If (a,b) is the midpoint of the line segment joining A(10,-6) and B(k,4) and A-2B=18,find the value of k and the distance AB.
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(a,b) is the midpoint ;
a = (10+k)/2
b = (-6+4)/2
b = -1
a-2b = 18
(10+k)/2 - (2×-1) = 18
10+k = 16×2
k = 32-10
k = 12
__________
a = (10+k)/2
b = (-6+4)/2
b = -1
a-2b = 18
(10+k)/2 - (2×-1) = 18
10+k = 16×2
k = 32-10
k = 12
__________
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