Answer:
12 ft
Step-by-step explanation:
You have a right triangle with the hypotenuse = 13 and one leg = 5
Let x = distance above the ground that the ladder touches the wall
Now use the Pythagorean theorem
![x^{2} + 5^{2} = 13^{2} \\x^{2} + 25 = 169\\x^{2} = 144\\x = \sqrt{144} = 12](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B%205%5E%7B2%7D%20%3D%2013%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20%20%2B%2025%20%3D%20169%5C%5Cx%5E%7B2%7D%20%20%3D%20144%5C%5Cx%20%3D%20%5Csqrt%7B144%7D%20%3D%2012)
It looks like none of the choices are correct, because the answer is 12 ft.
By the way, it is impossible for the ladder to reach up the wall a distance longer the the length of the ladder. Think about it. OK?
To find the inverse, interchange the variables and solve for y
G^-1 (x) = square root x - 1, - square root x-1
Answer: ![-4 * (n+3) \geq 28](https://tex.z-dn.net/?f=-4%20%2A%20%28n%2B3%29%20%5Cgeq%2028)
Step-by-step explanation:
Negative four -> ![-4](https://tex.z-dn.net/?f=-4)
Times the sum of a number and 3 -> ![-4 * (n + 3)](https://tex.z-dn.net/?f=-4%20%2A%20%28n%20%2B%203%29)
Is at least 28 -> ![-4 * (n+3) \geq 28](https://tex.z-dn.net/?f=-4%20%2A%20%28n%2B3%29%20%5Cgeq%2028)
Answer:
C
Step-by-step explanation:
Because the ratio between 128 and -32 is the same as the ratio between -32 and 8