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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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Do the following form a right triangle?<br> 20, 25, 30<br> True<br> False
qaws [65]

Answer:

False

Step-by-step explanation:

20, 25, and 30 no hagas un triángulo rectángulo

4 0
4 years ago
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The length of a rectangle is 3 times twice the width. The perimeter is 36. What are the side lengths?
Svetllana [295]

Answer & Explanation:

For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).

What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:

P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w

Solve for w first, then solve for l. Use these values to find the area.

Pls, choose me as brainliest!

8 0
2 years ago
Wha is 2+2 someone help me
katrin2010 [14]

Answer:

4 is the correct answer.

8 0
3 years ago
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26 inches long is how many yards long
Irina-Kira [14]
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5 0
4 years ago
Given the following revenue and cost functions, find the x-value that makes revenue a maximum.
Montano1993 [528]
P(x) that will be R(x) - C(x):

Note the use of parentheses! Without them we would not realize that both the 21 and the 98 should be subtracted.
Now that we have our profit function, we can see that:<span>Its graph will be a parabola because of the squared term.The parabola will open downward because of the negative coefficient, -2, in front of the squared term.The highest point (which would be the maximum profit) on the downward parabola would be the vertex of the parabola.</span>From the above we now know that we want to find the vertex of the profit parabola.

The x coordinate of the vertex of a parabola will be -b/2a where the "b" is the coefficient of the x term and the "a" is the coefficient of the x squared term. From p(x)= -2^2 + 34x-98


we can see that your "a" is -2 and your "b" is 34. So the x coordinate of the vertex (which is where the maximum profit is) will be: -34/-2=17

5 0
4 years ago
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