Question

calcule as distâncias entre os pontos. a (-1,-1),b (1,1).

Answer 1

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

xA = - 1 e yA = - 1

xB = 1 e yB = 1

$d_{AB} = \sqrt{(xB-xA)^2+(yB-yA)^2}$

$d_{AB} = \sqrt{[1 - (-1)]^2+(1+1)^2}$

$d_{AB} = \sqrt{(2^2 + 2^2)}$

$d_{AB} = \sqrt{8}$

$d_{AB} = 2\sqrt{2}$ unidade de comprimento

Answer 2

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