Respuesta :

Answer : B

the distance between the points (4,3) and (2,-1)

We apply distance formula

[tex]d^2= (x_2-x1)^2 + (y_2-y_1)^2[/tex]

(x1,y1) is (4,3)

(x2,y2) is (2,1)

[tex]d^2= (2-4)^2 + (-1-3)^2[/tex]

[tex]d^2= (-2)^2 + (-4)^2[/tex]

d^2 = 4+16 = 20

Take square root on both sides

So  [tex]d=2\sqrt{5}[/tex]

the distance between the points (4,3) and (2,-1) is 2sqrt(5)