Respuesta :

Answer:

[tex]\sqrt{97}[/tex] 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 ) = A(- 5, 3) and (x₂, y₂ ) = B(4, - 1)

d= [tex]\sqrt{(4+5)^2+(-1-3)^2}[/tex]

  = [tex]\sqrt{9^2+(-4)^2}[/tex]

   = [tex]\sqrt{81+16}[/tex]

    = [tex]\sqrt{97}[/tex] ≈ 9.85 ( to 2 dec. places )