Mathematics, 14.07.2019 15:30 breanastone15
Acircle is centered at the point (-7, -1) and passes through the point (8, 7). the radius of the circle is units. the point (-15, lies on this circle.
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[8-(-7)]^2+[7-(-1)]^2}\implies r=\sqrt{(8+7)^2+(7+1)^2}\\\\\\r=\sqrt{15^2+8^2}\implies r=\sqrt{289}\implies r=17](/tpl/images/0089/1395/b65b6.png)
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\\stackrel{center}{(\stackrel{x_1}{-7}~,~\stackrel{y_1}{-1})}\qquad (\stackrel{x_2}{-15}~,~\stackrel{y_2}{y})\\\\\\\stackrel{r}{17}=\sqrt{[-15-(-7)]^2+[y-(-1)]^2}\\\\\\17=\sqrt{(-15+7)^2+(y+1)^2}\implies 17^2=(-15+7)^2+(y+1)^2\\\\\\289=(-8)^2+(y+1)^2\implies 289=64+(y+1)^2\\\\\\225=(y+1)^2\implies \sqrt{225}=y+1\implies 15=y+1\implies 14=y](/tpl/images/0089/1395/47edc.png)
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Acircle is centered at the point (-7, -1) and passes through the point (8, 7). the radius of the cir...
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