Mathematics, 25.07.2019 15:00 adkinsryan72
Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle.
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -1 &,& -3~) % (c,d) &&(~ -7 &,& -5~) \end{array}\\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2} \\\\\\ r=\sqrt{(-6)^2+(-2)^2}\implies r=\sqrt{40}\\\\ -------------------------------](/tpl/images/0131/5029/3898b.png)
![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-1}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\sqrt{40}}{ r} \\\\\\\ [x-(-1)]^2+[y-(-3)]^2=(\sqrt{40})^2\implies (x+1)^2+(y+3)^2=40](/tpl/images/0131/5029/5d2fd.png)
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Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle....
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