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Lady_Fox [76]
2 years ago
13

Using the distributive property to find the product (y−4x)(y2 4y 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x.

what is the value of a in the polynomial? 4 8 16 32
Mathematics
1 answer:
torisob [31]2 years ago
3 0

The product  (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

<h3>What is distributive property?</h3>

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\

now put the values of w in the equation

(y-4x)y^2 + (y-4x)4y +  (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\

Here the value of a is 16.

Learn more about the distributive property:

brainly.com/question/26207297

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The answer to this question is - 3
8 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
jonny [76]
First, we find the slope of the given line.

<span>3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)     <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

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</span>
8 0
3 years ago
What percent of 80 is 36?
Helen [10]
45% :)
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7 0
3 years ago
Rewrite the expression using only positive integer exponents.
Andrews [41]

Answer:

So we got:

\left(m^{\frac{2}{3}}n^{\frac{-1}{3}}\right)^6

m^4\left(n^{\frac{-1}{3}}\right)^6\\

More attention for (n^{\frac{-1}{3}}\right))^6\\

n^{-2}

\frac{1}{n^2}

Join:

m^4\frac{1}{n^2}

\frac{1\cdot \:m^4}{n^2}\\\frac{m^4}{n^2}

Therefore, the answer is \frac{m^4}{n^2} , letter A

3 0
3 years ago
7. Solve for b.<br> b<br> 26°
Genrish500 [490]

Answer:

64°

Step-by-step explanation:

We know that a right angle is 90°

so we do 90° - 26° = 64°

6 0
2 years ago
Read 2 more answers
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