Question

Determine a distância entre P(-5,4) e Q(-2,7)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

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

$\mathsf{d_{PQ} = \sqrt{(-5 - (-2))^2 + (4 - 7)^2}}$

$\mathsf{d_{PQ} = \sqrt{(-5 + 2)^2 + (4 - 7)^2}}$

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

$\mathsf{d_{PQ} = \sqrt{9 + 9}}$

$\mathsf{d_{PQ} = \sqrt{18}}$

$\mathsf{d_{PQ} = \sqrt{2.3^2}}$

$\boxed{\boxed{\mathsf{d_{PQ} = 3\sqrt{2}}}}$