1. The function
![h(t)=-16t^{2}+48t](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B48t)
is a parabola of the form
![ax^{2}+bx](https://tex.z-dn.net/?f=ax%5E%7B2%7D%2Bbx)
. The the formula for the axis of symmetry of a parabola is
![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20)
. We can infer from our function that
![a=-16](https://tex.z-dn.net/?f=a%3D-16)
and
![b=48](https://tex.z-dn.net/?f=b%3D48)
, so lets replace those values in our formula:
![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20)
![x= \frac{-48}{-2(16)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-48%7D%7B-2%2816%29%7D%20)
![x= \frac{-48}{-32}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-48%7D%7B-32%7D%20)
![x= \frac{3}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B3%7D%7B2%7D%20)
![x=1.5](https://tex.z-dn.net/?f=x%3D1.5)
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
![0=-16t^{2}+48t](https://tex.z-dn.net/?f=0%3D-16t%5E%7B2%7D%2B48t)
![-16t(t-3)=0](https://tex.z-dn.net/?f=-16t%28t-3%29%3D0)
![t=0](https://tex.z-dn.net/?f=t%3D0)
or
![t-3=0](https://tex.z-dn.net/?f=t-3%3D0)
![t=0](https://tex.z-dn.net/?f=t%3D0)
or
![t=3](https://tex.z-dn.net/?f=t%3D3)
From our previous point we know that the ball reaches its maximum time at
![t=1.5](https://tex.z-dn.net/?f=t%3D1.5)
, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
Finding three volume is super easy the equation for volume is the area of the base times the height so u will find the area of all the small part and then add those and then multiply by the height
17 if you maintain the ratio of 2:1 for bread and cheese, but you would get a remainder of 7 cheese slices. You could, however, cut up the extra pieces of cheese and add ~0.41 slices of cheese to each sandwich, which would melt into the rest of the cheese if you are grilling the sandwich. Otherwise, it's just an extra chunck, which is perfectly fine.
Y= Slope(x) + y-int.
Y= mx +b
Y= -3x +2
Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is
![A=\frac{1}{2}\times base\times height](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height)
It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is
![A=\frac{1}{2}\times 11\times 10](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2011%5Ctimes%2010)
![A=55](https://tex.z-dn.net/?f=A%3D55)
Therefore the area of the parallelogram is 55 square unit.