Respuesta :

Answer:

XY ≈ 14.87 units

Step-by-step explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = X(- 6, 3) and (x₂, y₂ ) = Y(8, - 2)

d = [tex]\sqrt{(8+6)^2+(-2-3)^2}[/tex]

   = [tex]\sqrt{14^2+(-5)^2}[/tex]

   = [tex]\sqrt{196+25}[/tex]

   = [tex]\sqrt{221}[/tex]

   ≈ 14.87 ( to 2 dec. places )