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)
2, 4, 8, 12 are all common denominators because they can become the same denominator
Answer:
15x -4 = 11x and 4x+5=9x
9 timees11 = 20x
Step-by-step explanation:
20x for first anwer
thank me later emmitheblackbobcat
Answer:
Option c. integers from 1 to 10 inclusive.
Step-by-step explanation:
The given sets are A = { 1, 3, 5, 7, 9 }
B = { 2, 4, 6, 8, 10 }
C = { 1, 5, 6, 7, 9 }
We have to determine A ∪ B
A ∪ B = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
Therefore, A ∪ B is the set of all from 1 to 10 inclusive.
option C will be the answer.