rikay1120
rikay1120 rikay1120
  • 02-05-2021
  • Mathematics
contestada

Find the distance between the two points.​

Find the distance between the two points class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2021

Answer:

[tex]\sqrt{61}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2,- 4) and (x₂, y₂ ) = (4, 1)

d = [tex]\sqrt{(4-(-2))^2+(1-(-4))^2}[/tex]

   = [tex]\sqrt{(4+2)^2+(1+4)^2}[/tex]

    = [tex]\sqrt{6^2+5^2}[/tex]

    = [tex]\sqrt{36+25}[/tex]

    = [tex]\sqrt{61}[/tex]

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