RoyalDancer
RoyalDancer RoyalDancer
  • 13-12-2017
  • Mathematics
contestada

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

A) 2
B) 10
C) 4
D) 10

Respuesta :

budwilkins
budwilkins budwilkins
  • 14-12-2017
Distance (d) between 2 points on a graph, is derived from the Pythagorean Theorem, because the d is the hypotenuse of a triangle formed by the distance in x plane and y plane.
[tex]d = \sqrt{{(x2 - x1)}^{2} + {(y2 - y1)}^{2}} \\ d = \sqrt{{(4 - - 4)}^{2} + {(2 - - 4)}^{2} } \\ d = \sqrt{{(4 + 4)}^{2} + {(2 + 4)}^{2} } [/tex]
[tex]d= \sqrt{{8}^{2} + {6}^{2}} = \sqrt{64 + 36} = \\ d = \sqrt{100} = 10[/tex]
10 is the correct answer
Why do both B) and D) have 10??

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