Question

1: Calcule a distância entre o ponto A(-2,-1) e B(4,-5).
2: calcule a distância entre o ponto A(-3,4 e B(-2,-3)
Geometria analítica.

Answer 1

1)

$d = \sqrt{(x - x_{0})^{2} + (y - y_{0})^{2} } \\d = \sqrt{(-2 - 4)^{2} + (-1 - (-5))^{2} } \\d = \sqrt{(-6)^{2} + (-1 + 5)^{2} } \\d = \sqrt{36 + (4)^{2} } \\d = \sqrt{36 + 16 } \\d = \sqrt{52 } \\d = 2\sqrt{13}$

2)

$d = \sqrt{(x - x_{0})^{2} + (y - y_{0})^{2} } \\d = \sqrt{(-3 - (-2))^{2} + (4 - (-3))^{2} } \\d = \sqrt{(-3 + 2)^{2} + (4 + 3)^{2} } \\d = \sqrt{(-1)^{2} + (7)^{2} } \\d = \sqrt{1 + 49 } \\d = \sqrt{50 } \\d = 5\sqrt{2}$