Question

calcule a distancia entre os pontos A(-1,-1)e B(1,1)

Answer 1

d²=(1+1)²+(1+1)²
d²=2²+2²
d²=4+4
d²=8
d=√8
d=2√2

Answer 2

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