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HACTEHA [7]
3 years ago
13

Find The length of AB

Mathematics
2 answers:
Viktor [21]3 years ago
6 0

Answer:

12

Step-by-step explanation:

UNO [17]3 years ago
4 0

Answer:

12

Step-by-step explanation:

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1/2

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Find the coefficient of x^5y^8 in (x+y)^13
Dafna1 [17]

recall that the exponent for the first term will be starting at 13, and descending by one on every expanded term, in the binomial theorem.


so, 13, 12, 11, 10, 9, 8, 7, 6, 5 <---- x⁵ will then be in the 9th term


now, using the "combination" formula to get the coefficient of the 9th term.


k = 8 <--- the 9th term


n = 13 <--- highest exponent


\bf \textit{the coefficient and values of an expanded term} \\\\ (x+y)^{13} \qquad \qquad  \begin{array}{llll} expansion\\ for\\ 9^{th}~term \end{array} \quad  \begin{cases} \stackrel{term}{k}=0..n\\ \stackrel{exponent}{n}\\ -----\\ k=\stackrel{9~term}{8}\\ n=13 \end{cases}


\bf \stackrel{coefficient}{\left(\frac{n!}{k!(n-k)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( a^{n-k} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( b^k \right)} \\\\\\ \cfrac{13!}{8!(13-8)!}~~x^{13-8}~~(+y)^8\implies 1287~x^5y^8

5 0
4 years ago
Read 2 more answers
PLEASE HELP find the value of x
Elenna [48]

I think it could be 40° or 130°. Im not 100% sure however because i dont know how much all the numbers add up to. It could either be 180° or 270°

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