Answer:
9x² + 28x - 32
Step-by-step explanation:
Given
(9x - 8)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
9x(x + 4) - 8(x + 4) ← distribute both parenthesis
= 9x² + 36x - 8x - 32 ← collect like terms
= 9x² + 28x - 32
Answer:
X = 4
Step-by-step explanation:
That traingle is an isosceles triangle. You know this because the base angles, 45 and 45 are the same. Another characteristic of an iscosceles traingle is that the base sides ( in this case 4 and X ) are always the same
Answer:
-3
Step-by-step explanation:
9×(12+(-5)÷(-8-13)
9×7÷(-8-13)
63÷-21
=-3
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
