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Tju [1.3M]
3 years ago
13

The coefficients in the expansion of (x + y)4

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

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A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is
Aleks [24]
<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}

:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

:\implies\sf\:H=150\sqrt{3}

:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

Hope it helps !

6 0
3 years ago
Is the relation a function? Why or why not?<br><br> {(–3, –2), (–1, 0), (1, 0), (5, –2)}
tankabanditka [31]

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

5 0
3 years ago
Hey loves, plz help if you have time:)
aksik [14]

Answer:

ΔABX and ΔEDX

Step-by-step explanation:

Given: AX ≅ EX

          BX ≅ DX

SAS implies a congruent relation with respect to Side-Angle-Side between the two required triangle.

AX ≅ EX (given)

BX ≅ DX (given)

<BXA ≅ <DXE (vertical opposite angles)

Therefore,

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3 0
3 years ago
HELP PLSS Solve: e2x + 5 = 4
labwork [276]

Answer: what is the e for

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Write a pair of equivalent expressions using distributive property
bulgar [2K]
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.


EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.

5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x

4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y

10(4x + 5)= (10*4x) + (10*5)= 40x + 50


ANSWER:
Only one pair below is needed for your answer.

5(2 + 3x)= 7 + 15x

4(2x + 4y)= 8x + 16y

10(4x + 5)= 40x + 50


Hope this helps! :)

7 0
3 years ago
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