Answer:
x = 6
y = 8
Explanation and graph is given in picture
I hope it helps.
The equation of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:
(x-5)^2 + (y-(-4))^2 = r^2
(x-5)^2 + (y+4)^2 = r^2
So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):
r = [(5-(-3))^2+((-4)-2)^2]^1/2
r = [8^2 + (-6)^2]^1/2
r = [64 + 36]^1/2
r = 100^1/2
r= 10
The final equation is:
(x-5)^2 + (y+4)^2 = 10^2
1) circumference= 3.14 x 12
C= 37.68
Step 1- Subtract 5 from both sides
3m = 8 - 5
Step 2- Simplify 8 - 5 to 3
3m = 3
Step 3- Divide both sides by 3
Answer: m = 1
