Respuesta :

Answer:

≈ 10.6 units

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)

PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]

      = [tex]\sqrt{(-8)^2+7^2}[/tex]

      = [tex]\sqrt{64+49}[/tex]

      = [tex]\sqrt{113}[/tex] ≈ 10.6 ( to 1 dec. place )