Respuesta :

Answer:

10

Step-by-step explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (5, 2)

d = [tex]\sqrt{(5+3)^2+(2+4)^2}[/tex]

   = [tex]\sqrt{8^2+6^2}[/tex]

   = [tex]\sqrt{64+36}[/tex]

   = [tex]\sqrt{100}[/tex] = 10