Question

1. Determine a distância dos pontos dados. a) A (-2,4) e B (1,1)

Answer 1

$\large\boxed{\begin{array}{l}\sf{d_{AB }=\sqrt{(x_{A} -x_{B})^{2}+(y_{A} -y_{B})^{2}}}\\\sf d_{AB}=\sqrt{((-2)-1)^2+(4-1)^2}\\\sf d_{AB}=\sqrt{(-3)^2+3^2}\\\sf d_{AB}=\sqrt{9+9}\\\sf d_{AB}=\sqrt{18}\\\sf d_{AB}=3\sqrt{2}\end{array}}$

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf A(-2,4) \Leftrightarrow B(1,1)$

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

$\sf \sd d_{AB} = \sqrt{(-2-1)^2 + (4-1)^2}$

$\sf \sd d_{AB} = \sqrt{(-3)^2 + (3)^2}$

$\sf \sd d_{AB} = \sqrt{9 + 9}$

$\sf \sd d_{AB} = \sqrt{18}$

$\boxed{\boxed{\sf \sd d_{AB} = 3\sqrt{2}}}$