Answer:
2
Step-by-step explanation:
All the triangles are similar, so ...
... 4/y - y/9
... 36 = y² . . . . . multiply by 9y
... 6 = y
From the Pythagorean theorem, ...
... x² = 4² + y² = 4² + 6²
... x² = 52 = 4·13
... x = √(4·13) = 2√13
Green Box: 2
Answer:
The height of the ball after 2 seconds = 96 feet.
Step-by-step explanation:
Given:
<em>The height of a golf ball hit with an initial velocity of 80 FPS is given by:</em>
<em>
</em>
<em>where
represents height of the ball in feet and
represents time in seconds.</em>
To find the height of the ball after 2 seconds.
Solution:
In order to find the height of the ball after 2 seconds, we plugin t=2 in the given function of height.
We have:
![H(t)=-16t^2+80t](https://tex.z-dn.net/?f=H%28t%29%3D-16t%5E2%2B80t)
<em>At
seconds</em>
![H(2)=-16(2)^2+80(2)](https://tex.z-dn.net/?f=H%282%29%3D-16%282%29%5E2%2B80%282%29)
![H(2)=-16(4)+160](https://tex.z-dn.net/?f=H%282%29%3D-16%284%29%2B160)
![H(2)=-64+160](https://tex.z-dn.net/?f=H%282%29%3D-64%2B160)
![H(2)=96](https://tex.z-dn.net/?f=H%282%29%3D96)
Thus, height of the ball after 2 seconds = 96 feet.