Respuesta :

Answer:

AB ≈ 9.85 units

Step-by-step explanation:

Calculate AB using the distance formula

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

with (x₁, y₁ ) = A(1, 7) and (x₂, y₂ ) = B(10, 3)

AB = [tex]\sqrt{(10-1)^2+(3-7)^2}[/tex]

     = [tex]\sqrt{9^2+(-4)^2}[/tex]

     = [tex]\sqrt{81+16}[/tex]

     = [tex]\sqrt{97}[/tex] ≈ 9.85 units ( to 3 significant figures )