Mathematics, 05.07.2019 06:30 kaffolter25
Acircle has a diameter with endpoints at 3 – 5i and –8 + 2i. what is the center of the circle?
Answers: 1
![\bf \begin{cases} 3-5i\\ \qquad (3,-5)\\ -8+2i\\ \qquad (-8,2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)](/tpl/images/0053/0879/70117.png)
![\bf \left( \cfrac{-8+3}{2}~~,~~\cfrac{2-5}{2} \right)\implies \left( -\cfrac{5}{2}~,~-\cfrac{3}{2} \right)\implies \left( -2\frac{1}{2}~,~ -1\frac{1}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -2\frac{1}{2}-1\frac{1}{2}~i~\hfill](/tpl/images/0053/0879/37c81.png)
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Acircle has a diameter with endpoints at 3 – 5i and –8 + 2i. what is the center of the circle?...
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