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777dan777 [17]
2 years ago
6

Find the H.C.F. of the following expressions:36(x³+x²y-12xy²), 54(x³y+4x³y²-21xy) ​

Mathematics
1 answer:
almond37 [142]2 years ago
3 0

Answer:

  18x

Step-by-step explanation:

The HCF is the highest factor common to both expressions. We can find it by factoring both expressions and identifying common factors.

<h3>Factorization</h3>

  36(x³+x²y-12xy²) = 18x·2·(x +4y)(x -3y)

  54(x³y+4x³y²-21xy) = 18x·3y·(x +7)(x -3)

The highest common factor is 18x.

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Two lions, Fluffy and Fireball, met at the zoo. Fluffy's tail is 1\dfrac{1}{3}1 3 1 ​ 1, start fraction, 1, divided by, 3, end f
maks197457 [2]

Answer: Fluffy's tail  is \dfrac1{12} m longer than Fireball's tail.

Step-by-step explanation:

Length of Fluffy's tail = 1\dfrac13 m =\dfrac43 m

Length of Fireball's tail = 1\dfrac14 m =\dfrac54 m

Difference = Length of Fluffy's tail - Length of Fireball's tail

=\dfrac43-\dfrac54=\dfrac{4\times4-5\times3}{3\times4}\\\\=\dfrac{16-15}{12}\\\\=\dfrac1{12}

Hence, Fluffy's tail  is \dfrac1{12} m longer than Fireball's tail.

8 0
3 years ago
Two-Step Equations
bulgar [2K]
<span>2x - 12 = 14

Add 12 to both sides of the = sign to get rid of the "-12".

</span><span>2x - 12 <span>+ 12 </span>= 14 <span>+ 12</span>
2x = 26

Now divide both sides by 2 to isolate the x
</span><span>
2x / 2 = 26 / 2
x = 13.

The solution is x = 13.

Hope this helps!

Let me know if there's anything you're still confused about and I'll try to help you out.

Solving for x like this is definitely something you want to master and be able to do on your own, because you'll be doing it in future math.
</span>
7 0
3 years ago
Question is in the pictures
SIZIF [17.4K]

360 /12 = 30

Each 5 minutes is 30 degrees

2*pi/12 = pi/6

each 5 minutes is pi/6 degrees


pi/3 = 2*pi/6 = 2 * pi/6  = 2* 5 minute = 10 minutes  

 the minute hand moves from 4 to 6


2 * pi/3 = 2 * (2*pi/6) = 4 *(pi/6) = 4 * 5 minutes = 20 minutes

The minute hand moves from 3 to 7


5 * pi/6 = 5 * 5 minutes = 25 minutes

the minute hand moves from 5 to 10


7 * pi/6 = 7 * 5 minutes = 35 minutes

the minute hand moves from 2 to 9


6 0
3 years ago
Identify the domain of each
pav-90 [236]
There is no question or picture
4 0
3 years ago
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