Solve the problem.A person is standing on the top of a building 50 feet above the ground. They project an object upward with an initial velocity of 40 feet per second. The object's distance above the ground, d, after t seconds may be found by the formula . What is the maximum height the object will reach. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

A. maximum height = 50 ft; time to reach ground = 2.5 seconds
B. maximum height = 50 ft; time to reach ground = 1.25 seconds
C. maximum height = 75 ft; time to reach ground = 1.25 seconds
D. maximum height = 75 ft; time to reach ground = 2.5 seconds


Answer: D

Mathematics

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Solve the problem.Points A(-1, -2), B(2, -3), and C(-3, -8) are given. Find all possible coordinates of point D such that the four points form a rectangle. For each location of point D found, find a translation that will take  to the opposite side of the rectangle formed.

A. D(3-9); A translation that takes  to  such that the image of A is C and the image of B is D is (x, y) ? (x - 3, y - 1).
B. D(0, -9); A translation that takes  to  such that the image of A is C and the image of B is D is (x, y) ? (x - 2, y - 6).
C. D(-2-8); A translation that takes  to  such that the image of A is C and the image of B is D is (x, y) ? (x - 6, y - 2).
D. D(1, -11); A translation that takes  to  such that the image of A is C and the image of B is D is (x, y) ? (x + 1, y + 3).

Mathematics

Graph the solution set of the system of inequalities or indicate that the system has no solution. 

A.

B.

C.

D.

Mathematics

Provide an appropriate response.Find the area between the graph of y = f(x) = x3, and the x-axis on the interval . Use your graphing calculator to see a graph of this area.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Divide where possible.

A. Undefined
B. - 
C. 14
D. -14

Mathematics