Question

Calcule a distância entre os ponto
A (2\3,1) e B (1\3,-2)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}}$

$\mathsf{d = \sqrt{(\dfrac{1}{3} - \dfrac{2}{3})^2 + (-2 - 1)^2}}$

$\mathsf{d = \sqrt{(-\dfrac{1}{3})^2 + (-3)^2}}$

$\mathsf{d = \sqrt{\dfrac{1}{9} + 9}}$

$\mathsf{d = \sqrt{\dfrac{1 + 81}{9}}}$

$\mathsf{d = \sqrt{\dfrac{82}{9}}}$

$\boxed{\boxed{\mathsf{d = \dfrac{\sqrt{82}}{3}}}}}$

Answer 2

Resposta:

d²=(x1-x2)+(y1-y2)²

d²=(2/3-1/3 )² +(1-(-2))²

d²=(1/3)² +(3)²

d²=1/9 +9

d²=(1+81)/9=82/9  

d=√(82/9 ) = √82/3  unid. distância