
Carol H. answered 08/10/18
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Experienced Mathematics Tutor w/ Master's Degree in Math
(-8,5) and (-2,7)
a) d = √[(x2 - x1)2 + (y2 - y1)2]
d = √[(-2 + 8)2 + (7 - 5)2]
d = √[(6)2 + (2)2]
d = √(36 + 4) = √40
d = 2√10 r = √10
b) xm = x1 + x2 ym = y1 + y2
2 2
xm = -8 - 2 ym = 5 + 7
2 2
xm = -5 ym = 6
C(-5,6) or C(h,k)
c) (x - h)2 + (y - k)2 = r2
(x + 5)2 + (y - 6)2 = 10