Question

distancia entre dois pontos

A (-2,4) e (-5,1)

Answer 1

Explicação passo-a-passo:

A(-2,4)

B(-5,1)

P(x,y)

$d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\ \\ d_{AB}=\sqrt{[-5-(-2)]^2+(1-4)^2 } \\ \\ d_{AB}=\sqrt{(-5+2)^2+(-3)^2} \\ \\ d_{AB}=\sqrt{(-3)^2+(+9)} \\ \\ d_{AB}=\sqrt{9+9} \\ \\ d_{AB}=\sqrt{18} \\ \\ d_{AB}=\sqrt{2.3^2} \\ \\ d_{AB}=3\sqrt{2}$