Mathematics: The midpoint of cd is (8,-6). the coordinates of c are (0,-5). find the coordinates of d

The midpoint of cd is (8,-6). the coordinates of

Ответ:

astepania0003

01.01.2022

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+0}{2}~~,~~\cfrac{y-5}{2} \right)~~=~~\stackrel{midpoint}{(8~,~-6)}\implies \begin{cases} \cfrac{x+0}{2}=8\\[1em] \boxed{x = 16}\\ \cline{1-1} \cfrac{y-5}{2}=-6\\[1em] y-5=-12\\ \boxed{y=-7} \end{cases}$

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Ответ:

kactus

13.05.2023

Mathematics

The answer is 5 teachers per room.

Step-by-step explanation:

The 25 teachers are divided between five classes. If each of the classes gets one teacher, there are twenty teachers left. If each gets two, there are fifteen teachers left. If each gets three, there are ten teachers left. If each gets four, there are five teachers left, but if each gets five, there are no teachers remaining and an equal amount of teachers in each class.

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The midpoint of cd is (8,-6). the coordinates of c are (0,-5). find the coordinates of d

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