Respuesta :

Answer:

[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (5, - 2)

d = [tex]\sqrt{(5+1)^2+(-2+3)^2}[/tex]

  = [tex]\sqrt{6^2+1^2}[/tex]

  = [tex]\sqrt{36+1}[/tex]

  = [tex]\sqrt{37}[/tex] ≈ 6.1 units ( to 1 dec. place )