2x^2 - 5x - 3
x^2 - 5x - 6
(x + 1)(x - 6)
Hope this helps :)
Answer/Step-by-step explanation:
m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)
m<MAL + m<HAL = m<MAH
Which is:
(9x + 1) + (x + 9) = 90°
Solve for x
9x + 1 + x + 9 = 90
Collect like terms
9x + x + 1 + 9 = 90
10x + 10 = 90
Subtract both sides by 10
10x + 10 - 10 = 90 - 10
10x = 80
Divide both sides by 10
x = 8
Find m<MAL
m<MAL = 9x + 1
Plug in the value of x
m<MAL = 9(8) + 1 = 72 + 1 = 73°
Find m<HAL
m<HAL = x + 9
m<HAL = 8 + 9 = 17°
Answer:
Option A. ![10\ units^{2}](https://tex.z-dn.net/?f=10%5C%20units%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the rectangle is equal to
A=LW
where
L is the length of rectangle
W is the width of rectangle
we have
![A(-3,1),B(-2,-1),C(2,1),D(1,3)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CB%28-2%2C-1%29%2CC%282%2C1%29%2CD%281%2C3%29)
Plot the vertices
see the attached figure
L=AD=BC
W=AB=DC
the formula to calculate the distance between two points is equal to
<em>Find the distance AD</em>
![A(-3,1),D(1,3)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CD%281%2C3%29)
substitute in the formula
<em>Find the distance AB</em>
![A(-3,1),B(-2,-1)](https://tex.z-dn.net/?f=A%28-3%2C1%29%2CB%28-2%2C-1%29)
substitute in the formula
Find the area
![A=(2\sqrt{5})*(\sqrt{5})=10\ units^{2}](https://tex.z-dn.net/?f=A%3D%282%5Csqrt%7B5%7D%29%2A%28%5Csqrt%7B5%7D%29%3D10%5C%20units%5E%7B2%7D)
Answer:
72 games won
Step-by-step explanation:
![\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )](https://tex.z-dn.net/?f=%5Cbf%20%20%5Clarge%20%5Crightarrow%20%5C%3A%20%5C%3A%202x%20%5C%3A%20%28%20%5C%3A%203x%20%5C%3A%20%20-%20%20%5C%3A%202y%20%5C%3A%20%20%2B%20%20%5C%3A%204z%20%5C%3A%20%29)
![\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z](https://tex.z-dn.net/?f=%5Cbf%20%20%5Clarge%20%5Crightarrow%20%5C%3A%20%5C%3A6%20%7Bx%7D%5E%7B2%7D%20%20%5C%3A%20%20-%20%20%5C%3A%206y%20%5C%3A%20%20%2B%20%20%5C%3A%208x%20z)
Espero que te sea de ayuda.