Solve for g:
e = 10 g h
e = 10 g h is equivalent to 10 g h = e:
10 g h = e
Divide both sides by 10 h:
Answer: g = e/(10 h)
C=number of acres of corn
w=number of acres of wheat
total is 180 acres
c+w=180
wants to plant 3 times as many corn as wheat
c=3w
subsitute 3w for c in other
c+w=180
3w+w=180
4w=180
divide boh sides by 4
w=45
sub back
c=3w
c=3(45)
c=135
135 acres of corn and 45 acres of wheat
45:10 I think ? .. that’s how my teacher did it
Answer:
The other endpoint of the segment is
.
Step-by-step explanation:
The midpoint of the points
and
is given by the following formula:
![(x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28x_m%2Cy_m%29%3D%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%20%29)
where
= coordinates of the midpoint.
We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:
![(-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )](https://tex.z-dn.net/?f=%28-15%2C2%29%3D%28%5Cfrac%7Bx_1-12%7D%7B2%7D%2C%20%5Cfrac%7By_1%2B11%7D%7B2%7D%20%20%29)
To find
we need to solve this equation:
![-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18](https://tex.z-dn.net/?f=-15%3D%5Cfrac%7Bx_1-12%7D%7B2%7D%20%5C%5C%5C%5C%5Cfrac%7Bx_1-12%7D%7B2%7D%3D-15%5C%5C%5C%5C%5Cfrac%7B2%5Cleft%28x_1-12%5Cright%29%7D%7B2%7D%3D2%5Cleft%28-15%5Cright%29%5C%5C%5C%5Cx_1-12%3D-30%5C%5C%5C%5Cx_1-12%2B12%3D-30%2B12%5C%5C%5C%5Cx_1%3D-18)
and to find
we need to solve this equation:
![2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7](https://tex.z-dn.net/?f=2%3D%20%5Cfrac%7By_1%2B11%7D%7B2%7D%20%20%5C%5C%5C%5C%5Cfrac%7By_1%2B11%7D%7B2%7D%3D2%5C%5C%5C%5C%5Cfrac%7B2%5Cleft%28y_1%2B11%5Cright%29%7D%7B2%7D%3D2%5Ccdot%20%5C%3A2%5C%5C%5C%5Cy_1%2B11%3D4%5C%5C%5C%5Cy_1%3D-7)
The other endpoint of the segment is
.