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Question

Find the distance between (2,-2) and (-6,4)

  1. 10 units
  2. 11 units
  3. 14 units
  4. 17 units

The correct answer is: 10 units


    On comparing ordered pair (2,-2),(-6,4) with (x1,y1 ),(x2,y2 ) respectively.
    We nave x1=2; y1=-1; x2=-6; y2=4
    Distance between order pair is square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root
    not stretchy rightwards double arrow square root of left parenthesis negative 6 minus 2 right parenthesis squared plus left parenthesis 4 minus left parenthesis negative 2 right parenthesis right parenthesis squared end root
not stretchy rightwards double arrow square root of left parenthesis negative 8 right parenthesis squared plus left parenthesis 6 right parenthesis squared end root
not stretchy rightwards double arrow square root of 64 plus 36 end root not stretchy rightwards double arrow square root of 100 not stretchy rightwards double arrow square root of 10 cross times 10 end root
    = 10 units

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