7. Find the distance between points F(7,21) and G (-5, 18) to the nearest tenth.
d = v(x2 – x.) + (y1 - y.)"
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[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ F(\stackrel{x_1}{7}~,~\stackrel{y_1}{21})\qquad G(\stackrel{x_2}{-5}~,~\stackrel{y_2}{18})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{(-5-7)^2+(18-21)^2}\implies FG=\sqrt{(-12)^2+(-3)^2} \\\\\\ FG=\sqrt{144+9}\implies FG=\sqrt{153}\implies \stackrel{\textit{rounded up}}{FG = 12.4}[/tex]