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Vikentia [17]
3 years ago
11

What gcf of the numerator and denominator in the following fraction? 21m^2n/ 28mn^2

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

21m^2n=3\cdot\boxed{7}\cdot\boxed{m}\cdot m\cdot\boxed{n}\\\\28mn^2=2\cdot2\cdot\boxed{7}\cdot\boxed{m}\cdot\boxed{n}\cdot n\\\\GCF(21m^2n,\ 28mn^2)=\boxed{7}\cdot\boxed{m}\cdot\boxed{n}=7mn\\-------------------------\\\\\dfrac{21m^2n}{28mn^2}=\dfrac{7mn\cdot 3m}{7mn\cdot4n}=\dfrac{3m}{4n}

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Please help as soon as possible 50 points
Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

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x(x+3)

8 0
2 years ago
Read 2 more answers
What is the y-intercept of the graph of x - 8 = y-(-5)?
damaskus [11]

Answer:

A. -13

Step-by-step explanation:

y - (-5) is the same as y + 5

x - 8 = y + 5; you then subtract 5 from both sides

x - 13 = y

4 0
2 years ago
What is the domain of the function y =<br> x +4?
Sever21 [200]

all real numbers is the domain of the function y=x+4

8 0
3 years ago
Miles is saving to buy a new car. He currently has $600 in his savings account. He plans on depositing $200 a month until he has
Marizza181 [45]

Answer:

7 months

Step-by-step explanation:

He plans on depositing $200 every month into the savings account that already has $600 in it.

We can represent the amount of money he will have after a certain number of months (x) as:

A = 600 + 200x

He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:

2000 = 600 + 200x

200x = 2000 - 600

200x = 1400

x = 1400/200 = 7 months

He needs to save for 7 months.

7 0
3 years ago
1. Subtract (7 – 19i) from (–6 + 12i). A. –13 – 31i B. –13 + 31i C. 13 – 31i D. 13 + 31i
pav-90 [236]

Answer:

Step-by-step explanation:

(-6+12i)-(7-19i)=

-6+12i-7+19i=

-13+31i

(b)

6 0
3 years ago
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