tynieshaboykin tynieshaboykin
  • 22-03-2020
  • Mathematics
contestada

PK has endpoints at P(3,-2) and K(4,-8). How long is PK?

Respuesta :

jimrgrant1 jimrgrant1
  • 22-03-2020

Answer:

≈ 6.08 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(3, - 2) and (x₂, y₂ ) = K(4, - 8)

PK = [tex]\sqrt{(4-3)^2+(-8+2)^2}[/tex]

     = [tex]\sqrt{1^2+(-6)^2}[/tex]

     = [tex]\sqrt{1+36}[/tex]

     = [tex]\sqrt{37}[/tex] ≈ 6.08 ( to 2 dec. places )

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