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Find the distance between the two points in simplest radical form. (-1,−1) and (3,-6)

Sagot :

nicks1324

Answer:

15

Step-by-step explanation:

Answer:

[tex]\sqrt{41}[/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 ) = (- 1, - 1 ) and (x₂, y₂ ) = (3, - 6 )

d = [tex]\sqrt{(3-(-1))^2+(-6-(-1))^2}[/tex]

  = [tex]\sqrt{(3+1)^2+(-6+1)^2}[/tex]

  = [tex]\sqrt{4^2+(-5)^2}[/tex]

  = [tex]\sqrt{16+25}[/tex]

  = [tex]\sqrt{41}[/tex]

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