Question

find the positive value for m for which the distance between two points A(5,-3) and B(13,m) is 10 units

Answer 1

100=(13-5)2+(m+3)2

100=64+m2 +9+6m

100-73=m2+6m

m2+6m-27=0

m2-9m+3m-27=0

m(m-9)+3(m-9)

m=9

Answer 2

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