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irakobra [83]
2 years ago
13

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

Mathematics
1 answer:
kap26 [50]2 years ago
4 0
ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

(x+y)^8

The specific term of a binomial expansion can be determined using the formula,

T_{r+1}= nC_ra^{n-r}b^r
where

n=8,r=4,a=x,b=y

We substitute these values into the formula to get,

T_{4+1}= 8C_4x^{8-4}y^4

We simplify to get,

T_{5}= 70x^{4}y^4

Hence the coefficient is 70.
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Georgia ran a 5-kilometer race. How many meters did she run?
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Answer:

Georgia ran 5000 meters

Step-by-step explanation:

1 kilometer = 1000 meter

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There are 4 blue marbles, 8 red marbles and 5 green marbles. Write a part to whole ratio comparing green marbles.
fredd [130]

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5:17

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Please help me with this question. I will mark you brainliest. ​
solong [7]

<u>Answer:</u>

<em>Option D : $153</em>

<u>This is how I got that:</u>

9:30 AM to 1:15 PM = 3 hours and 45 minutes

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Mr. Anand is charged 36$. Remember it says that each additional hour <em>or part thereof, </em>so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is <u>$51 </u>

<u />

But Mr. Anand hired <em>three</em> boats so we simply times 51 by 3 and get our solution to the problem:

<u>Mr. Anand must pay $153 or Option D</u>

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<em>~That's All Folks~</em>

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4 0
2 years ago
Helpppppp plsssssssss
bekas [8.4K]

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}

<em>Now we can use property of radical  \sqrt{x}\sqrt{y}  =\sqrt{x*y}  to simplify:</em>

x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}

Correct answer is C

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3 years ago
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5(3​x​ + 7) = 20 – 2(​x​ + 1)
Temka [501]

the answer to this is x= -1

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2 years ago
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