Find the center of mass of a thin plate of constant density covering the given region.The region in the first and fourth quadrants enclosed by the curves 
and 
and by the lines 
and 
A. 
= 
, 
= 0
B. 
= 
, 
= 0
C. 
= 0, 
= 
D. 
= 
, 
= 0
Answer: B
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Factor completely, or state that the polynomial is prime.12x2 - 52x - 40
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Solve the problem.A projectile is fired from a height of 7.3 feet with an initial velocity of 122 ft/sec at an angle of 48° with the horizontal. The parametric equations for the path of the projectile are x = (122 cos 48°)t, and y = 7.3 + (122 sin 48°)t - 16t2,where x and y are in feet and t is in seconds. Determine the maximum height reached by the projectile. Round your answer to the nearest tenth of a foot.
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A. Composite B. Prime