Question

a distância entre os pontos R (-1/2,1)eS (5,-1)

Answer 1

$dRS^2=(x2-x1)^2+(y2-y1)^2\\\\ dRS^2 = (5+ \frac{1}{2} )^2+(-1-1)^2\\\\ dRS^2 = ( \frac{11}{2})^2+(-2)^2\\\\ dRS^2 = \frac{121}{4} +4\\\\ dRS^2= \frac{137}{4} \\\\ dRS= \sqrt{ \frac{137}{4} }\\\\ dRS= \Large\boxed{ \frac{ \sqrt{137} }{2}}$