Answer:
c
Step-by-step explanation:
Answer: 8cm
Step-by-step explanation:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
Solve for h;
![h=\frac{V}{\pi r^2}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BV%7D%7B%5Cpi%20r%5E2%7D)
![h=\frac{400cm^3}{(3.14)(4cm)^2}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B400cm%5E3%7D%7B%283.14%29%284cm%29%5E2%7D)
![h=7.96\\h=8](https://tex.z-dn.net/?f=h%3D7.96%5C%5Ch%3D8)
Answer:
read the answer through and collect all the information you can
Hi there!
The general formula of A line in slope-intercept form is the following:
![y = mx + n](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20n)
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
![y = \frac{2}{5} x + n](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B2%7D%7B5%7D%20x%20%2B%20n)
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1
![- 1 = \frac{2}{5} \times - 3 + n](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%5Ctimes%20%20-%203%20%2B%20n)
Multiply first.
![- 1 = - 1\frac{1}{5} + n](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20-%20%201%5Cfrac%7B1%7D%7B5%7D%20%20%2B%20n)
And finally add 1 1/5 to both sides of the equation.
![\frac{1}{5} = n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20%3D%20n)
We can now switch sides.
![n = \frac{1}{5}](https://tex.z-dn.net/?f=n%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20)
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following: