Respuesta :

Answer:

AB = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 3, - 4) and (x₂, y₂ ) = B(- 1, - 6)

AB = [tex]\sqrt{(-1+3)^2+(-6+4)^2}[/tex]

     = [tex]\sqrt{2^2+(-2)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ≈ 2.83 ( to 2 dec. places )

Answer:

Step-by-step explanation:

AB= √((-6+4)²+(-1+3)²)² = √(4+4)= √8 =2√2