Which answer is a polar form of the given rectangular equation? 9 xy = 81.

a. r2 = 9 sec q csc q
b. r2 = 3 sec q csc q
c. r2 = 3 sin q cos q
d. r2 = 9 sin q cos q
e. q = 9 sin q cos q


a. r2 = 9 sec q csc q

Mathematics

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Find the center (h, k) and radius r of the circle with the given equation. x2 + y2 + 4x - 8y + 20 = 64

A. (h, k) = (4, -2); r = 8 B. (h, k) = (-4, 2); r = 64 C. (h, k) = (-2, 4); r = 8 D. (h, k) = (2, -4); r = 64

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Perform the indicated operations and simplify the result. Leave the answer in factored form.

A. 10 B. -10 C. x2 D. 2x

Mathematics

Solve the problem.A stone is thrown into a pond. A circular ripple is spreading over the pond in such a way that the radius is increasing at the rate of 2.8 feet per second. Find a function, r(t), for the radius in terms of t. Find a function, A(r), for the area of the ripple in terms of r. 

A. (A ? r)(t) = 2.8?t2 B. (A ? r)(t) = 5.6?t2 C. (A ? r)(t) = 7.84?2t D. (A ? r)(t) = 7.84?t2

Mathematics

Explain how the graph of f can be obtained from the graph of y =  or y = . f(x) = -  - 10

A. Shift the graph of y =  to the right 1 unit and upward 10 units.
B. Reflect the graph of y =  across the y-axis, and shift to the left 10 units.
C. Shift the graph of y =  to the left 10 units and downward 1 unit.
D. Reflect the graph of y =  across the x-axis, and shift downward 10 units.

Mathematics