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Jlenok [28]
3 years ago
15

Subtract the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow

ers of x. (-6.7x 2 + 2.3x y + 5.2) - (-14.9x 2 - 3.5x y + 7.1) please help i will mark the first person to answer this the brainliest 
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer: Simplified form is given by

8.2x^2+5.8xy-1.9

Step-by-step explanation:

Since we have given that

(-6.7x^2 + 2.3xy + 5.2) - (-14.9x^2 - 3.5xy + 7.1)

We just need to subtract the following polynomials:

First we gather the like terms together:

(-6.7x^2 + 2.3xy + 5.2) - (-14.9x^2 - 3.5xy + 7.1)\\\\=-6.7x^2+2.3xy+5.2+14.9x^2+3.5xy-7.1\\\\=-6.7x^2+14.9x^2+2.3xy+3.5xy+5.2-7.1\\\\=8.2x^2+5.8xy-1.9

Hence, simplified form is given by

8.2x^2+5.8xy-1.9

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Answer:

-2 I believe. because the 1st exponent would make it 9, and then you'd remove 2

Step-by-step explanation:

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7 0
2 years ago
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4 0
3 years ago
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cricket20 [7]

Answer:

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Step-by-step explanation:

5 0
2 years ago
How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?
Elina [12.6K]

Answer:      

The length of segment AC is two times the length of segment A'C'

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

A'C' ----> the length of segment A'C'

AC ----> the length of segment AC

so

z=\frac{A'C'}{AC}                        

we have that

z=50\%=50/100=\frac{1}{2} ---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero

substitute

\frac{1}{2}=\frac{A'C'}{AC}                

AC=2A'C'

therefore

The length of segment AC is two times the length of segment A'C'

5 0
2 years ago
Read 2 more answers
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