Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Answer:
<h2><u><em>
x = 2</em></u></h2>
Step-by-step explanation:
Find the value of x.
5+x=7
x = [?]
5 + x = 7
x = 7 - 5
<u><em>x = 2</em></u>
----------------check
5 + 2 = 7
7 = 7
the answer is good
Y varies directly with x means y = kx or y/x = k where k is the constant of variation (slope)
Using

we can plug in the x and y values from the given points.
We get the following proportion:

32 = 4y ← cross multiply
8 = y ← divide both sides by 4
ANSWER: y = 8