Convert the polar equation to a rectangular equation.r = 

A. 3y2 - x2 + 16 = 0
B. 3x2 - y2 + 16 = 0
C. 3y2 - x2 -16y + 16 = 0
D. 3x2 - y2 -16x + 16 = 0


Answer: D

Mathematics

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Solve the problem.The number G of gears a machine can make varies directly as the time T it operates. If it can make 2706 gears in 14 hours, how many gears can it make in 3 hours?

A. 0.0155 gears B. 579.86 gears C. 2723 gears D. 193.29 gears

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Write an equation in x that models the conditions. Do not solve the equation.12 is what percent (x) of 75?

A. 12 = 75x B. 0.12 = 75x C. 12x = 75 D. 12 = 0.75x

Mathematics

Find the standard form of the equation of the ellipse and give the location of its foci.Center at (-1, 2)

A.  +  = 1
foci at (-1 + 3, -1) and (-1 - 3, -1)
B.  +  = 1
foci at (2 + 3, -1) and (2 - 3, -1)
C.  +  = 1
foci at (- 3, 2) and (3, 2)
D.  +  = 1
foci at (-1 + 3, 2) and (-1 - 3, 2)

Mathematics

Use the Binomial Theorem to find the indicated coefficient or term.The 7th term in the expansion of (x + 2y)11

A. 14,784x5y7 B. 14,784x6y5 C. 29,568x5y6 D. 29,568x6y5

Mathematics