The letters r and ? represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 2(sin ? - cos ?)

A. x2 + y2 = 2y - 2x
B. 2x2 + 2y2 = y - x
C. 2x2 + 2y2 = x - y
D. x2 + y2 = 2x - 2y


Answer: A

Mathematics

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Write the equation for the plane.The plane through the points P(5, 8, -33) , Q(-3, -6, 19) and R(-1, 7, -13).

A. 3x + 2y + z = 2 B. 2x + y + 3z = -2 C. 3x + 2y + z = -2 D. 2x + y + 3z = 2

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Sketch the circle.(x - 1)2 + (y - 4)2 = 4

A.

B.

C.

D.

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Solve the problem.Anita's regular hourly rate is $14 for a 40-hour work week. She is paid time-and-a-half for each hour worked on weekends. One week Anita worked 40 hours from Monday through Friday and 8 hours on Saturday. Find her gross pay for the week.

A. $672 B. $728 C. $560 D. $224

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Solve the problem. The weekly total profits of a small business that sells computers can be approximated by  where P is the weekly total profits and N is the number of computers sold that week. Use the equation to create a graph, assuming that computer sales range between 100 and 400 per week. (Hint: Since it is a nonlinear equation, you must plot several different values of the independent variable before connecting points with a smooth line.)Weekly Profit

A.

Weekly Profit

B.
Weekly Profit

C.
Weekly Profit

D.
Weekly Profit

Mathematics