Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is,
, where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :
![\frac{dh}{dt} =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D0)
Now the differentiating the equation with respect to time t, we get
![\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%28-8t%5E2%2B40t%29)
![\frac{dh}{dt}=-16t+40](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D-16t%2B40)
For maximum height, ![\frac{dh}{dt} =0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D0)
So, ![-16t+40=0](https://tex.z-dn.net/?f=-16t%2B40%3D0)
![\Rightarrow 16t=40](https://tex.z-dn.net/?f=%5CRightarrow%2016t%3D40)
![\Rightarrow t=\frac{40}{16}](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D%5Cfrac%7B40%7D%7B16%7D)
![\Rightarrrow t = 2.5](https://tex.z-dn.net/?f=%5CRightarrrow%20t%20%3D%202.5)
Therefore, the ball takes 2.5 seconds time to reach the maximum height.
The first step can be subtracting 2x from both sides leaving the equation with 6x + 3 = -15
Answer:
The absoloute value is 2
Step-by-step explanation:
absoloute value is the places away from 0. -2 is 2 spots away from 0.
<h2>
Answer:</h2><h2>The slope is 5/2</h2><h2 /><h2>Hope this helps!!</h2>