2020kmatthes
2020kmatthes 2020kmatthes
  • 12-03-2019
  • Mathematics
contestada

Find the distance between the points given. (0,5) and (-5,0)

Respuesta :

jimrgrant1 jimrgrant1
  • 12-03-2019

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = [tex]\sqrt{(-5-0)^2+(0-5)^2}[/tex]

  = [tex]\sqrt{(-5)^2+(-5)^2}[/tex]

  = [tex]\sqrt{25+25}[/tex] = [tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex] ← exact value

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