Question

Determine a distância entre os pontos:

A) P= ( -2, 8) e Q = (-3, 5).

B) A=(-4, 4) e B= (8, -1 ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{D_{PQ} = \sqrt{(x_Q - x_P)^2 + (y_Q - y_P)^2}}$

$\mathsf{D_{PQ} = \sqrt{(-3 - (-2))^2 + (5 - 8)^2}}$

$\mathsf{D_{PQ} = \sqrt{(-3 + 2)^2 + (5 - 8)^2}}$

$\mathsf{D_{PQ} = \sqrt{(-1)^2 + (-3)^2}}$

$\mathsf{D_{PQ} = \sqrt{1 + 9}}$

$\boxed{\boxed{\mathsf{D_{PQ} = \sqrt{10}}}}$

$\mathsf{D_{AB} = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}}$

$\mathsf{D_{AB} = \sqrt{(8 - (-4))^2 + (-1 - 4)^2}}$

$\mathsf{D_{AB} = \sqrt{(8 + 4)^2 + (-1 - 4)^2}}$

$\mathsf{D_{AB} = \sqrt{(12)^2 + (-5)^2}}$

$\mathsf{D_{AB} = \sqrt{144 + 25}}$

$\mathsf{D_{AB} = \sqrt{169}}$

$\boxed{\boxed{\mathsf{D_{AB} = 13}}}$