Question

determine a distância entre os pontos dados: P ( 3,-3 ) e Q ( -3, 3 )​

Answer 1

Resposta:

$6\sqrt{2}$

Explicação passo-a-passo:

$d_{\overline{PQ}}=\sqrt{(x_Q-x_p)^2+(y_Q-y_p)^2} \\d_{\overline{PQ}}=\sqrt{(-3-3)^2+(3-(-3))^2}\\d_{\overline{PQ}}=\sqrt{(-6)^2+(3+3)^2}\\d_{\overline{PQ}}=\sqrt{36+36}\\d_{\overline{PQ}}=\sqrt{72}\\d_{\overline{PQ}}=\sqrt{9.8}=\sqrt{3^2.2^2.2}=6\sqrt{2}$