Respuesta :

Answer:

Step-by-step explanation:

Hi there!

The given points are: A(5,8) and B (-3,4).

Formula: [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

Insert the values;

Distance (d) = [tex]\sqrt{(-3-5)^{2}+ (4-8)^{2} }[/tex]

                d = [tex]\sqrt{(-8)^{2}+(-4)^{2} }[/tex]

                 d = [tex]\sqrt{64+16}[/tex]

                    = 4[tex]\sqrt{5}[/tex]

Therefore the distance between AB is 4[tex]\sqrt{5}[/tex].

Hope it helps!