Assume x are Erica's classes & y are Bo's classes.
x+y=35
x=2y-13
Replacing the value of x into the first equation
2y-13+y=35
3y=35+13
y=16 classes
x=2*16-13=19 classes
Answer:
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
Step-by-step explanation:
Given


Required
Determine the area bounded by the curves
First, we need to determine their points of intersection

Subtract 2x from both sides

Multiply through by -1

Take square root of both sides
or 
This Area is then calculated as thus
![A = \int\limits^a_b {[y_1 - y_2]} \, dx](https://tex.z-dn.net/?f=A%20%3D%20%5Cint%5Climits%5Ea_b%20%7B%5By_1%20-%20y_2%5D%7D%20%5C%2C%20dx)
<em>Where a = 2 and b = -2</em>
Substitute values for
and 

Open Brackets

Collect Like Terms


Integrate
](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%20%2B4x%5D%282%2C-2%29)
![A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7B2%5E%7B3%7D%7D%7B3%7D%20%2B4%282%29%5D%20-%20%5B-%5Cfrac%7B-2%5E%7B3%7D%7D%7B3%7D%20%2B4%28-2%29%5D)
![A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]](https://tex.z-dn.net/?f=A%20%3D%20%5B-%5Cfrac%7B8%7D%7B3%7D%20%2B8%5D%20-%20%5B-%5Cfrac%7B-8%7D%7B3%7D%20-8%5D)
![A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B-8%2B%2024%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B8%7D%7B3%7D%20-8%5D)
![A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B-8%2B%2024%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B8-24%7D%7B3%7D%5D)
![A = [\frac{16}{3}] - [\frac{-16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%5D%20-%20%5B%5Cfrac%7B-16%7D%7B3%7D%5D)
![A = [\frac{16}{3}] + [\frac{16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%5D%20%2B%20%5B%5Cfrac%7B16%7D%7B3%7D%5D)
![A = [\frac{16 + 16}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B16%20%2B%2016%7D%7B3%7D%5D)
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
Hence, the Area is:
![A = [\frac{32}{3}]](https://tex.z-dn.net/?f=A%20%3D%20%5B%5Cfrac%7B32%7D%7B3%7D%5D)
Answer:
9 cm
Step-by-step explanation:
V = 1/3 pi r^2 h
V = 1/3 * 3.14 * 5^2 * h
236 = 1/3 * 3.14 * 25 * h
236 = 26.1667 h
236 / 26.1667 = h
9.019 = h
Rounded to the nearest whole number the h is about 9 cm.
Answer:
-1/2
Step-by-step explanation:
If you go to any point on the line, you count down 1 point, and over to the right by 2 points to get back to the line. That is what makes the slope -1/2.
Answer:
0.12
Step-by-step explanation: