Find an equation of a parabola satisfying the given conditions.Focus at (0, 2?), directrix y = -2?
A. x2 = 8?y
B. y2 = 8?x
C. y2 = 4?x
D. x2 = 2?y
Answer: A
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The bottom of a ladder sits on the ground 3 horizontal feet from a wall. The top of the ladder rests atop a wall that is 11 feet high. What is the slope of the line made by the ladder? (Assume that the positive direction points from the base of the ladder toward the wall.) ?
A. 4.02 feet per foot B. 0.27 feet per foot C. 3.67 feet per foot D. 0.30 feet per foot
Solve
14 Find x: ÄÄÄ = 4 ÚÄÄ û3x a. 4.32 b. 5.04 c. 2.57 d. 4.08 e. 2.0
Provide an appropriate response.The cube of a negative number is negative.
A. True B. False
Solve the problem.When granular materials are allowed to fall freely, they form conical (cone-shaped) piles. The naturally occurring angle of slope, measured from the horizontal, at which the loose material comes to rest is called the angle of repose and varies for different materials. The angle of repose ? is related to the height h and base radius r of the conical pile by the equation ? = cot-1 
. Find the angle of repose for a granular material which forms a cone-shaped pile with a height of 16 feet and a base diameter of 35.2 feet.
A. ? = 24.44° B. ? = 65.56° C. ? = 47.73° D. ? = 42.27°