Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.
The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let
be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
![54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6](https://tex.z-dn.net/?f=54%20%3D%202%284y-3%29%20%2B%202y%5C%5C54%20%3D%208y%20-%206%20%2B%202y%5C%5C54%20%2B%206%20%3D%208y%20%2B%202y%5C%5C60%20%3D%2010%20y%5C%5C%5C%5C%5Cfrac%7B60%7D%7B10%7D%3D%20y%5C%5Cy%20%3D%206)
Using the value of y, we find x.
![x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21](https://tex.z-dn.net/?f=x%20%3D%204y%20-%203%5C%5Cx%20%3D%204%286%29%20-3%5C%5Cx%3D%2024%20-%203%5C%5Cx%20%3D%2021)
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.