Algebra and Trigonometry (5th Edition)

Chapter 1

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Substitute 0 for into the given equation and find... more

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:; :;:; :; :; : ; Find the vertical and horizontal... more

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:;:;:;:;:; : ; Find the vertical and horizontal ... more

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The coordinate is 4 units to the right of -axis ... more

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The coordinate is 1 units to the right of the -... more

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The coordinate is 5 units to the left of -axis ... more

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The coordinate is 4 units right from the origin ... more

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; Write the required ordered pairs from the given... more

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; Write the required ordered pairs according to ... more

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; Substitute for and for alphabetically into ... more

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; Substitute for and 8 for alphabetically into... more

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; Substitute for and for alphabetically into ... more

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; Substitute for and for alphabetically into ... more

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: No; : Yes ; Substitute for and for ... more

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: Yes; : Yes ; Substitute 0 for and for ... more

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: No; : Yes ; Substitute for and for ... more

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: No; : Yes ; Substitute 2 for and for ... more

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-intercept: -intercept: ; Substitute 0 for into ... more

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-intercept is -intercept is ; Substitute 0 for ... more

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-intercept is -intercept is ; Substitute 0 for ... more

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-intercept is -intercept is ; Substitute 0 for ... more

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-intercept: -intercept: ; Substitute 0 for into ... more

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-intercept: -intercept: ; Substitute 0 for into ... more

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Substitute 0 for into the given equation and ... more

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Substitute 0 for into the given equation and ... more

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Subtract from both sides of the given equation.... more

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Subtract from both sides of the given equation to... more

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Substitute 0 for into the obtained equation and ... more

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Add to both the sides of the equation.Divide both... more

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Subtract from both the sides of the equation.... more

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Substitute 0 for into the obtained equation and ... more

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Subtract from both the sides of the equation.... more

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Subtract from both the sides of the equation.... more

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Subtract from both the sides of the equation.... more

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Subtract from both the sides of the equation.... more

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The equation does not represent a straight line as... more

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The equation does not represent a straight line as... more

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The equation does not represent a straight line as... more

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The equation does not represent a straight line as... more

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The equation does not represent a straight line as... more

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The equation does not represent a straight line as... more

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; ; Plot the given points on a graph. ; In the ... more

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; ; Plot the given points on a graph. ; In the ... more

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13 ; Plot the given points on a graph. ; In the ... more

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50 ; Plot the given points on a graph. ; In the ... more

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; ; Plot the given points on a graph. ; In the ... more

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; ; Plot the given point on a graph. ; In the ... more

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16 ; Plot the given points on a graph. ; In the ... more

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; ; Plot the given points on a graph. ; In the ... more

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; ; Plot the given points on a graph. ; In the ... more

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5 ; Plot the given points on a graph. ; Substitute... more

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; ; Plot the given points on a graph. ; Substitute... more

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; Plot the given points on a graph. ; In the ... more

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; In the distance formula, and are arbitrary.... more

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; In the distance formula, and are arbitrary.... more

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; Plot the given points and the circle whose ... more

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10 ; Draw a circle passing through the point with... more

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Yes ; Substitute for and for into the distance... more

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Yes ; Substitute for and for into the distance... more

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No ; Substitute for and for into the distance ... more

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Since , , and , the lengths of the opposite sides ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ;  In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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; Plot the given points on a graph. ; In the ... more

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, , , .No. ; Plot the graph of the rectangle by ... more

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, , , .Yes ; Plot the graph of the rectangle by ... more

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; The centre of the circle is the midpoint of any... more

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; The centre of a square is the midpoint of one ... more

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; Substitute for and for into the equation of... more

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; Multiply the given diameter of the circle by ... more

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; The distance between the centre of the circle ... more

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; The distance between the centre of the circle ... more

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; Determine the length of the diameter by ... more

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; The diagonal of a square which is inscribed in ... more

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; The circle is tangent to the -axis at the point... more

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; The circle is tangent to the -axis at the point... more

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Centre:Radius: 2 units ; Rewrite the given ... more

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Centre: Radius: 9 units ; Rewrite the given ... more

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Centre: Radius: 4 units ; Rewrite the given ... more

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Centre: Radius: 10 units ; Rewrite the given ... more

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Centre: Radius: 6 units ; Rewrite the given ... more

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Centre: Radius: 5 units ; Rewrite the given ... more

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Centre: Radius: 3 units ; Rewrite the given ... more

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Centre: Radius: 8 units ; Rewrite the given ... more

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; The graph shows that the circle is centered at ... more

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; The graph shows that the circle is centered at ... more

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; The graph shows that the circle is centered at ... more

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; The graph shows that the circle is centered at ... more

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Third ; The fourth quadrant has the coordinates ... more

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; Substitute for and for into the distance ... more

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; Substitute for and for intothe distance ... more

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; Equate the formula of the circumference of a ... more

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; The area of a circle is given by .Equate the ... more

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; Consider a point on the -axis that is ... more

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; Consider a point on the -axis that is ... more

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Yes ; Three points are said to be collinear if the... more

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Entire Proof Answer: The midpoint of the line ... more

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Yes ; The length of the radius of a unit circle is... more

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Yes ; The length of radius of a unit circle is 1 ... more

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Yes ; The length of radius of a unit circle is 1 ... more

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Yes ; The length of radius of a unit circle is 1 ... more

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The distance of point from is equal to .The ... more

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Yes ; By the definition of a function, it allows ... more

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Yes ; By the definition of a function, it allows ... more

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Yes ; By the definition of a function, it allows ... more

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No ; The given correspondence is not a function ... more

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No ; The given correspondence is not a function ... more

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Yes ; By the definition of a function, it allows ... more

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Yes ; By the definition of a function, it allows ... more

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No ; The given correspondence is not a function ... more

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Yes ; The correspondence is a function because ... more

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No ; The correspondence is not a function because ... more

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The correspondence is a function. ; The ... more

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No ; The correspondence is not a function because ... more

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No ; The correspondence is not a function because ... more

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Yes ; The correspondence is a function because a ... more

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YesDomain:; Range: ; This relation is a function ... more

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YesDomain:; Range: ; This relation is a function ... more

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NoDomain: ; Range: ; This relation is not a ... more

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NoDomain:; Range: ; This relation is not a ... more

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Yes Domain:; Range: ; This relation is a function ... more

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NoDomain:; Range: ; This relation is not a ... more

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0UndefinedUndefined ; Substitute 0 for into the ... more

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Undefined ; Substitute 0 for into the given ... more

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Substitute different value of into the given ... more

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Substitute different value of into the given ... more

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Substitute different value of into the given ... more

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Substitute different value of into the given ... more

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Substitute different value of into the given ... more

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Substitute different value of into the given ... more

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; 2; 1 ; The -coordinate is when the -coordinate ... more

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3; 3; 3 ; The -coordinate is 3 when the -... more

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3;0; ; The -coordinate is 3 when the -coordinate ... more

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;; ; The -coordinate is when the -coordinate is... more

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2;0; ; The -coordinate is 2 when the -coordinate ... more

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4;; ; The -coordinate is 4 when the -coordinate is... more

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No ; Perform the vertical line test on the given ... more

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No ; Perform the vertical line test on the given ... more

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Yes ; Perform the vertical line test on the given ... more

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Yes ; Perform the vertical line test on the given ... more

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Yes ; Draw the vertical lines on the given graph... more

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Yes ; Draw the vertical lines on the given graph... more

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No ; Draw the vertical lines on the given graph... more

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No ; Draw the vertical lines on the given graph... more

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; The given function represents the equation of a... more

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; The given function is defined for all real ... more

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; Substitute any value for into the given ... more

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; Find the value of such that the denominator of... more

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; Find the value of such that the denominator of... more

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; Substitute any value for into the given ... more

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or ; Find the value of such that the denominator ... more

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or ; Find the value of such that the denominator ... more

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or ; Find the value of such that the denominator ... more

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or ; Find the value of such that the denominator ... more

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; The index of the given function is odd and the ... more

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; The index of the given function is odd and the ... more

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or ; Find the value of such that the denominator ... more

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or ; Find the value of such that the denominator ... more

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; Substitute any value for into the given ... more

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; Substitute any value for into the given ... more

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Domain:Range: ; Determine the domain of a function... more

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Domain:Range: ; Determine the domain of a function... more

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Domain:Range: ; Determine the domain of a function... more

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Domain:Range: ; Determine the domain of a function... more

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Domain:; range: ; The domain of the given function... more

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Domain:; range: ; The domain of the given function... more

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Domain: ; range: ; From the given graph, it is ... more

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Domain: ; range: ; From the given graph, it is ... more

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Domain:; Range: ; Substitute 0, , and for into ... more

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Domain:; Range: ; Substitute 0, , and for into ... more

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Domain:; Range: ; Substitute 0, 1, and 2 for into... more

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Domain:; Range: ; Substitute , 0, and 1 for into ... more

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Domain: ; Range: ; The given function is not ... more

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Domain: ; Range: ; The given function is not ... more

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Domain:; Range: ; Substitute , 0, 1, and 2 for ... more

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Domain:; Range: ; Substitute , 1, 2, , and 3 for ... more

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Domain: ; Range: ; Substitute , , 0, 3, and 7 for... more

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Domain: ; Range: ; Substitute , , 0, 2, and 4 for... more

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Domain:; Range: ; Substitute 0, 1, 2, 3, and 4 for... more

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Domain:; Range: ; Substitute 0, 1, 2, 3, and 4 for... more

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: 645 m; : 0 m ; Substitute for t into the given ... more

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15 mph: watts per hour; 35 mph: watts per hour ; ... more

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: Yes; : No  ; Substitute  for x and  for y into ... more

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: No; : Yes ; Substitute 0 for x and for y into ... more

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: Yes;: Yes ; Substitute for and for into the ... more

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Substitute the arbitrary values of into the given... more

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Substitute the arbitrary values of into the given... more

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Solve the given equation for . ; Substitute the ... more

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Rewrite the given equation in the form of standard... more

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; As the index of the given expression is even, ... more

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; The domain for in the denominator is all real ... more

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; The domain for in the denominator is all real ... more

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; The value of radicand for the first term ... more

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; Two functions that have the same range and ... more

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Draw a line segment starting from to and another... more

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; Equate to and solve for . ; Substitute for ... more

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The given equation of line is of the type  which ... more

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; Use the given two points on the graph to ... more

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; Use the given two points on the graph to ... more

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; Use the given two points on the graph to ... more

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Not defined ; Use the given two points on the ... more

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0 ; Use the given two points on the graph to ... more

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; Use the given two points on the graph to ... more

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; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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Not defined ; Use the given points to evaluate the... more

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; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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0 ; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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; Use the given points to evaluate the slope by ... more

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; Use the two given points on the graph to ... more

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Not defined ; Use the two given points on the ... more

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Not defined ; Use the two given points on the ... more

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0 ; Use the two given points on the graph to ... more

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; Substitute 4 for and for into the slope ... more

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; Substitute for and 4 for into the slope ... more

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; Substitute for and for into the slope ... more

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; Substitute 8 for and for into the slope ... more

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; Substitute for and 0 for into the slope ... more

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; Substitute for and for into the slope ... more

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; Substitute 2 for into the given equation and ... more

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; Substitute 5 for into the given equation and ... more

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Not defined ; The given equation does not have , ... more

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; Substitute for into the given equation and ... more

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; Substitute 2 for into the given equation and ... more

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0 ; Since the given equation does not have a ... more

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; Substitute 2 for into the given equation and ... more

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Not defined. ; Since the given equation does not ... more

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; Since the given equation does not have a ... more

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; Substitute for into the given equation and ... more

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  ; Calculate the expected average rate of change ... more

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; Calculate the average rate of change in the ... more

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; Compute the average rate of change in the ... more

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; Compute the average rate of change in the ... more

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28,889 acres per year ; Compute the average rate ... more

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; Compute the average rate of change in the ... more

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gallons per year ; Compute the average rate of ... more

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per year ; Compute the average rate of change in ... more

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; Use the slope-intercept form, , where m is the ... more

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; Use the slope- intercept form, , where m is the... more

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Slope is not defined and there is no -intercept... more

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; Use the slope-intercept form, , where m is the ... more

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; Use the slope- intercept form, , where m is the... more

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; Use the slope-intercept form, , where m is the ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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; Use the slope-intercept form, , where m is the ... more

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Slope is not defined and there is no -intercept... more

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; Add to both sides of the given equation. ; ... more

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; Subtract and 9 from both sides of the given ... more

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; Add to both sides and subtract 2 from both ... more

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; Use the slope-intercept form, , where m is the ... more

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Compare the given equation by slope-intercept form... more

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Compare the given equation by slope-intercept form... more

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Compare the given equation by slope-intercept form... more

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Compare the given equation by slope-intercept form... more

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Subtract from both sides of the given equation.... more

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Subtract from both sides of the given equation.... more

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Subtract from both sides of the given equation.... more

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Add to both sides of the given equation.Divide ... more

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: : : : : ; To evaluate the value of when is 0, ... more

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: ; Use the slope-intercept form of the equation... more

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: ; Use the slope-intercept form of the equation... more

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: ; Use the slope-intercept form of the equation, ... more

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: ; Write the equation for the total cost by ... more

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; Substitute for x into the given equation to ... more

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; Substitute 5 for x into the given equation to ... more

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; Substitute for x into the given equation to ... more

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; Substitute for x into the given equation to ... more

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; Substitute for into the given equation. ; ... more

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; Convert the given percentage into a fraction... more

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; Substitute for , for , for , and for into... more

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Not defined ; Substitute for, for, for, and for... more

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Let be an arbitrary function.Substitute for x ... more

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Let be an arbitrary function.Substitute for x ... more

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; Substitute for into the equation, .Use ... more

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; Substitute for into the equation, and ... more

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The line that passes through the origin has the x-... more

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For a relation, there must be some correspondence ... more

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The line parallel to y-axis passing through the ... more

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-intercept:; -intercept: ; Substitute 0 for into ... more

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; Substitute for , 3 for, for , and 7 for into... more

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; Substitute for , for , for , and for into ... more

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; Compare the given coordinate of centre by to ... more

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; 2 units ; Rewrite the given equation in standard... more

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Substitute 0 for into the given equation and solve... more

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Compare the given equation by slope-intercept form... more

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The equation does not represent a straight line as... more

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The given equation is similar to the equation of ... more

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; ; ; Substitute for x into the given equation ... more

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; ; : Does not exist ; Substitute for x into the ... more

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; The given function is a linear function defined... more

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; Find the value of x that makes the denominator ... more

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; Find value of x that makes the denominator of ... more

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Substitute arbitrary values of and solve to find ... more

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Substitute arbitrary values of and solve to find ... more

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Domain:; Range: ; Find the domain of a function by... more

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Not defined  ; Arbitrarily, take any two points as... more

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; Arbitrarily, take any two points as and .... more

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0 ; Arbitrarily, take any two points as and .... more

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Slope:; - intercept: ; Compare the given equation ... more

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Slope: 0; - intercept: ; Compare the given ... more

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Slope: Not defined; - intercept: None ; The graph ... more

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Slope: ; intercept:   ; Add and on both sides of... more

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Slant is related to the sign of a slope.Steepness ... more

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The line intersects the graph more than once; as a... more

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Domain is the value on which a function is defined... more

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; Let the coordinates of point beand the ... more

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4 ; The -intercept is the point where is 0. By ... more

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; The -intercept is the point where is 0. By ... more

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; The -intercept is the point where is 0. By ... more

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; The -intercept is the point where is 0. By ... more

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; The given graph represents the graph of a ... more

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1 ; Let the other point on the line be.Let and. ... more

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; Compare the given -intercept with to find the ... more

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; Compare the given -intercept with to find the ... more

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; Compare the given -intercept with to find the ... more

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; Compare the given -intercept with to find the ... more

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; Compare the given -intercept with to find the ... more

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; Compare the given -intercept with to find the ... more

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; Substitute for , 3 for , and 7 for into the ... more

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; Substitute for , 5 for , and 6 for into the ... more

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; Substitute 0 for , for , and 8 for into the ... more

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; Substitute for , for , and 1 for into the ... more

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; Substitute for , for , and for into the ... more

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; Substitute for , for , and for into the ... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; Arbitrarily choose any of the points as and .... more

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; ; Vertical lines are those which pass through ... more

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; ; Vertical lines are those which pass through ... more

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; ; Vertical lines are those which pass through ... more

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; ; Vertical lines are those which pass through ... more

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; 1 ; Compare with to find the point that ... more

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; ; Compare with to find the point that ... more

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; ; Compare with to find the point that ... more

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; 4 ; Compare with to find the point that ... more

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Solve each equation for and find the slopes for ... more

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; ; Compare the given equation with the slope-... more

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; ; Compare the given equation with the slope-... more

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; ; Compare the given equation with the slope-... more

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; ; Compare the given equation with the slope-... more

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; ; Divide both sides of the given equation by 4 ... more

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; ; Solve the given equation for . ;   ; Compare ... more

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; ; The line is a vertical line as vertical lines... more

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; ; The line is a horizontal line as horizontal ... more

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The equation represents a line parallel to -axis ... more

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The product of the slopes of perpendicular lines ... more

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The slopes of parallel lines are equal.Compare the... more

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The equation represents a vertical line passing ... more

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The equation represents a vertical line passing ... more

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Simplify the given equations in terms of . Compare... more

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No ; It can be observed from the graph that the ... more

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Yes  ; It can be observed from the graph that the ... more

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Yes ; It can be observed from the graph that the ... more

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No ; It can be observed from the graph that the ... more

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; 9452 kilowatt-hours ; Let be and be .... more

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; ; ; Let be and be .Substitute 0 for , 6 for... more

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; gallons ; Let be and be .Substitute 1 for , ... more

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; ; Let be and be .Substitute 1 for , 3 for , ... more

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Not defined ; Let be and be.Substitute 5 for, 5... more

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; Let be and be. Substitute 2 for, for, for, ... more

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; Substitute 5 for into to find the radius of ... more

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; Substituting for , for , and for into . ; ... more

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; Let be and be. Substitute for, 4 for, for ... more

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; Let be and be . Substitute for , 2 for , 3 ... more

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; Substitute for and for into to obtain the ... more

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4 ; Add to both the sides of the given equation ... more

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2  ; Add 1 to both the sides of the given equation... more

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; The least common denominator is 5.Multiply both... more

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; The least common denominator is 10.Multiply ... more

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; Add to both the sides of the given equation ... more

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; Add to both the sides of the given equation ... more

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