stargirl21359
stargirl21359 stargirl21359
  • 17-09-2018
  • Mathematics
contestada

Find the distance cd rounded to the nearest tenth. c=(6,-5) and D=(-1,-4)

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jdoe0001 jdoe0001
  • 17-09-2018

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{6}~,~\stackrel{y_1}{-5})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CD=\sqrt{[-1-6]^2+[-4-(-5)]^2}\implies CD=\sqrt{(-1-6)^2+(-4+5)^2} \\\\\\ CD=\sqrt{(-7)^2+1^2}\implies CD=\sqrt{49+1} \\\\\\ CD=\sqrt{50}\implies CD\approx 7.0710678\implies CD=\stackrel{\textit{rounded up}}{7.1}[/tex]

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