One positive number is 2 larger than another number. The sum of their squares is 52. Find the numbers. 

A. 4, 6
B. 7, 8
C. 5, 7
D. 6, 7
E. 2, 4


Answer: A

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 = 4 cos t, y = 4 sin t, ? ? t ? 2?

A. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16

Counterclockwise from (-4, 0) to (4, 0)
C. x2 + y2 = 16

Clockwise from (4, 0) to (-4, 0)
D. x2 + y2 = 16

Counterclockwise from (4, 0) to (4, 0), one rotation

Mathematics

Plot the point in the rectangular coordinate system.(1.5, -6.5)

A.

B.

C.

D.

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Find the exact value of the expression.sin 20° cos 100° + cos 20° sin 100°

A.
B.
C. - 
D. - 

Mathematics

Find the surface area generated by rotating the lemniscate r² = 10cos2? about the line ?= ?.

What will be an ideal response?

Mathematics