Question

1) calcule a distância entre os pontos a) A(5,3) e B(-4,-2) b) A(-2,5) e B(-1,-3) Ajuda aí pessoal

Answer 1

a)

$\mathsf{(x_{B}-x_{A})^2=(-4-5)^2=(-9)^2=81}$

$\mathsf{(y_{B}-y_{A})^2=(-2-3)^2=(-5)^2=25}$

$\mathsf{d_{A, B}=\sqrt{{(x_{B}-x_{A})}^{2}+{(y_{B}-y_{A})}^{2}}}$

$\mathsf{d_{A, B}=\sqrt{81+25}}$

$\mathsf{d_{A, B}=\sqrt{106}}$

$\dotfill$

b)

$\mathsf{(x_{B}-x_{A})^2=(-1+2)^2=1^2=1}$

$\mathsf{(y_{B}-y_{A})^2=(-3-5)^2=(-8)^2=64}$

$\mathsf{d_{A, B}=\sqrt{{(x_{B}-x_{A})}^{2}+{(y_{B}-y_{A})}^{2}}}$

$\mathsf{d_{A, B}=\sqrt{1+64}}$

$\mathsf{d_{A, B}=\sqrt{65}}$