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Sladkaya [172]
4 years ago
8

AB has a midpoint M at (6, 3). If point A is at (-5, -1) & point B is at (2a - 7, b + 7), find the value of b

Mathematics
1 answer:
horsena [70]4 years ago
4 0

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad
B(\stackrel{x_2}{2a-7}~,~\stackrel{y_2}{b+7})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{(2a-7)-5}{2}~~,~~\cfrac{(b+7)-1}{2} \right)=\stackrel{\stackrel{midpoint}{M}}{(6,3)}\implies \begin{cases}
\cfrac{(2a-7)-5}{2}=6\\[-0.5em]
\hrulefill\\
\cfrac{(b+7)-1}{2}=3\\[0.8em]
(b+7)-1=6\\
b+6=6\\
\boxed{b=0}
\end{cases}

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What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest
7nadin3 [17]

Answer:

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Step-by-step explanation:

Order each number from least to greatest. Note that if the number is numerically larger and attached is a negative sign (-), then it is towards the least. If it does not have a negative sign, it leans towards the most.

Your answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

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6 0
3 years ago
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Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )
3 0
4 years ago
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liubo4ka [24]

Answer:

B

Step-by-step explanation:

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Hope this helped








5 0
3 years ago
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