hunterthompson2 hunterthompson2
  • 18-09-2018
  • Mathematics
contestada

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

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jdoe0001 jdoe0001
  • 18-09-2018

[tex]\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 = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[-27-(-26)]^2+[104-(-99)]^2} \\\\\\ AB=\sqrt{(-27+26)^2+(104+99)^2}\implies AB=\sqrt{(-1)^2+203^2} \\\\\\ AB=\sqrt{1+41209}\implies AB=\sqrt{41210} \\\\\\ A\approx 203.002463039\implies A=\stackrel{\textit{rounded up}}{203}[/tex]

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