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kenny6666 [7]
3 years ago
8

9 | 20 + d and 20 ≤ 20 + d ≤ 29

Mathematics
2 answers:
Wewaii [24]3 years ago
6 0
The line means like equal to so it’s like 20 is greater than or equal to 20
fomenos3 years ago
3 0
The line means absolute value of one number.
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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
In AABC, EF | AB. What is the ratio of BC to FC?
lara31 [8.8K]

Answer:

$ \frac{\textbf{BC}}{\textbf{FC}}} = \frac{ \textbf{7 }}{\textbf{4}} $

Step-by-step explanation:

Given that EF ║ AB.

So, we have: $ \frac{   \textbf{CE}} {\textbf{EA}} = \frac{ \textbf{CF}} {\textbf{FB}} $

Also, $ \frac{ \textbf{AC}} {\textbf{CE}} = \frac{\textbf{CB}}{\textbf{CF}} $

Note that: AC = CE + EA =  3 + 4 = 7 and CE = 3

Therefore, $ \frac{CB}{CF} = \frac{7}{4} $

Hence, the answer.

8 0
3 years ago
The wholesale price for a of shoes is $7.50. A certain department store marks up the wholesale price by 50%. Find the price of t
morpeh [17]

Answer:

$11.25

Step-by-step explanation:

1.5×7.5=11.25

4 0
3 years ago
Rewrite the expression log(5) 7 using only the natural logarithm.
PSYCHO15rus [73]
Do you mean log(5)^7 ?
4 0
3 years ago
4. Which point is labeled at (-2, 3)?
melisa1 [442]

Answer:

G

Step-by-step explanation:

I hope this helps, have a great day:) God bless you!

8 0
3 years ago
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