Find the distance between the points (-1,-5) and (-10,7).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

___ Units

Respuesta :

Answer:

15 units

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, - 5) and (x₂, y₂ ) = (- 10, 7)

d = [tex]\sqrt{(-10+1)^2+(7+5)^2}[/tex]

   = [tex]\sqrt{(-9)^2+12^2}[/tex]

    = [tex]\sqrt{81+144}[/tex]

    = [tex]\sqrt{225}[/tex]

    = 15 units

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