Question

Calcule a distância entre os pontos A(5,6)e B(-2,6)​

Answer 1

Resposta:

7

Explicação passo-a-passo:

D=√(∆x)²+(∆y)²

D=√(5+2)²+(6-6)²

D=√(7)²+(0)²

D=√(7)²

D=√49

D=7

Answer 2

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

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{(5-(-2))^2+(6-6)^2}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{7^2+0^2} }\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{49+0}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{49}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \therefore\green{\underline{\boxed{\sf{d_{AB}= 7} }}}~~(\checkmark)\end{gathered} }$