2 years ago

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

Mathematics

1 answer:

Ivanshal [37]2 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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nasty-shy [4]

Answer:

$81.2\:\mathrm{ft}$

Step-by-step explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

$\tan33^{\circ}=\frac{h}{125}$ , where $h$ is the height of the tree.

Solving, we get:

$h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}$ .

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2 years ago

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oee [108]

Answer:

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Step-by-step explanation:

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2 years ago

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Mumz [18]

Answer:

angleEAF=angleBAC (शिर्षभिमुख कोण भएर)

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1 year ago

Read 2 more answers

What is the image of (5,-8)(5,−8) after a reflection over the x-axis?

velikii [3]

Answer:

(5,8)

Step-by-step explanation:

(x,y) --> (x,-y)

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2 years ago

Let f(3) = 0, f'(3) =6, g(3) = 1 and g'(3) = 1/3. find h'(3)

aniked [119]

1/2 hope it helps just starting out

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2 years ago