Answer:
![\frac{2(c+2)}{c(c-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%28c%2B2%29%7D%7Bc%28c-2%29%7D)
Step-by-step explanation:
![\frac{c^{2}-4 }{6c^{4}+15c^{3}}=\frac{(c-2)(c+2)}{c(6c^{3}+15c^{2}) }](https://tex.z-dn.net/?f=%5Cfrac%7Bc%5E%7B2%7D-4%20%7D%7B6c%5E%7B4%7D%2B15c%5E%7B3%7D%7D%3D%5Cfrac%7B%28c-2%29%28c%2B2%29%7D%7Bc%286c%5E%7B3%7D%2B15c%5E%7B2%7D%29%20%7D)
Identity used:
![a^{2}-b^{2}=(a-b)(a+b)](https://tex.z-dn.net/?f=a%5E%7B2%7D-b%5E%7B2%7D%3D%28a-b%29%28a%2Bb%29)
![\frac{c^{2}-4c+4}{12c^{3}+30c^{2}}=\frac{(c-2)^{2}}{2(6c^{3}+15c^{2}) }](https://tex.z-dn.net/?f=%5Cfrac%7Bc%5E%7B2%7D-4c%2B4%7D%7B12c%5E%7B3%7D%2B30c%5E%7B2%7D%7D%3D%5Cfrac%7B%28c-2%29%5E%7B2%7D%7D%7B2%286c%5E%7B3%7D%2B15c%5E%7B2%7D%29%20%7D)
Now let us divide the modified expressions:
÷ ![\frac{(c-2)^2}{2(6c^{3}+15c^{2}) }](https://tex.z-dn.net/?f=%5Cfrac%7B%28c-2%29%5E2%7D%7B2%286c%5E%7B3%7D%2B15c%5E%7B2%7D%29%20%7D)
we get:
![\frac{2(c+2)}{c(c-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%28c%2B2%29%7D%7Bc%28c-2%29%7D)
Answer:
$13.95
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
calculator.
Answer:
NR = 12
Step-by-step explanation:
Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:
![\frac{40}{8} = \frac{60}{2x - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B40%7D%7B8%7D%20%3D%20%5Cfrac%7B60%7D%7B2x%20-%202%7D%20)
![5 = \frac{60}{2x - 2}](https://tex.z-dn.net/?f=%205%20%3D%20%5Cfrac%7B60%7D%7B2x%20-%202%7D%20)
Cross multiply
![5(2x - 2) = 60](https://tex.z-dn.net/?f=%205%282x%20-%202%29%20%3D%2060%20)
![10x - 10 = 60](https://tex.z-dn.net/?f=%2010x%20-%2010%20%3D%2060%20)
(addition property of equality)
![10x = 70](https://tex.z-dn.net/?f=%2010x%20%3D%2070%20)
Divide both sides by 10
x = 7
✔️NR = 2x - 2
Plug in the value of x
NR = 2(7) - 2 = 14 - 2
NR = 12
Answer:
C the temperature and the number of votes a candidate for the school president receives.