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| Question 341558:  1) Use the Pythagorean Theorem to find the distance between X(7,11) and Y(-1,5)..Could you please show me your solution because I can't really understand this lesson!
 2)Find the coordinates of the midpoint of a segment X(-4,3) and Y(-1,5)
 3)Find the coordinates of A if B(0,5.5) is the midpoint of segment AC and C has coordinates (-3,6)
 4) Find the coordinates of the missing endpoint given that S is the midpoint of segment RT: T(-4,3), S(-1,5)
 Thank You very much=)
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! 1) Use the Pythagorean Theorem to find the distance between X(7,11) and Y(-1,5)..
 Could you please show me your solution because I can't really understand this lesson!
 ---
 d^2 = (change in x)^2 + (change in y)^2
 d^2 = [(7--1)^2 + (11-5)^2]
 d^2 = [64+36]
 d^2 = 100
 distance = 10
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 2)Find the coordinates of the midpoint of a segment X(-4,3) and Y(-1,5)
 x = (-4+-1)/2 = -5/2
 y = (3+5)/2 = 4
 midpoint::: (-5/2,4)
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 3)Find the coordinates of A if B(0,5.5) is the midpoint of segment AC and C has coordinates (-3,6)
 Let the coordinate of A be (x,y)
 (x+-3)/2 = 0
 x-3 = 0
 x = 3
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 (y+6)/2 = 5.5
 y+6 = 11
 y = 5
 Coordinates of A:: (3,5)
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 4) Find the coordinates of the missing endpoint given that S is the midpoint of segment RT: T(-4,3), S(-1,5)
 Let the coordinates of R are (x,y)
 (x+-4)/2 = -1
 x-4 = -2
 x = 2
 ----
 (y+3)/2 = 5
 y+3 = 10
 y = 7
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 Endpoint: (2,7)
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 Cheers,
 Stan H.
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