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Leto [7]
3 years ago
8

Solve x2 + 12x = –20 by completing the square.

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:

i am pretty sure it is 168

Step-by-step explanation:

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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
Figure WXYZ is a parallelogram.
Viktor [21]
M<X=55° hope this helps
3 0
3 years ago
Read 2 more answers
What are the coordinates of the focus of the parabola shown below?
soldi70 [24.7K]
The coordinates are (-4,0),(0,-1)
8 0
3 years ago
Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for
MrRa [10]

Answer:

The second band

Step-by-step explanation:

50+20=70

20+25=45

5 0
2 years ago
75/5-(4-1)^2. PLZZZZ ANSWER THIS
tia_tia [17]
75/5-(4-1)^2

75 / 5 = 15

15-(4-1)^2

15-3^2

 answer: 6

3 0
3 years ago
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