Find the value of m, if the distance
between the points X( -2, 12] and y(m,-4)
is 8 units..
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Answer:
m=-2
Step-by-step explanation:
x(-2,-12) y(m,-4)
XY=√(-2-m)^2+(-12-(-4))^2
8=√(m-2)^2+(-8)^2
squaring on both the sides
8^2=(m-2)^2+(-8)^2
64=(m-2)^2+64
(m-2)^2=0
(a-b)^2=a^2+b^2-2ab
m^2+2^2-4m=0
m^2+2m+2m+4=0
m(m+2)+2(m+2)=0
(m+2)(m+2)=0
m=-2
therefore m=-2
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