Question

1°) Determinar a distância entre os pontos A(3,7) e B(0,7)

Answer 1

✅ Após resolver os cálculos, concluímos que a distância entre os referidos pontos é:

  $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf d(A, B) = 3\:u.\:c.\:\:\:}}\end{gathered} }$

Sejam os pontos:

               $\Large\begin{cases} A = (3, 7)\\B = (0, 7)\end{cases}$

Para calcular a distância entre os pontos devemos fazer:

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

                     $\Large\displaystyle\text{ \begin{gathered} = \sqrt{(0 - 3)^{2} + (7 - 7)^{2}}\end{gathered} }$

                     $\Large\displaystyle\text{ \begin{gathered} = \sqrt{(-3)^{2} + 0^{2}}\end{gathered} }$

                     $\Large\displaystyle\begin{gathered} = \sqrt{9 + 0}\end{gathered}$

                     $\Large\displaystyle\begin{gathered} = \sqrt{9}\end{gathered}$

                     $\Large\displaystyle\begin{gathered} = 3\end{gathered}$

✅ Portanto, a distância procurada é:

   $\Large\displaystyle\begin{gathered} d(A, B) = 3\:u.\:c.\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Observe \:o\:Gr\acute{a}fico!!\:\:\:}}}\end{gathered} }$