[tex]\text{The formula of a distance between two points}\\\\A(x_A;\ y_A;\ z_A);\ B(x_B;\ y_B;\ z_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2+(z_B-z_A)^2}\\\\\text{We have}\ A(-2;\ 3;\ -5);\ B(2;\ -7;\ 4)\\\\\text{substitute}\\\\|AB|=\sqrt{(2-(-2))^2+(-7-3)^2+(4-(-5))^2}\\\\=\sqrt{4^2+(-10)^2+9^2}=\sqrt{16+100+81}=\sqrt{197}\approx14\\\\\text{Answer:}\ A.\ 14[/tex]
