Question

1) A distância entre os pontos M(-3, 1) e N(5, -14) é: *
a) () 117
d) () 10
c) () 7
b) () 17​

Answer 1

$M(x_M,y_M)=M(-3,1)\\ N(x_N,y_N)=N(5,-14)\\\\ \boxed{d_{MN}^2=(x_N-x_M)^2+(y_N-y_M)^2}\ \therefore\\\\ d_{MN}^2=(5-(-3))^2+(-14-1)^2=8^2+(-15)^2\ \therefore\\\\ d_{MN}^2=289\ \therefore\ d_{MN}=\sqrt{17^2}\ \therefore\ \boxed{d_{MN}=17\ u.c.}$