Question

calcule a distancia entre os pontos A(0,3) e B(2,-1), representando os pontos e a distancia entre eles no plno cartesiano.

Answer 1

$A(0,3) ;B(2,-1)\\\\\\ D_{a,b}= \sqrt{(x_b-x_a)^2+(y_b-y_a)^2} \\\\\\ D_{a,b}= \sqrt{(2-0)^2+(-1-3)^2}\to \\\\ D_{a,b}= \sqrt{(2)^2+(-4)^2}\to \\\\ D_{a,b}= \sqrt{4+16}\to \\\\ D_{a,b}= \sqrt{20}\to \\\\ D_{a,b}= \sqrt{2^2*5}\to \\\\ D_{a,b}=2 \sqrt{5} \\ \\ ou\\\\ D_{a,b}= 4,47...$.


A representação no plano cartesiano está na foto.