Question

Dirtermine a distância entre os pontos a e b a(1,3) b(-2,-1)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

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

$\mathsf{d_{AB} = \sqrt{(1 - (-2))^2 + (3 - (-1))^2}}$

$\mathsf{d_{AB} = \sqrt{(1 + 2)^2 + (3 + 1)^2}}$

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

$\mathsf{d_{AB} = \sqrt{9 + 16}}$

$\mathsf{d_{AB} = \sqrt{25}}$

$\boxed{\boxed{\mathsf{d_{AB} = 5}}}$

Answer 2

$\large \boxed{ \begin{array}{l} \rm \: d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{(1 - ( - 2)) {}^{2} + (3 - ( - 1)) {}^{2} } \\ \\\rm\:d_{AB}= \sqrt{(1+2)^2+(3+1)^2} \\ \\ \rm\:d_{AB}=\sqrt{(3)^2+(4)^2}\\\\\rm \: d_{AB} = \sqrt{9 \: + 16 \: } \\ \\ \rm \: d_{AB} = \sqrt{25 \: } \\ \\ \boxed{ \boxed{ \rm d_{AB} = 5}}\end{array}}$