Question

determine a distancia entre os pontos A(0,-2) e B (-6,-10)

Answer 1

Resposta:

 AB= √(Xb-Xa)²+(Yb-Ya)²
AB= √(-6-0)²+(-10-2)²
AB=√36+144
AB=√180

Answer 2

$A~(0~;~-2)~~~e~~~B~(-6~;~-10)\\\\\\ d_{ab}= \sqrt{(x_b-x_a)^2+(y_b-y_a)^2} \\\\\\ d_{ab}= \sqrt{(-6-0)^2+(-10-(-2))^2} \to \\\\ d_{ab}= \sqrt{(-6)^2+(-10+2)^2} \to \\\\ d_{ab}= \sqrt{(-6)^2+(-8)^2} \to \\\\ d_{ab}= \sqrt{36+64} \to \\\\ d_{ab}= \sqrt{100} \to \\\\ \large\boxed{d_{ab}= 10}$