Question

Calcule a distância entre os pares de ponto
A (-1,-1) B(1,1)

Answer 1

A(-1,-1) e B(1,1)

D² = ( xb - xa )² + ( yb - ya )²

D² = ( 1 + 1 )² + ( 1 + 1 )²

D² = 2² + 2²

D² = 4 + 4

D = √8 ... 2√2

Answer 2

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{ ((- 1) - 1) {}^{2} + (( - 1) - 1) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 2) {}^{2} + ( - 2) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{4 + 4} } \\ \\ \sf{d_{AB} = \sqrt{8} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 2 \sqrt{2} }}}\end{array}}$