Question

Determine a distância entre os pontos a seguir
B(-1,1) e E(5, -1)

Answer 1

$\boxed{\boxed{d_{BE}=\sqrt{(x_{B}-x_{E})^{2}+(y_{B}-y_{E})^{2}}}}$
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$x_{B}=-1~~~~~~y_{B}=1\\x_{E}=5~~~~~~~~y_{E}=-1\\\\d_{BE}=\sqrt{(x_{B}-x_{E})^{2}+(y_{B}-y_{E})^{2}}\\d_{BE}=\sqrt{(-1-5)^{2}+(1-[-1])^{2}}\\d_{BE}=\sqrt{(-6)^{2}+2^{2}}\\d_{BE}=\sqrt{36+4}\\d_{BE}=\sqrt{40}\\d_{BE}=\sqrt{4\cdot10}\\d_{BE}=\sqrt{4}\cdot\sqrt{10}\\\\\boxed{\boxed{d_{BE}=2\sqrt{10}}}$