Answer:
I'm pretty sure it's the bottom left
Step-by-step explanation:
Step-by-step explanation:
2- 7x + 34 - 6-(766)
2-7x + 34 - 6 - 766
2 - 7x - 738
-7x - 736
-(7x + 736
Answer:
(x+2)(2x+2) = 130
x=6.58m
Step-by-step explanation:
The shape of the whole figure is a triangle. Hence the area of the whole figure is expressed as:
Area = Length * Width
Given
Length = 2 + x + x = 2+2x
Width = 2 + x
Area = 130m²
Substitute the resultng values into the formula;
(2+2x)(2+x)= 130
(x+2)(2x+2) = 130
Expand the bracket:
![2x^2+2x+4x+4=130\\2x^2+6x+4=130\\](https://tex.z-dn.net/?f=2x%5E2%2B2x%2B4x%2B4%3D130%5C%5C2x%5E2%2B6x%2B4%3D130%5C%5C)
Divide through by 2
![x^2+3x+2=65\\x^2+3x=65-2\\x^2+3x = 63](https://tex.z-dn.net/?f=x%5E2%2B3x%2B2%3D65%5C%5Cx%5E2%2B3x%3D65-2%5C%5Cx%5E2%2B3x%20%3D%2063)
Complete the square by adding the square of the half of the coefficient of x to both sides:
![(x^2+3x+(\frac{3}{2} )^2)=63+(\frac{3}{2} )^2](https://tex.z-dn.net/?f=%28x%5E2%2B3x%2B%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%29%3D63%2B%28%5Cfrac%7B3%7D%7B2%7D%20%29%5E2)
![(x+\frac{3}{2} )^2=63 + \frac{9}{4} \\(x+\frac{3}{2} )^2=\frac{252+9}{4} \\(x+\frac{3}{2} )^2=\frac{261}{4}\\(x+\frac{3}{2} )^2=65.25](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%3D63%20%2B%20%5Cfrac%7B9%7D%7B4%7D%20%5C%5C%28x%2B%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%3D%5Cfrac%7B252%2B9%7D%7B4%7D%20%5C%5C%28x%2B%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%3D%5Cfrac%7B261%7D%7B4%7D%5C%5C%28x%2B%5Cfrac%7B3%7D%7B2%7D%20%29%5E2%3D65.25)
Take the square root of both sides
![\sqrt{(x+(\frac{3}{2} ))^2} = \sqrt{65.25}\\x+\frac{3}{2}= 8.078\\x=8.078-1.5\\x=6.58m](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B%28%5Cfrac%7B3%7D%7B2%7D%20%29%29%5E2%7D%20%3D%20%5Csqrt%7B65.25%7D%5C%5Cx%2B%5Cfrac%7B3%7D%7B2%7D%3D%208.078%5C%5Cx%3D8.078-1.5%5C%5Cx%3D6.58m)
Hence the value of x is 6.58m