✅ Após resolver os cálculos, concluímos que a razão procurada é:
[tex]\Large\displaystyle\text{$\begin{gathered}\boxed{\boxed{\:\:\:\bf R = \frac{6}{5}\:\:\:}}\end{gathered}$}[/tex]
Sejam os pontos do espaço unidimenional:
[tex]\Large\begin{cases} A(20)\\B(26)\end{cases}[/tex]
Se estamos querendo dividir o segmento "AB" na razão "5" devemos utilizar a seguinte estratégia:
[tex]\Large\displaystyle\text{$\begin{gathered} R = \frac{\overline{AB}}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|B - A|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|X_{B} - X_{A}|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|26 - 20|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|6|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{6}{5}\end{gathered}$}[/tex]
✅ Portanto, a resposta é:
[tex]\Large\displaystyle\text{$\begin{gathered} R = \frac{6}{5}\end{gathered}$}[/tex]
Saiba mais:
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✅ Após resolver os cálculos, concluímos que a razão procurada é:
[tex]\Large\displaystyle\text{$\begin{gathered}\boxed{\boxed{\:\:\:\bf R = \frac{6}{5}\:\:\:}}\end{gathered}$}[/tex]
Sejam os pontos do espaço unidimenional:
[tex]\Large\begin{cases} A(20)\\B(26)\end{cases}[/tex]
Se estamos querendo dividir o segmento "AB" na razão "5" devemos utilizar a seguinte estratégia:
[tex]\Large\displaystyle\text{$\begin{gathered} R = \frac{\overline{AB}}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|B - A|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|X_{B} - X_{A}|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|26 - 20|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{|6|}{5}\end{gathered}$}[/tex]
[tex]\Large\displaystyle\text{$\begin{gathered} = \frac{6}{5}\end{gathered}$}[/tex]
✅ Portanto, a resposta é:
[tex]\Large\displaystyle\text{$\begin{gathered} R = \frac{6}{5}\end{gathered}$}[/tex]
Saiba mais: