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3 years ago

The midpoint of CD is M(-1,-2). One endpoint is C (-9,-4). Find the coordinates of the other endpoint D.

1 answer:

6 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&C&(~ -9 &,& -4~) 
% (c,d)
&D&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{x-9}{2}~~,~~\cfrac{y-4}{2} \right)=\stackrel{midpoint~M}{(-1~~,~~-2)}\implies 
\begin{cases}
\cfrac{x-9}{2}=-1\\\\
x-9=-2\\
\boxed{x=7}\\
----------\\
\cfrac{y-4}{2}=-2\\\\
y-4=-4\\
\boxed{y=0}
\end{cases}$

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Answer:

Step-by-step explanation:

Red = 6

Blue = 3

Green = 5

Total = 14

First marble = 6/14 = 3/7 You now have 5 reds and 13 total

Second Marble = 5 * 13 which brings you down to 4 red and 12 total.

Third Marble = 4/12 = 1/3

Result

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P(3 Red) = 5/91

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2 years ago

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OverLord2011 [107]

Answer:

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3 years ago

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liberstina [14]

Point Form:

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Equation Form:

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3 years ago

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3 years ago

In a recent year, an author wrote 169 checks. Use the Poisson distribution to find the probability that, on a randomly selecte

grigory [225]

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2 years ago