Answer:
Mean = 20
Step-by-step explanation:
Step-by-step explanation:
![{x}^{2} - 14x - 25 {y}^{2} + 100y = 76](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%20-%2025%20%7By%7D%5E%7B2%7D%20%20%2B%20100y%20%3D%2076)
Factor by grouping,
![( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%29%20%20%20-%20%2825%20%7By%7D%5E%7B2%7D%20%20-%20100y%29%20%3D%2076)
Complete the square, with the x variables,
![( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%2B%2049%29%20%20-%20%2825%20%7By%7D%5E%7B2%7D%20%20-%20100y%29%20%3D%20125)
Factor out 25 for the y variables
![( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%2B%2049%29%20-%2025%28%20%7By%7D%5E%7B2%7D%20%20-%204y%29%20%3D%20125)
Complete the square
![( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20-%2014x%20%2B%2049%29%20-%2025%28%20%7By%7D%5E%7B2%7D%20%20-%204y%20%2B%204%29%20%3D%2025)
Simplify the perfect square trinomial
![(x - 7) {}^{2} - 25(y - 2) {}^{2} = 25](https://tex.z-dn.net/?f=%28x%20-%207%29%20%7B%7D%5E%7B2%7D%20%20-%2025%28y%20-%202%29%20%7B%7D%5E%7B2%7D%20%20%3D%2025)
Make the right side be 1 so divide everything by 25.
![\frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%20-%207%29%20%7B%7D%5E%7B2%7D%20%7D%7B25%7D%20%20-%20%20%28y%20-%202%29%20%7B%7D%5E%7B2%7D%20%20%3D%201)
Here our center is (7,2).
To solve this problem you must apply the proccedure shown below:
1. You have the the<span> 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
3</span>9 degrees 45'=39.75°
<span>
Sin(39.75°)=d/13.5
d=13.5x</span>Sin(39.75°)
<span> d=8.63
</span>
Answer:
5x+3
Step-by-step explanation:
![(f + g)(x) = f(x) + g(x) \\ =2x - 6 + 3x + 9 \\ = 5x + 3](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20%5C%5C%20%20%3D2x%20-%206%20%2B%203x%20%2B%209%20%5C%5C%20%20%3D%205x%20%2B%203)
consider marking as Brainliest if this helped
1.= 1
2.= -15
3.= -18
4.= -1
5. = -11
6. = 22