Answer:
a)The sunglasses hit the ground at t=0 seconds
b)The maximum height h(t) = 1600feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the polynomial function
h(t) = -16 t² + 1600 ...(i)
Differentiating equation (i) with respective to 't' , we get
![\frac{dh}{dt} = -16(2t)+0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%20-16%282t%29%2B0)
Equating zero
![\frac{dh}{dt} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%200)
⇒ -32t =0
⇒ t =0
The sunglasses hit the ground at t=0 seconds
<u><em>Step(ii):-</em></u>
Again differentiating with respective to 't', we get
![\frac{d^{2} h}{dt^{2} } = -32(1) = -32](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%20h%7D%7Bdt%5E%7B2%7D%20%7D%20%3D%20-32%281%29%20%3D%20-32%20%3C0)
The maximum height at t=0
h(t) = -16 t² + 1600
h(t) = 1600feet
Answer:
y+4=-3(x+1)
Step-by-step explanation:
You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula
(y-y1=m[x-x1]), you just plug the rest of the variables in.
Answer:
22
Step-by-step explanation:
I hope this helps <3
J.
x represents the minutes and y shows how many gallons over that time.
Answer:
B) x = 7, y = 4![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units
you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
to find 'x', it is the sum of 3 and 4