Question

a distância entre o ponto A (-1,2) e B (2,-2) corresponde a​

Answer 1

$Distancia_{\,A,B}~=~\sqrt{\left(x_A-x_B\right)^2+\left(y_A-y_B\right)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{\left(-1-2\right)^2+\left(2-(-2)\right)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{\left(-3\right)^2+\left(2+2\right)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{\left(-3\right)^2+\left(4\right)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{9+16}\\\\\\Distancia_{\,A,B}~=~\sqrt{25}\\\\\\\boxed{Distancia_{\,A,B}~=~5~unidades}$