A. This question asks us to solve the equation for P. This also means to isolate this variable.
S=Ph+2B
S-2B = Ph
(S-2B)/h = P
B. Using the information, we plug this into the perimeter equation, where h = 4, S=96 and B = 8
(96-2(8))/4 = P
80/4 = P
P = 20 meters²
Answer:
a is 9
b is 77
Step-by-step explanation:
Give me brainllest
Step-by-step explanation:
it seems the answer is c. 3514 in3
So we have the system of equations:
![7+2y=8x](https://tex.z-dn.net/?f=7%2B2y%3D8x)
equation (1)
![3x-2y=0](https://tex.z-dn.net/?f=3x-2y%3D0)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
![x](https://tex.z-dn.net/?f=x)
in equation (2):
![3x-2y=0](https://tex.z-dn.net/?f=3x-2y%3D0)
![3x=2y](https://tex.z-dn.net/?f=3x%3D2y)
![x= \frac{2}{3}y](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2%7D%7B3%7Dy%20)
equation (3)
Replacing equation (3) in equation (1):
![7+2y=8x](https://tex.z-dn.net/?f=7%2B2y%3D8x)
![7+2y=8( \frac{2}{3} y)](https://tex.z-dn.net/?f=7%2B2y%3D8%28%20%5Cfrac%7B2%7D%7B3%7D%20y%29)
![7+2y= \frac{16}{3} y](https://tex.z-dn.net/?f=7%2B2y%3D%20%5Cfrac%7B16%7D%7B3%7D%20y)
![7= \frac{10}{3} y](https://tex.z-dn.net/?f=7%3D%20%5Cfrac%7B10%7D%7B3%7D%20y)
![y= \frac{7}{ \frac{10}{3} }](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B7%7D%7B%20%5Cfrac%7B10%7D%7B3%7D%20%7D%20)
![y= \frac{21}{10}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B21%7D%7B10%7D%20)
equation (4)
Replacing equation (4) in equation (3):
![x= \frac{2}{3}y](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2%7D%7B3%7Dy%20)
![x=( \frac{2}{3} )( \frac{21}{10} )](https://tex.z-dn.net/?f=x%3D%28%20%5Cfrac%7B2%7D%7B3%7D%20%29%28%20%5Cfrac%7B21%7D%7B10%7D%20%29)
![x= \frac{7}{5}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B7%7D%7B5%7D%20)
We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
I apologize, I am stumped... I thought you would find either the centroid, circumcenter, or incenter of the triangle created but it didn't work quite right for me.