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3 years ago

I need help ASAP plzzzzz P = 2a + b for a.

Mathematics

1 answer:

dezoksy [38]3 years ago

5 0

Answer:

Step-by-step explanation:

P=2a+b

Solve for a.

Divide both sides by 2 to isolate a.

P=2a+b

P/2=a+b/2

When you rewrite the equation, it becomes:

a=P/2-b/2 (The sign changes from a positive to a negative because you need to move P/2 to the other side to get a to one side)

Therefore, your final answer is: a=P/2-b/2

Hope this helped!

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$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
% (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
% coordinates of midpoint 
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$\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
\end{cases}$

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