Solution:
<u>We know that:</u>
- Given equation: 1/4(x - 2) = 3 - (x + 1/6)
<u>Simplify the distributive property.</u>
- 1/4(x - 2) = 3 - (x + 1/6)
- => x/4 - 2/4 = 3 - x - 1/6
<u>Further simplify both sides.</u>
<u>Subtract 17/6 both sides.</u>
- x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x
- => x/4 - 6/12 - 34/12 = -x
- => x/4 - 40/12 = -x
<u>Subtract x/4 both sides.</u>
- x/4 - x/4 - 40/12 = -x - x/4
- => -40/12 = -5x/4
<u>Use cross multiplication.</u>
<u>Divide -60 both sides.</u>
- -160/-60 = -60x/-60
- => x = 160/60 = 2 40/60 = 2 2/3
![{(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ {(x - 2)}^{2} + {(y - ( - 4))}^{2} = {(5)}^{2} \\ {(x - 2)}^{2} + {(y + 4)}^{2} = 25](https://tex.z-dn.net/?f=%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20%28%20-%204%29%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%285%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%2B%204%29%7D%5E%7B2%7D%20%20%3D%2025)
(h, k) is the point of the circle and since the center and the radius is given, we can the center and the radius in the general formula (the first line I wrote).
Hello!
First you can distribute the 3
4 + 6r + 6s + 3r
Then you combine like terms
4 + 9r + 6s
The answer is 9r + 6s + 4
Hope this helps!