Question

qual é a distância entre os pontos c(3, -2) e d(-1, 4)?​

Answer 1

Resolução na foto
Espero ter ajudado

Answer 2

Resposta:

2√13

Explicação passo-a-passo:

Declive fórmula:

$\displaystyle \mathsf{\frac{Y_2-Y_1}{X_2-X_1} }$

Fórmula de distância:

$\displaystyle \mathsf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}\\\\\\\displaystyle \mathsf{(x_1, \quad y_1) \quad (x_2, \quad y_2)}}$

$\displaystyle \mathsf{\left(3,\:-2\right)\quad\left(-1,\:4\right)}\\\\\\\displaystyle \mathsf{\sqrt{\left(-1-3\right)^2+\left(4-\left(-2\right)\right)^2}}\\\\\\\textbf{Resolver.}\\\\\\\displaystyle \mathsf{\sqrt{\left(-1-3\right)^2+\left(4-\left(-2\right)\right)^2}}=\mathsf{2\sqrt{13}}\\\\\\\Rightarrow \Large\boxed{\mathsf{2\sqrt{13}}}$