amelynn78 amelynn78
  • 25-01-2019
  • Mathematics
contestada

cd has an endpoint at (2, -1) and a midpoint at (8, 3). which measure is closest to the length of cd

Respuesta :

jimrgrant1 jimrgrant1
  • 25-01-2019

Answer:

4[tex]\sqrt{13}[/tex]

Step-by-step explanation:

The length of CD will be twice the distance from the midpoint to the endpoint

To calculate the length use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)

d = 2 × [tex]\sqrt{(8-2)^2+(3+1)^2}[/tex]

  = 2 × [tex]\sqrt{6^2+4^2}[/tex]

  = 2 × [tex]\sqrt{52}[/tex]

  = 2 × [tex]\sqrt{4(13)}[/tex]

  = 2 × 2[tex]\sqrt{13}[/tex] = 4[tex]\sqrt{13}[/tex] ← exact length

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