hmmm let's find the distance between B and C first off.
![~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5](https://tex.z-dn.net/?f=~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20B%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B-2%7D%29%5Cqquad%20C%28%5Cstackrel%7Bx_2%7D%7B-1%7D~%2C~%5Cstackrel%7By_2%7D%7B2%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20BC%3D%5Csqrt%7B%28~~-1%20-%202~~%29%5E2%20%2B%20%28~~2%20-%20%28-2%29~~%29%5E2%7D%20%5Cimplies%20BC%3D%5Csqrt%7B%28-1%20-2%29%5E2%20%2B%20%282%20%2B2%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20BC%3D%5Csqrt%7B%28%20-3%20%29%5E2%20%2B%20%28%204%20%29%5E2%7D%20%5Cimplies%20BC%3D%5Csqrt%7B%209%20%2B%2016%20%7D%20%5Cimplies%20BC%3D%5Csqrt%7B%2025%20%7D%5Cimplies%20BC%3D5)
hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.
This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation
17=37+4f
17=37+4(-5)
17=37-20
17=17
great job!!
The coordinates of the other endpoint of the diameter of the circle are (-2,-3)
Answer:
91/4 simplified = 22 3/4
work:
subtract find answer then simplify :)
Hope this helps