The longest side
Think about it. The widest angle would leave a resulting long side to reach the ends of the angle
If you look at the picture, the side across from the widest angle has the longest length
Answer: f(x) = -3x + 4
Step-by-step explanation:
The function is represented by
9x + 3y= 12
This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes
9x + 3y= 12
Subtracting 9x from both sides,
9x -9x + 3y = 12 - 9x
3y = 12-9x
Dividing the lefthand side and right hand side of the equation by 3, it becomes
3y/3 = (12-9x)/3
y= -3x + 4
using function notation,
y = f(x) = -3x + 4
Answer: 
Step-by-step explanation:
<u>Given expression</u>
![\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cfrac%7B12%5B30%20-%20%289%2B4%5E2%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify the exponents</u>
![\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%20%289%2B16%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
Simplify values in the parenthesis
![\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%2025%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify absolute values (all positive)</u>
![\large\boxed{=\frac{12[5]}{10-6 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B10-6%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{4 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B4%20%7D%20%7D)
<u>Simplify by division</u>
![\large\boxed{=3~[5]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D3~%5B5%5D%7D)
<u>Simplify by multiplication</u>
Hope this helps!! :)
Please let me know if you have any questions
