Answer:
Step-by-step explanation: 5 - 1 = 4
Answer:
![Length= 8m\\\\Width=6m](https://tex.z-dn.net/?f=Length%3D%208m%5C%5C%5C%5CWidth%3D6m)
Step-by-step explanation:
Let the length of the rectangle be 'L' meter
Width of the rectangle= (L-2 ) meter
Area of the rectangle= ![48 m^2](https://tex.z-dn.net/?f=48%20m%5E2)
Area of a rectangle = length * width
![48=L*(L-2)\\\\48=L^2-2L\\\\L^2-2L-48=0](https://tex.z-dn.net/?f=48%3DL%2A%28L-2%29%5C%5C%5C%5C48%3DL%5E2-2L%5C%5C%5C%5CL%5E2-2L-48%3D0)
Making the factors of the equation:
![L^2+6L-8L-48=0\\](https://tex.z-dn.net/?f=L%5E2%2B6L-8L-48%3D0%5C%5C)
Taking common form the equation:
![L(L+6)-8(L+6)=0\\\\(L+6)(L-8)=0\\](https://tex.z-dn.net/?f=L%28L%2B6%29-8%28L%2B6%29%3D0%5C%5C%5C%5C%28L%2B6%29%28L-8%29%3D0%5C%5C)
![L+6=0\\\\L=-6](https://tex.z-dn.net/?f=L%2B6%3D0%5C%5C%5C%5CL%3D-6)
OR
![L-8=0\\\\L=8](https://tex.z-dn.net/?f=L-8%3D0%5C%5C%5C%5CL%3D8)
The length of the rectangle cannot be negative, so ![Length(L)=8 m](https://tex.z-dn.net/?f=Length%28L%29%3D8%20m)
![Width=L-2= 8-2= 6 m](https://tex.z-dn.net/?f=Width%3DL-2%3D%208-2%3D%206%20m)
![Length= 8m\\\\Width=6m](https://tex.z-dn.net/?f=Length%3D%208m%5C%5C%5C%5CWidth%3D6m)
Answer:
x = 0
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Answer:
8x²+5x+1
Step-by-step explanation:
3x²-5x+12
5x²+ x - 11
________
3x²+5x²= 8x²
}
5x+x =5x
}
12-11 =1
=
8x²+5x+1