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mars1129 [50]
1 year ago
14

Find the greatest common factor of the following monomials. 28g^5h^2 12g^6h^5

Mathematics
1 answer:
Novosadov [1.4K]1 year ago
5 0

The GCF of these monomials i.e, 28g^5h^2 and 12g^6h^5 is 4h^2g^5

What is monomials?

Monomial expressions include only one non-zero term. Numbers, variables, or multiples of numbers and variables are all examples of monomials.

First take the coefficient ie, 28 and 12 to find the GCF

The GCF of 28 and 12 is 4

Now, find out the GCF of the variables for that you take the lowest exponent from both the variables g and h

for g variable it will be g^5 and,

for h variable it will be h^2

Therefore, the GCF of these monomials is 4h^2g^5

To read more about the monomials.

brainly.com/question/25870256

#SPJ13

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Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0
3 years ago
Read 2 more answers
What is the value of 0 in 302
vlada-n [284]
The answer is 10 because its in the tens place
4 0
3 years ago
. What is the solution to the equation –3.5(x + 12) = –2x + 18?
kotegsom [21]

Answer:

x=-4.36

     

Step-by-step explanation:

4 0
3 years ago
48. A map is drawn to a scale of 1cm to represent 50km. If the actual distance between two villages is 480km, what is the distan
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Set up a ratio:

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Cross multiply:

50x = 480

Divide both sides by 50:

X = 9.6

The distance on the map is 9.6 cm

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3 years ago
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The answer is 12, hope this helps

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