The function h(t) = -16t² + 72t will equal zero when the ball hits the ground:
-16t² + 72t = 0. Solving for the time, t, we factor -16t² + 72t : 16t (-t + 4.5) = 0.
This results in t = 0 and t = 4.5 sec. The ball hits the ground after 4.5 sec.
Problem 12.
Starting with A:(-5,3): Reflecting A over the y-axis results in B: (5,3). Translating B 3 units to the right results in C: (8,3). Finally, translating C down by 4 units results in D: (8,-1) (answer).
<span>Solve the following problem 2/3=m/42
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Solution is M=28
Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12
tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5
2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26
sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26
sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
Answer: 11.125
Step-by-step explanation: