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olga nikolaevna
2 months ago
10

Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.

Mathematics
2 answers:
Leona [12.6K]2 months ago
7 0

(-11 + -4)/2 = -15/2

(i + 4i)/2 = 5/2 i

the midpoint calculates to (-15/2, 5/2 i)

or in decimal form (-7.5, 2.5i)

tester [12.3K]2 months ago
5 0

\bf \begin{cases} -11+i\implies -11+1i\\ \qquad (-11,1)\\ -4+4i\\ \qquad (-4,4) \end{cases} \\\\\\ ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~,~~~ \cfrac{ y_2 + y_1}{2} \right)


\bf \left( \cfrac{-4-11}{2}~~,~~ \cfrac{4+1}{2}\right)\implies \left(-\frac{15}{2}~,~\frac{5}{2} \right)\implies \left(-7\frac{1}{2}~,~2\frac{1}{2} \right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -7\frac{1}{2}+2\frac{1}{2}i~\hfill

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