5 The distance between point A(5,-3) and B(13,m) in 10 units. Calculate the value of m.
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Answer:
m= -9 or 3
Step-by-step explanation:
√(5-13)²+((-3)-m)²=10
8²+(-(3+m))²=100
64+9+m²+6m=100
m²+6m+73-100=0
m²+6m-27=0
m²+9m-3m-27=0
m(m+9)-3(m+9)=0
(m+9)(m-3)=0
m= -9 or 3
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