Solution.
L = 4w --------<span>The length of a rectangle is four times its width.
</span>2w + 2L ≤ 130 ------- <span>the perimeter is at most 130 centimeters.
</span>Now, if substitute the first equation into the second inequality you will get
2w + 2 • (4w) ≤ 130.
Therefore, the inequality model in C is correct.
Bonus.
If you solve the inequality you will have a final answer w ≤ 13. The greatest value being 13.
Hope it helps,
6x-y+33=0
Step-by-step explanation:
m=y2-y1/x1-x2
m=1-(-3)/18-(-6)
m=4/24m=6
m=y-y1/x-x1
6=y-y1/x-x1
6x-y+33=0
The point-slope form:

The formula of a slope:

We have the points A(-2, 6) and B(2, -2). Substitute:

Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes
