Respuesta :

Answer:

see explanation

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, -4) and (x₂, y₂ ) = (3, - 1)

d = [tex]\sqrt{(3-0)^2+(-1+4)^2}[/tex]

  = [tex]\sqrt{3^2+ 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] ≈ 4.24 ( to 2 dec. places )