Question

Em cada caso,calcule a distancias de A e B

 a) A (1,-4) B (6-2) b) A(2,-2), B(-1,5)  c) (3,9), B(-7,0)

Answer 1

$d= \sqrt{(x1-x2)^2+(y1-y2})^2\\d(A,B)= \sqrt{(1-6)^2+(-4-[-2])^2}= \sqrt{25+4}= \sqrt{29}\\\\d(A,B)= \sqrt{(2-[-1])^2+(-2-5)^2}= \sqrt{9+49}= \sqrt{58}\\\\d(A,B)= \sqrt{(3-[-7])^2+(9-0)^2}= \sqrt{100+81}= \sqrt{181}$