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Ksju [112]
3 years ago
12

Which shows the rational expression written using the least common denominator?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0

Answer:

(x + 1)/4x² + 4(x + 1)/4x²

Step-by-step explanation:

x+1/4x² + x+1/x²

The above can be simply as follow:

Find the least common multiple (LCM) of 4x² and x². The result is 4x²

Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:

(4x² ÷ 4x²) × (x + 1) = x + 1

(4x² ÷ x²) × (x + 1) = 4(x + 1)

x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²

= (x + 1)/4x² + 4(x + 1)/4x²

Therefore,

x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²

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The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB afte
OLEGan [10]

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size

5 0
2 years ago
What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
Elanso [62]

Answer:

The volume of a rectangular prism is 28\frac{7}{8}\ cm^{3}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=BHL

Convert the given dimensions to an improper fractions

B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm

H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm

L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm

substitute in the formula

V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}

Convert to mixed number

\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}

5 0
2 years ago
If n-2 = 1/16, then n could be
kobusy [5.1K]
N-2= 1/16
⇒ n= 1/16+ 2 (inverse operation)
⇒ n= 2+ 1/16
⇒ n= 2 1/16

Final answer: n= 2 1/16.
5 0
3 years ago
What is the following product? (1√2+√6)(√6- √10)
Sidana [21]
To multiply these, we use the FOIL method (first, outside, inside, last).  Also, 1√2 is equivalent to √2.  It's just like saying 1x is the same x.

Multiplying the first values will give you:

√2 * √6  =  √12  =  √4*3  =  √2*2*3  =  2√3

Multiplying the outside values will give you:

√2 * -√10  =  -√20  =  -√4*5  =  -√2*2*5  =  -2√5

Multiplying the inside values will give you:

√6 * √6  =  √36  =  6

Multiplying the last values will give you:

√6 * -√10  =  -√60  =  -√4*15  =  -2√15

Now you can combine all of the resulting values:

2√3 - 2√5 - 2√15 + 6

I believe this is the answer you're looking for.
4 0
3 years ago
Read 2 more answers
In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does George's birthday fall in 2025?
LuckyWell [14K]

Answer:

the Day falls one day after every year which means that this one will fall on a

Step-by-step explanation:

wedsnday

5 0
2 years ago
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