So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x: ![x^2+x+8x+8=0](https://tex.z-dn.net/?f=%20x%5E2%2Bx%2B8x%2B8%3D0%20)
Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside: ![x(x+1)+8(x+1)=0](https://tex.z-dn.net/?f=%20x%28x%2B1%29%2B8%28x%2B1%29%3D0%20)
Now you can rewrite the equation as ![(x+8)(x+1)=0](https://tex.z-dn.net/?f=%20%28x%2B8%29%28x%2B1%29%3D0%20)
Now using zero product property, solve for x:
![x+8=0\\ x=-8\\ \\ x+1=0\\ x=-1](https://tex.z-dn.net/?f=%20x%2B8%3D0%5C%5C%20x%3D-8%5C%5C%20%5C%5C%20x%2B1%3D0%5C%5C%20x%3D-1%20)
<u>In short, the solutions are {-1,-8}, or C.</u>
Answer:
Step-by-step explanation:
9.
Sum of angles in triangle:
90 + 3x + 11 + 25 = 180
Add like terms:
126 + 3x = 180
Subtract 126 on both sides:
3x = 54
Divide:
x = 18
11.
Supplementary angles:
45 + 3x = 180
Subtract 45:
3x = 135
Divide 3:
x = 45
Answer:
1242.81
Step-by-step explanation: