Respuesta :

Answer:

AB ≈ 8.60

Step-by-step explanation:

Calculate AB using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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

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

     = [tex]\sqrt{5^2+(-7)^2}[/tex]

    = [tex]\sqrt{25+49}[/tex]

    = [tex]\sqrt{74}[/tex] ≈ 8.60 ( to the nearest tenth )