In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.
![x^2+(x+5)^2=25^2 \\ x^2+x^2+10x+25=625 \\ 2x^2+10x+25=625 \ \ \ |-625 \\ 2x^2+10x-600=0 \ \ \ |\div 2 \\ x^2+5x-300=0 \\ x^2+20x-15x-300=0 \\ x(x+20)-15(x+20)=0 \\ (x-15)(x+20)=0 \\ x-15=0 \ \lor \ x+20=0 \\ x=15 \ \lor \ x=-20 ](https://tex.z-dn.net/?f=x%5E2%2B%28x%2B5%29%5E2%3D25%5E2%20%5C%5C%0Ax%5E2%2Bx%5E2%2B10x%2B25%3D625%20%5C%5C%0A2x%5E2%2B10x%2B25%3D625%20%5C%20%5C%20%5C%20%7C-625%20%5C%5C%0A2x%5E2%2B10x-600%3D0%20%5C%20%5C%20%5C%20%7C%5Cdiv%202%20%5C%5C%0Ax%5E2%2B5x-300%3D0%20%5C%5C%0Ax%5E2%2B20x-15x-300%3D0%20%5C%5C%0Ax%28x%2B20%29-15%28x%2B20%29%3D0%20%5C%5C%0A%28x-15%29%28x%2B20%29%3D0%20%5C%5C%0Ax-15%3D0%20%5C%20%5Clor%20%5C%20x%2B20%3D0%20%5C%5C%0Ax%3D15%20%5C%20%5Clor%20%5C%20x%3D-20%0A)
The length of a side must be a positive number, so x=15.
The answer is C.
We know that
A exclusion is <span>a value of a variable in a denominator that would make the denominator equal to zero
therefore
the answer is false</span>
Answer:
A
Step-by-step explanation:
(writting only because answer need 20 words)
For this case we have the following function:
y = 9 (3) ^ x
Applying the following transformations we have:
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
y = 9 (3) ^ (x-2)
Vertical translations
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
y = 9 (3) ^ (x-2) - 6
Answer:
2 units to the right
6 units down