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swat32
3 years ago
5

4. Find the slope of the line through the points (-6, 4) and (8,-4). m =​

Mathematics
2 answers:
atroni [7]3 years ago
5 0

Answer:

-4/7

Step-by-step explanation:

Aleksandr-060686 [28]3 years ago
4 0

Answer: Hope it helps :)

<u>-4</u>

7

Step-by-step explanation:

You have to use the formula <u>y2-y1</u>

                                                x2-x1

So <u>-4-4</u>

     8--6

-4-4= -8

8--6= 14 (two negative signs become a positive sign)

You have -8 over 14

If you simplify it's -4/7 or <u>-4</u>

                                         7

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The cost for a pack of 18 pencils is $3.24. Find the unit price in dollars per pencil. If necessary, round your answer to the ne
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Answer:

$0.18 per pencil.

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"Dollars per unit" means that you take the dollar amount and divide it by the amount of pencils, so you get 3.24/18, or .18.

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3 years ago
For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful
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3 years ago
Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
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Answer:

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