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wolverine [178]
3 years ago
13

Two lines are guaranteed to be coplanar if they?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

If they lie in the same plane

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Determine whether 81a2 − 25z6 is a difference of two squares. If so, factor it. If not, explain why.
aev [14]

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Step-by-step explanation:

The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs

  • a² - b² is a difference of two squares
  • a² - b² = (a + b)(a - b)

∵ The binomial is 81 a² - 25 z^{6}

∵ \sqrt{81} = 9

∵ \sqrt{a^{2} } = a

∴ \sqrt{81a^{2}}=9a

∵ \sqrt{25} = 5

∵ \sqrt{z^{6}} = z³

∴ \sqrt{25z^{6}}=5z^{3}

- The two terms have square root

∵ The sign between them is (-)

∴ 81 a² - 25 z^{6}  is a difference of two squares

∵ Its factorization is two identical brackets with different

   middle signs

∵ 81 a² = 9a × 9a

∵ 25 z^{6} = 5z³ × 5z³

- The terms of the two brackets are 9a and 5z³

∴ 81 a² - 25 z^{6} = (9a + 5z³)(9a - 5z³)

81 a² - 25 z^{6} is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Learn more:

You can learn more about the difference of two squares in brainly.com/question/1414397

#LearnwithBrainly

7 0
3 years ago
Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requi
Inessa [10]

Answer:

22

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

6 0
2 years ago
Read 2 more answers
What roles did militias play in the American Revolution? Your answer:
Annette [7]

Hey there! I'm happy to help!

A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.

I hope that this helps! Have a wonderful day! :D

8 0
3 years ago
The CIA estimates the world population is growing at a rate of 1.167?% each year. The world population for 2007 was about 6.6 bi
JulijaS [17]
Answer:11.23 billion message me if you need explanation
4 0
3 years ago
Plz help me answer idknow
AleksandrR [38]

Let the number total slices = x

He ate (1/4) x

He has x - 1/4 x = 3/4 x slices left.

Each one of these slices is cut into 1/8s

T (total number of slices) = 8 * (3/4x)

T = (8*3/4) x

T = (24/4)x

T = 6x slices.


3 0
3 years ago
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