Answer:
I wanna say 13 1/2 is the answer
Step-by-step explanation:
The answer is:
7 miles
5+2=7
You can use the Pythagorean theorem to answer this. The diagonal is the hypotenuse of the right triangle that is formed. So, your equation will look like (h is height):
![34^2+h^2 = 39^2](https://tex.z-dn.net/?f=34%5E2%2Bh%5E2%20%3D%2039%5E2)
We have to solve for h:
![h^2 = 39^2-34^2](https://tex.z-dn.net/?f=h%5E2%20%3D%2039%5E2-34%5E2)
![h = \sqrt{39^2-34^2}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Csqrt%7B39%5E2-34%5E2%7D%20)
You can plug it into a calculator, and you get approximately 19.105. The answer closest to that is
B. So, that's your answer! Hope it helps. If anything doesn't make sense, hmu!
Answer:
21-9 = 12
Step-by-step explanation:
I don't know if this is the correct sentence you are looking for though but i hope it helps
The partial fraction decomposition is ![\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D%20%3D%20%5Cfrac%7B5%7D%7Bx%20%2B%208%7D%20%2B%20%5Cfrac%7B3%7D%7Bx%20-%201%7D)
<h3>How to determine the decomposition?</h3>
The fraction is given as:
![\frac{8x + 19}{(x + 8)(x - 1)}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D)
Split the fraction as follows:
![\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D%20%3D%20%5Cfrac%7BA%7D%7Bx%20%2B%208%7D%20%2B%20%5Cfrac%7BB%7D%7Bx%20-%201%7D)
Take the LCM
![\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D%20%3D%20%5Cfrac%7BAx%20-A%20%2B%20Bx%20%2B%208B%7D%7B%28x%20%2B%208%29%28x%20-1%29%7D)
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
![\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D%20%3D%20%5Cfrac%7B5%7D%7Bx%20%2B%208%7D%20%2B%20%5Cfrac%7B3%7D%7Bx%20-%201%7D)
Hence, the partial fraction decomposition is ![\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%20%2B%2019%7D%7B%28x%20%2B%208%29%28x%20-%201%29%7D%20%3D%20%5Cfrac%7B5%7D%7Bx%20%2B%208%7D%20%2B%20%5Cfrac%7B3%7D%7Bx%20-%201%7D)
Read more about partial fraction at:
brainly.com/question/12783868
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