Question

Calcule a distância entre os pontos A=(-3,1) e B=(-2,2)!

Answer 1

Resposta:

Explicação passo a passo:

A(-3,1)     B(-2,2)

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(-2-(-3))²+(2-1)²

d=√(-2+3)²+1²

d=√1²+1

d=√1+1

d=√2

Answer 2

$\Large\displaystyle\text{ \begin{gathered} \sf{\sf{d_{AB }=\sqrt{(x_{A} -x_{B})^{2}+(y_{A} -y_{B})^{2}}} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{(-3-(-2))^2+(1-2)^2}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{(-1)^2+(-1)^2} }\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{1+1}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \therefore\green{\underline{\boxed{\sf{d_{AB}= \sqrt{2}} }}}~~(\checkmark)\end{gathered} }$