SOLUTION: A is two-thirds the way from (1,10) to (-8,4) and B is the midpoint of (0,-7) (6,-11).find the distance AB?

Algebra ->  Triangles -> SOLUTION: A is two-thirds the way from (1,10) to (-8,4) and B is the midpoint of (0,-7) (6,-11).find the distance AB?      Log On


   

Question 335573: A is two-thirds the way from (1,10) to (-8,4) and B is the midpoint of (0,-7) (6,-11).find the distance AB?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the coordinates of A.
x coordinate: x=x1%2B%282%2F3%29%28x2-x1%29=1%2B%282%2F3%29%28-8-1%29=1-6=-5
y coordinate: y=y1%2B%282%2F3%29%28y2-y1%29=10%2B%282%2F3%29%284-10%29=10-4=6
A:(-5,6)
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Find the midpoint of (0,-7) and (6,-11)
xm=%28x1%2Bx2%29%2F2=%280%2B6%29%2F2
ym=%28y1%2By2%29%2F2=%28-7-11%29%2F2
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Complete the calculation to find the midpoint.
Then use the distance formula to calculate AB.
AB%5E2=%28-5-xm%29%5E2%2B%286-ym%29%5E2
AB=sqrt%28%28-5-xm%29%5E2%2B%286-ym%29%5E2%29
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