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distance between these points
X (-3, -4 ) Y (5, 5)

Sagot :

Answer:

12.0

Step-by-step explanation:

  • The distance betwen the two points is the slope/gradient of that line.
  • Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]
  • x = a, y = b
  • x = 5 - (-4) = 5 + 4 = 9
  • y = 5 - (-3) = 5 + 3 = 8

        [tex]c^{2} = 8^{2} + 9^{2}[/tex]

            = 64 + 81

            = 145

     [tex]\sqrt{c^{2} } = \sqrt{145}[/tex]

Therefore,

          c = 12.0 (3 s.f.)

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