Question

Find the distance between points A(-26, -99) and B(-27, 104)to the nearest tenth.

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-26}~,~\stackrel{y_1}{-99})\qquad B(\stackrel{x_2}{-27}~,~\stackrel{y_2}{104})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√([-27-(-26)]^2+[104-(-99)]^2) \\\\\\ AB=√((-27+26)^2+(104+99)^2)\implies AB=√((-1)^2+203^2) \\\\\\ AB=√(1+41209)\implies AB=√(41210) \\\\\\ A\approx 203.002463039\implies A=\stackrel{\textit{rounded up}}{203}`