SOLUTION: How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9) Find the other endpoint of a line segment with given midpoint and one endpoint endpoi

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Question 256652: How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9)

Find the other endpoint of a line segment with given midpoint and one endpoint endpoint- (0,0) midpoint- (4, -3)
find the distance between the points (-3, -7) and (-4, 15)

Thank you

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would I find the midpoint of the lone segment having these endpoints (8,1) and (2,9)
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Let the midpoint be (x,y)
x is the average of 8 and 2 = (8+2)/2 = 5
y is the average of 1 and 9 = (1+9)/2 = 5
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midpoint is (5,5)
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Find the other endpoint of a line segment with given midpoint and one endpoint endpoint- (0,0) midpoint- (4, -3)
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Let the other endpoint be (x,y)
(0+x)/2 = 4 so x = 8
(0+y)/2 = -3 so y = -6
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Other endpoint is (8,-6)
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find the distance between the points (-3, -7) and (-4, 15)
d = sqrt(change in x)^2 + change in y)^2
d = sqrt(1^2 + 22^2)
d = sqrt(1 + 484)
d = 22.0227..
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Cheers,
Stan H.