Question

Dados os pontos E (3,-1) e F (3,5) a distância entre eles é:
a)8
b)9
c) 6
d) 7​

Answer 1

Resposta:

DEF = √(3 - 3 )² + (5 + 1)²

DEF = √0 + 36

DEF = √36

DEF = 6 (c)

Explicação passo a passo:

Answer 2

✅ Tendo finalizado os cálculos, concluímos que a distância entre os pontos é:

      $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf d(E,F) = 6\:u.\:c.\:\:\:}}\end{gathered} }$

Portanto, a opção correta é:

        $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf Alternativa\:C\:\:\:}}\end{gathered} }$

Sejam os dados:

               $\Large\begin{cases} E(3, -1)\\F(3, 5)\end{cases}$

Calculando a distância:

    $\Large\displaystyle\text{ \begin{gathered} d(E,F) = \sqrt{(X_{F} - X_{E})^{2} + (Y_{F} - Y_{E})^{2}}\end{gathered} }$

                      $\Large\displaystyle\text{ \begin{gathered} = \sqrt{(3 - 3)^{2} + (5 - (-1))^{2}}\end{gathered} }$

                      $\Large\displaystyle\text{ \begin{gathered} = \sqrt{0^{2} + (5 + 1)^{2}}\end{gathered} }$

                      $\Large\displaystyle\text{ \begin{gathered} = \sqrt{0^{2} + 6^{2}}\end{gathered} }$

                      $\Large\displaystyle\begin{gathered} = \sqrt{36}\end{gathered}$

                     $\Large\displaystyle\begin{gathered} = 6\end{gathered}$

✅ Portanto, a distância é:

  $\Large\displaystyle\begin{gathered} d(E, F) = 6\:u.\:c.\end{gathered}$

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

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