Let x be a <span>positive number
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![x^2+(x+2)^2=130 \ \ \ \ \ \ [x\ \textgreater \ 0] \\ x^2+x^2+4x+4-130=0 \\ 2x^2+4x-126=0 \\ x^2+2x-63=0 \\ D=b^2-4ac=2^2-4*1*(-63)=4+252=256 \\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{-2б \sqrt{256} }{2*1}= \frac{-2б16 }{2}\\x_1=-9 \ \ \ \ \O\\x_2=7](https://tex.z-dn.net/?f=x%5E2%2B%28x%2B2%29%5E2%3D130%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5Bx%5C%20%5Ctextgreater%20%5C%200%5D%20%5C%5C%20x%5E2%2Bx%5E2%2B4x%2B4-130%3D0%20%5C%5C%202x%5E2%2B4x-126%3D0%20%5C%5C%20x%5E2%2B2x-63%3D0%20%5C%5C%20D%3Db%5E2-4ac%3D2%5E2-4%2A1%2A%28-63%29%3D4%2B252%3D256%20%5C%5C%20x_%7B1%2C2%7D%3D%20%5Cfrac%7B-b%D0%B1%20%5Csqrt%7BD%7D%20%7D%7B2a%7D%3D%20%5Cfrac%7B-2%D0%B1%20%20%5Csqrt%7B256%7D%20%20%7D%7B2%2A1%7D%3D%20%20%5Cfrac%7B-2%D0%B116%20%7D%7B2%7D%5C%5Cx_1%3D-9%20%5C%20%5C%20%5C%20%5C%20%5CO%5C%5Cx_2%3D7)
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Answer: the </span><span>number</span> is 7.
Check:
7² + (7+2)² = 49 + 9² = 49 + 81 = 130
Johnathan works part time on weekends at the movie theater while going to school during the week. His paycheck for this pay period was $225.
When he got up to go to school Monday morning his car would not start. His dad had the car towed to the mechanic and had the car repaired. The towing bill and repair bill totaled $225.
How much did Johnathan have left from his paycheck?
$225 + (-$225) = 0
0 is the answer when you add opposites
The correct answers would be the first and fourth options. You’re welcome!
Answer:
4,410
Step-by-step explanation:
The answer is this because if you look properly at the math problem, it'll tell you exactly what to do.
- Sophia
Answer:
8. y=2x+6
9. y=1/2x-5
Step-by-step explanation:
Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.
