Solve the problem.Given that the polar equation r =  models the orbits of the planets, estimate the closest approach of Pluto's orbit, for which  and  to the sun.

A. About 74 astronomical units
B. About 30 astronomical units
C. About 39 astronomical units
D. About 50 astronomical units


Answer: B

Mathematics

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Solve the problem.A projectile is fired from a cliff 600 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 120 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 712.5 ft B. 112.5 ft C. 225 ft D. 937.5 ft

Mathematics

Solve.x2 + y2 = 65xy = 8

A. (8, 1), (2, 8), (-8, -1), (-2, -8) B. (16, 1), (1, 8), (-16, -1), (-1, -8) C. (8, 1), (1, 8), (-8, -1), (-1, -8) D. (1, 1), (1, 8), (-1, -1), (-1, -8)

Mathematics

Find the 6th term in the binomial expansion of . ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

Solve the system of linear equations.  x - 7y = -14-7x - 7y = 42

A. (-6, 0) B. (7, 0) C. No solution D. (-7, 1)

Mathematics