Question

Calcule
a
distância
entre
os
pontos:
* P (-5,4) e Q (-2,7)

Answer 1

$\sf d_{PQ}=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}$

$\sf d_{PQ}=\sqrt{(-2-(-5))^2+(7-4)^2}$

$\sf d_{PQ}=\sqrt{(3)^2+(3)^2}$

$\sf d_{PQ}=\sqrt{9+9}$

$\sf d_{PQ}=\sqrt{18}$

$\sf d_{PQ}=\sqrt{2\cdot3^2}$

$\boxed{\boxed{\sf d_{PQ}=3\sqrt{2}}}$