Volume is calculated by multiplying (3/4)pi by the radius cubed
Answer:
x = -9, -2, and 3.
just set everything possible to 0.
since 0 = 0 it must be true.
22.5 miles
You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.
Answer:
An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:
![y-1=\frac{1}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)
Step-by-step explanation:
Given the points
Finding the slope between the points (-4,1) and (4,3)
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-4%2C%5C%3A1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%284%2C%5C%3A3%5Cright%29)
![m=\frac{3-1}{4-\left(-4\right)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-1%7D%7B4-%5Cleft%28-4%5Cright%29%7D)
Refine
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
Point slope form:
![y-y_1=m\left(x-x_1\right)](https://tex.z-dn.net/?f=y-y_1%3Dm%5Cleft%28x-x_1%5Cright%29)
where
- m is the slope of the line
in our case,
substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.
![y-y_1=m\left(x-x_1\right)](https://tex.z-dn.net/?f=y-y_1%3Dm%5Cleft%28x-x_1%5Cright%29)
![y-1=\frac{1}{4}\left(x-\left(-4\right)\right)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x-%5Cleft%28-4%5Cright%29%5Cright%29)
![y-1=\frac{1}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)
Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:
![y-1=\frac{1}{4}\left(x+4\right)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B1%7D%7B4%7D%5Cleft%28x%2B4%5Cright%29)