Question

Determine a distância entre os pontos A(3,-2) e B(-5,4)
(A) 10
(B) √8
(C) √14
(D) √28
(E) 50

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

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

$\mathsf{d_{AB} = \sqrt{(3 - (-5))^2 + (-2 - 4)^2}}$

$\mathsf{d_{AB} = \sqrt{(3 + 5)^2 + (-2 - 4)^2}}$

$\mathsf{d_{AB} = \sqrt{(8)^2 + (-6)^2}}$

$\mathsf{d_{AB} = \sqrt{64 + 36}}$

$\mathsf{d_{AB} = \sqrt{100}}$

$\mathsf{d_{AB} = \sqrt{10^2}}$

$\boxed{\boxed{\mathsf{d_{AB} = 10}}}\leftarrow\textsf{letra A}$