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Stolb23 [73]
2 years ago
7

Simplify. -2(y+3)+4y

Mathematics
2 answers:
stiks02 [169]2 years ago
6 0
The correct answer is 2y-6 let me know if you want to know how I got that
Pavel [41]2 years ago
3 0

Answer:

-6+2y

Step-by-step explanation:

-2(y+3)+4y

Use distributive property for -2 and (y+3)

-2y-6+4y

Then simplify=

-6+2y or 2y-6

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The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
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\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
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