Question

calcule a distancia entre os seguintes pares de pontos: A(-21,3) B(-7,-5)

Answer 1

$A(-21,3) ~~e ~~B(-7,-5)\\\\\\D_{a,b}= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\\ D_{a,b}= \sqrt{(-7-(-21))^2+(-5-3)^2}\to \\\\ D_{a,b}= \sqrt{(-7+21)^2+(-5-3)^2}\to \\\\ D_{a,b}= \sqrt{(14)^2+(-8)^2}\to \\\\ D_{a,b}= \sqrt{196+64}\to \\\\ D_{a,b}= \sqrt{260}\to \\\\ D_{a,b}= \sqrt{2^2.5.13}\to \\\\ D_{a,b}= 2\sqrt{5.13}\to \\\\ \large\boxed{D_{a,b}= 2\sqrt{65}}$