Question

calcule a distancia entre A (-1,-7) e B (0,0)

Answer 1

$A~(-1,-7)$

$x_{A}=-1\\y_{A}=-7$
_________

$B~(0,0)$

$x_{B}=0\\y_{B}=0$
_________

$d = \sqrt{(x_{A}-x_{B})^{2}+(y_{A}-y_{B})^{2}}\\d=\sqrt{(-1-0)^{2}+(-7-0)^{2}}$
$d = \sqrt{(-1)^{2}+(-7)^{2}}\\d=\sqrt{1+49}\\d=\sqrt{50}\\d=\sqrt{2*25}\\d=\sqrt{2}*\sqrt{25}\\d=\sqrt{2}*5\\d=5\sqrt{2}$