Answer: 
Step-by-step explanation:
Given : The height of the rectangle = 
The width of the rectangle = 
Formula : Area = height x width
Therefore , the area of triangle in terms of polynomial will be :
![6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3](https://tex.z-dn.net/?f=6k%5E3%5Ctimes%28%202k%5E2%2B4k%2B5%29%5C%5C%5C%5C%3D%206k%5E3%282k%5E2%29%2B6k%5E3%284k%29%2B6k%5E3%285%29%5C%20%5C%20%5B%5Ctext%7BUsing%20Distributive%20property%7D%5D%5C%5C%5C%5C%3D12k%5E%7B3%2B2%7D%2B24k%5E%7B3%2B1%7D%2B30k%5E3%5C%20%5C%20%5B%5Ctext%7BUsing%20exponents%20rule%7D%3A%5C%20a%5En%5Ctimes%20a%5Em%3Da%5E%7Bn%2Bm%7D%5D%5C%5C%5C%5C%3D12k%5E5%2B24k%5E4%2B30k%5E3)
Hence, the area of the entire rectangle =
Answers:
The coordinates of X are (-24,0)
The scale factor is 8/3.
------------------------------------------------------
To find the scale factor, you divide the y coordinates of the points Y and V
-8/(-3) = 8/3
Notice how multiplying the y coordinate of point V gets us to the y coordinate of point Y
-3*(8/3) = -24/3 = -8
Do the same for the x coordinate of point U
-9*(8/3) = -72/3 = -24
which is the x coordinate of point X
The answer is going to be A.
second side = x
first side = 3x - 6
third side = (3x - 6) + 8
The perimeter = 80m and is equal x + (3x - 6) + [(3x - 6) + 8]
x + 3x - 6 + 3x - 6 + 8 = 80
7x - 4 = 80 |+4
7x = 84 |:7
x = 12 m
3x - 6 = 3(12) - 6 = 30 m
(3x - 6) + 8 = 3x + 2 = 3(12) + 2 = 38 m
Answer: 12m, 30m, 38m