Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph. +  = 1; (-3, 4)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1


Answer: D

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 9

Counterclockwise from (3, 0) to (3, 0), one rotation
B. x2 + y2 = 9

Clockwise from (3, 0) to (-3, 0)
C. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
D. x2 + y2 = 9

Counterclockwise from (-3, 0) to (3, 0)

Mathematics

Solve the problem. Express your answer in scientific notation, and round to one decimal place. The national debt of a small country is $7,740,000,000 and the population is 2,396,000. What is the amount of debt per person?

A. $3.2 B. $32 C. $3.2 × 103 D. $3.2 × 106

Mathematics

The velocity of a sky diver t seconds after jumping is given by . After how many seconds is the velocity 60 ft/s?

What will be an ideal response?

Mathematics

Solve the inequality and graph the solution set. ? 1

A. [3, 11]

B. (-?, 3] ? [11, ?)

C. (3, 11)

D. ?

Mathematics