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3 years ago

Using Pascal’s triangle, determine the first four terms of the expanded expression (x + y)4.

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

Answer:

$(x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4$

Step-by-step explanation:

Given is an algebraic expression raised to power 4

$(x+y)^4\\$

Let us write 4 rows of Pascal triangle

1 2 1

1 3 3 1

1 4 6 4 1

Thus we find coefficients as 1,4,6,4,1 and x will be having reduced powers while y will have increasing powers.

Hence expansion would be

$(x+y)^4 =x^4+4x^3y +6x^2y^2+4xy^3+y^4$

Deffense [45]3 years ago

4 0

X^4+ 4x^3y+6x^2y^2+4xy^3+y4

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Zina [86]

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

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3 years ago

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3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to

Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

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Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

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2 years ago

34.

OlgaM077 [116]

Answer:

Step-by-step explanation:

Let Naomi's wage = £ x

Reduction in wage = 10% of x = 0.1 *x = 0.1x

x - 0.1x = 252

0.9x = 252

x = 252/0.9

$= \dfrac{252*10}{0.9*10}=\dfrac{2520}{9}$

= £ 280

Weekly wage if she had received 10% pay increase

Increment = 10% of 280 = 0.1*280 = 28

Weekly wage after increment = 280 +28 = £ 308

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3 years ago

Solve for a: g=ca Urgent help please

777dan777 [17]

Answer:g/c

Step-by-step explanation:

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3 years ago

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Katen [24]

Answer:

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If we solve for the value of P we got:

$P= \frac{A}{(1+ \frac{r}{n})^{nt}}$

And replacing we got:

$P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078$

And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000

Step-by-step explanation:

For this case we can use the future value with compound interest given by:

$A = P (1+ \frac{r}{n})^{nt}$

Where:

If we solve for the value of P we got:

$P= \frac{A}{(1+ \frac{r}{n})^{nt}}$

And replacing we got:

$P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078$

And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000

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3 years ago