student500
student500 student500
  • 22-05-2020
  • Mathematics
contestada

Find the distance between the pair of points. Also, find the midpoint of the line segment joining them.



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Find the distance between the pair of points Also find the midpoint of the line segment joining them class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-05-2020

Answer:

  • distance 10
  • midpoint (-8+2.5√3, 10.5)

Step-by-step explanation:

The distance formula can be used to find the distance:

  d = √((x2 -x1)^2 +(y2 -y1)^2) = ((-8+5√3 -(-8))^2 +(13 -8)^2) = √(75 +25)

  d = 10

The distance between the points is 10.

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The midpoint formula can be used to find the midpoint:

  M = (A +B)/2 = (-8 -8 +5√3, 8 +13)/2

  M = (-8 +2.5√3, 10.5) . . . . the midpoint

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