Respuesta :
we are given two points as
(157, -34) and (-238, 21)
Let's assume two points as
[tex] (x_1,y_1)=(157,-34) [/tex]
so,
[tex] x_1=157 [/tex]
[tex] y_1=-34 [/tex]
[tex] (x_2,y_2)=(-238,21) [/tex]
[tex] x_2=-238 [/tex]
[tex] y_2=21 [/tex]
now, we can use distance formula
[tex] d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
now, we can plug values in the formula
[tex] d=\sqrt{(-238-157)^2+(21+34)^2} [/tex]
[tex] d=\sqrt{(-395)^2+(55)^2} [/tex]
now, we can simplify it
[tex] d=5\sqrt{6362} [/tex]
[tex] d=398.81073 [/tex].............Answer