Question

calcule a distancia entre os pontos a( -5,4) b( -2,7)

Answer 1

Explicação passo-a-passo:

$A(-5,4)\\ B(-2,7)\\ P(x,y)\\ \\ d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2} \\ \\ d_{AB}=\sqrt{[-2-(-5)]^2+(7-4)^2} \\ \\ d_{AB}=\sqrt{(-2+5)^2+(3)^2} \\ \\ d_{AB}=\sqrt{3^2+9} \\ \\ d_{AB}=\sqrt{9+9} \\ \\ d_{AB}=\sqrt{18} \\ \\ d_{AB}=\sqrt{2.3^2} \\ \\ d_{AB}=3\sqrt{2}$