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ad-work [718]
3 years ago
11

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

  C.  70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

  nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

  8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

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Help i will brain listHelp i will brain list
STALIN [3.7K]

Answer:

The associative property will be:

(14\textbf{.}\frac{1}{7})\frac{2}{5}

So, Option C is the correct option.

Step-by-step explanation:

We need to write the expression that uses the associative property to make it easier to evaluate: 14(\frac{1}{7}\textbf{.}\frac{2}{5}  )

The associative property of multiplication states that: a(b\textbf{.}c)=(a\textbf{.}b)c

So, For the given expression:

14(\frac{1}{7}\textbf{.}\frac{2}{5}  )

The associative property will be:

(14\textbf{.}\frac{1}{7})\frac{2}{5}

So, Option C is the correct option.

4 0
3 years ago
6 divided by 1 and 2/3
SOVA2 [1]
6 divided by 1 = 6

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4 0
3 years ago
Read 2 more answers
Find the general solution and find the specific solutions over the interval [0,4pi]
Natasha2012 [34]

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

5 0
3 years ago
Josh usually runs 9 laps around a track that is 400 meters long. There are about 1,609 meters in 1 mile. Which distance is close
Veseljchak [2.6K]

Answer:

There are about 1609 meters in 1 mile. ... in 1 mile

6 0
3 years ago
Evaluate 9-1/3 -2 1/3<br><br>​
worty [1.4K]

Answer:

i think its infinite solutions

Step-by-step explanation:

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