Question

1.Determine a distância entre os pontos abaixo:
a) A(0,-2) e B(-4, 6) b) C(6, -5) e D(2, -4)

Answer 1

$d = \sqrt{(x - x_{0})^{2} + (y - y_{0})^{2} }\\d = \sqrt{(0 - (-4))^{2} + (-2 - 6)^{2} }\\d = \sqrt{(4)^{2} + (-8)^{2} }\\d = \sqrt{16 + 64}\\d = \sqrt{80}\\d = 16\sqrt{5}$

$d = \sqrt{(x - x_{0})^{2} + (y - y_{0})^{2} }\\d = \sqrt{(6 - 2)^{2} + (-5 - (-4))^{2} }\\d = \sqrt{(4)^{2} + (-1)^{2} }\\d = \sqrt{16 + 1}\\d = \sqrt{17$