Question

Determine a distância entre os pontos (2,-1) e (- 1,3)

Answer 1

$(2,-1) ; (- 1,3)\\\\\\ d_{a,b}= \sqrt{(x_b-x_a)^2+(y_b-y_a)^2} \\\\\\ d_{a,b}= \sqrt{(-1-2)^2+(3-(-1))^2}\to \\\\ d_{a,b}= \sqrt{(-1-2)^2+(3+1)^2}\to \\\\ d_{a,b}= \sqrt{(-3)^2+(4)^2}\to \\\\ d_{a,b}= \sqrt{9+16}\to \\\\ d_{a,b}= \sqrt{25}\to \\\\ d_{a,b}=5$