Question

Me ajudem por favor não estou conseguindo fazer !

Answer 1

Utilizando a formulação para a distancia entre dois pontos (abaixo), temos:

$Distancia_{\,A,B}~=~\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}$

a)

$Distancia_{\,A,B}~=~\sqrt{(-3-1)^2+(2-(-1))^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{(-4)^2+(2+1)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{(-4)^2+(3)^2}\\\\\\Distancia_{\,A,B}~=~\sqrt{16+9}\\\\\\Distancia_{\,A,B}~=~\sqrt{25}\\\\\\\boxed{Distancia_{\,A,B}~=~5}$

b)

$Distancia_{\,C,D}~=~\sqrt{(22-7)^2+(13-5)^2}\\\\\\Distancia_{\,C,D}~=~\sqrt{(15)^2+(8)^2}\\\\\\Distancia_{\,C,D}~=~\sqrt{225+64}\\\\\\Distancia_{\,C,D}~=~\sqrt{289}\\\\\\\boxed{Distancia_{\,C,D}~=~17}$