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Mashutka [201]
3 years ago
9

Which of the following is the correct factorization of the polynomial below? 8x3 + 64y3 A. (4x + 4y) (2x+8y) B. (2x + 4y)(4x2 -

8xy + 16y2) C. (4x + 2y)(4x2 - 2xy + 16y?) D. The polynomial is irreducible.​
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

B. (2x+4y)(4x2-8xy+16y2)

Step-by-step explanation:

hope this helps!

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Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0).
Mazyrski [523]

The slope of RS, RT, and ST are 1/2, -1 and -4 respectively

<h3>Triangle and slopes</h3>

Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST

The formula for calculating the distance is expressed as:

  • D = √(x2-x1)²+(y2-y1)²

For length RS:

D = √(4-3)²+(4-2)²

RS = √1+4
RS= √5

For length RS:

RT = √(0-3)²+(5-2)²

RT = √9+9
RT= 3√2

For length ST:

D = √(0-4)²+(5-4)²

ST = √16+1
ST= √17

Since all the sides are different, the triangle is a scalene triangle.

For the slope of the sides

For the side RS;

Slope = 4-3/4-2

Slope of RS = 1/2

For the side RT:

Slope = 0-3/5-2

Slope of RT = -3/3 = -1

For the side ST

Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4

Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively

Learn more on slope and distance here: brainly.com/question/2010229

6 0
2 years ago
Solve:<br><br> 7 = x + 12<br> A) -19 <br> B) -5 <br> C) 4 <br> D) 5
DaniilM [7]

<em><u>Hello, there! :)</u></em>

<u><em>Answer:</em></u>

<u><em>x=-5 </em></u>

<u><em>B. -5</em></u>

<u><em>*The answer must have a negative sign.*</em></u>

Step-by-step explanation:

Definition of subtraction property of equality.

Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

First, you had to switch sides.

x+12=7

Then, you subtract by 12 from both sides of an equation.

x+12-12=7-12

And finally, simplify or solve.

7-12=-5

x=-5

Hope this helps!

Thanks!

-Charlie

:)

8 0
3 years ago
What is the estimated number of hawks building a nest in the population?
Andrew [12]
12/72 is equivalent to 1/6

1/6 of the population are building a nest

1/6 of 10,800 is 10,800/6 which is 1,800
 about 1,800 are building a nest
5 0
3 years ago
Edgar Anderson earns $300 a week plus a 15% commission only on sales he makes after his first $1000 in sales. If Mr. Anderson’s
alexira [117]
His gross pay for that week is
<span>D. $575 </span>


6 0
3 years ago
Check all the true statements.
andrew-mc [135]

Answer:

The true statements are:

  • 2DE = AC
  • 1/2AC = DE
  • DE || AC  

Step-by-step explanation:

As we are given,

AD = 3.5 and BD = 3.5

CE = 3 and BE = 3

From the given triangle ΔABC, it is clear that:

The segment DE bisects the sides AB and BC, so

AD = BD

CE = BE

It is clear that the segment DE is parallel to the segment AC, thus

DE || AC  

As DE is the midsegment between AB and BC, so

2DE = AC

1/2AC = DE

Thus, the true statements are:

  • 2DE = AC
  • 1/2AC = DE
  • DE || AC  
5 0
3 years ago
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