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Ivanshal [37]
3 years ago
15

Can someone help me with these two problems please!!!!!

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Answer:

The question at the top is:

Factor  

x 2 + 2 x − 63

using the AC method.

( x − 7 ) ( x + 9)

WHICH THE ANSWER IS (B)

The question at the bottom is:

Factor  

x 2 + 18 x + 80

using the AC method.

( x + 8 )  ( x + 10 )

WHICH IS ANSWER (C)

Step-by-step explanation:

Hope this helped! :)

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Answer:

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And then get 118! Have a nice day YW!!!!!???

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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
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notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------

\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714
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