Question 446070: QUESTION: Find the midpoint of the segment with the given endpoints. Then find the distance between the points. Write your answer in simplest form. a) (4,2), (6,10)
b) (-3,5), (4,9)
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! Given two points (x1,y1), (x2,y2),
Midpoint formula: (x,y) of midpoint = ( ,  )
Distance formula: distance = 
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1a. (midpoint)
(x,y) = (, )
(x,y) = ( ,  )
(x,y) = ( ,  )
(x,y) = (5, 6)
Therefore, the midpoint between (4, 2) and (6, 10) is (5, 6).
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1b. (distance)
Factor: 
You can pull out one number for every pair within a square root’s factors. Since there are two 2s, you can pull out a two: 
Therefore, the distance between (4, 2) and (6, 10) is 
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2a. (midpoint)
(x,y) = (, )
(x,y) = ( ,  )
(x,y) = ( ,  )
(x,y) = (, 7)
Therefore, the midpoint between (-3, 5) and (4, 9) is (, 7).
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2b. (distance)
Factor: 
There are no pairs of numbers so you cannot simplify.
Therefore, the distance between (-3, 5) and (4, 9) is .
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