Commenter jdoe said it right: solve for y and leave the rest on the other side.
-x + 3y = 6
3y = 6 + x add x on both sides
3y = x + 6 rearrange to get the x first
y = (x + 6) /3 divide both sides by 3
y = x/3 + 6/3 split the numerator (caution - never split denominators)
y = x/3 + 2 simplify 6/3
Thus the line in slope intercept form of y = mx + b is y = ![y = \frac{1}{3} x + 2](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%202%20)
Since there is a 4 on the outside of the radical and we're taking a cube root, you can work backwards and do 4^3 = 64
Letter D
Answer:
B. 24.3°
Step-by-step explanation:
Apply the sine rule to solve for x
Thus:
![\frac{sin(x)}{8} = \frac{sin(112)}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28x%29%7D%7B8%7D%20%3D%20%5Cfrac%7Bsin%28112%29%7D%7B18%7D%20)
![\frac{sin(x)}{8} = \frac{sin(112)}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28x%29%7D%7B8%7D%20%3D%20%5Cfrac%7Bsin%28112%29%7D%7B18%7D%20)
Multiply both sides by 8
![sin(x)= \frac{sin(112)}{18}*8](https://tex.z-dn.net/?f=%20sin%28x%29%3D%20%5Cfrac%7Bsin%28112%29%7D%7B18%7D%2A8%20)
![sin(x) = 0.4121](https://tex.z-dn.net/?f=%20sin%28x%29%20%3D%200.4121%20)
![x = sin^{-1}(0.4121}](https://tex.z-dn.net/?f=%20x%20%3D%20sin%5E%7B-1%7D%280.4121%7D%20)
x = 24.3° (nearest tenth)