The radius is the square root of 16. So 4.
Answer:
and ![\frac{-2-7\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-7%5Csqrt%7B2%7D%20%7D%7B2%7D)
Step-by-step explanation:
<em>hey there,</em>
<em />
< The way you solve right angle triangle problems are using the Pythagorean theorem. (I hope you have already learned it but if you haven't feel free to ask me.)
Pythagorean theorem states: ![a^2 + b^2 = c^2](https://tex.z-dn.net/?f=a%5E2%20%2B%20b%5E2%20%3D%20c%5E2)
The two sides of the triangle that touch the right angle are (x+5) and (x-3).
Those two values count as "a" and "b". "c" would be 9.
Let's put them into the equation now.
![(x+5)^2 + (x-3)^2 = 9^2](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%20%2B%20%28x-3%29%5E2%20%3D%209%5E2)
Simplify:
![(x^2 + 10x + 25) + (x^2-6x+9) = 81](https://tex.z-dn.net/?f=%28x%5E2%20%2B%2010x%20%2B%2025%29%20%2B%20%28x%5E2-6x%2B9%29%20%3D%2081)
![2x^2 + 4x + 34 = 81](https://tex.z-dn.net/?f=2x%5E2%20%2B%204x%20%2B%2034%20%3D%2081)
![2(x^2+2x+17) = 81\\x^2+2x+17 = \frac{81}{2}](https://tex.z-dn.net/?f=2%28x%5E2%2B2x%2B17%29%20%3D%2081%5C%5Cx%5E2%2B2x%2B17%20%3D%20%5Cfrac%7B81%7D%7B2%7D)
![x^2 +2x+ (17-\frac{81}{2})=0\\ x^2+2x+(\frac{-47}{2}) = 0\\](https://tex.z-dn.net/?f=x%5E2%20%2B2x%2B%20%2817-%5Cfrac%7B81%7D%7B2%7D%29%3D0%5C%5C%20x%5E2%2B2x%2B%28%5Cfrac%7B-47%7D%7B2%7D%29%20%3D%200%5C%5C)
From there, you can solve to x (it might be a little tricky, so sorry if you don't understand these steps).
![2x^2 + 4x - 47 = 0\\\frac{-b ±(\sqrt{b^2-4ac})}{2a}](https://tex.z-dn.net/?f=2x%5E2%20%2B%204x%20-%2047%20%3D%200%5C%5C%5Cfrac%7B-b%20%C2%B1%28%5Csqrt%7Bb%5E2-4ac%7D%29%7D%7B2a%7D)
final answer:
and
>
<u>Hope this helped. sorry for the bad explanation but feel free to ask anything else.</u>
For what ? you need to type it out
Answer:
2
Step-by-step explanation:
For your safety: “Don’t try to answer a question that you are unsure or don’t know how to solve” (we are always active in brainly and we are more than glad to help you)
Step 1. Get two points off the graph
Points: (0, 3) and (-1, 1)
Step 2. Find the slope
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
m = (1 - 3)/(-1 - 0)
m = -2/-1
m = 2/1
m = 2
The slope is 2