princejohnsonkiara princejohnsonkiara
  • 26-02-2020
  • Mathematics
contestada

What is the distance between (6,2) and (-3,-2)

Respuesta :

jimrgrant1 jimrgrant1
  • 26-02-2020

Answer:

[tex]\sqrt{97}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (6, 2) and (x₂, y₂ ) = (- 3, - 2)

d = [tex]\sqrt{(-3-6)^2+(-2-2)^2}[/tex]

   = [tex]\sqrt{(-9)^2+(-4)^2}[/tex]

   = [tex]\sqrt{81+16}[/tex]

   = [tex]\sqrt{97}[/tex] ≈ 9.8 ( to 1 dec. place )

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