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Ymorist [56]
3 years ago
13

Which of the following expressions are equivalent to 2/x^4-y-^4 choose all that apply

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
7 0

Answer:

The answer are options

B: \frac{2}{x^2-y^2}*\frac{1}{x^2+y^2} and  

D: \frac{2}{(x^2)^2-(y^2)^2}

Step-by-step explanation:

As all the options are multiplication of fractions the option A cannot be an answer because the numerator multiplication is 1 and different to 2. In the case of option C, observe that if we multiply the denominators we have:

(x^2-y^2).(x^2-y^2) = (x^2-y^2)^2

As we know for the expanding of the square binomials:

(x^2-y^2)^2 = (x^2)^2 -2*x^2.y^2 + (y^2)^2 = x^4 +2*x^2y^2 + y^4

Which is different from the denominator compared:

x^4 -2*x^2.y^2+y^{4} \neq x^4 - y^4

Thus option B cannot be an answer either.

Noting that the denominator compared is a square of two difference by definition, therefore, can be written as:

x^4 - y^4 = (x^2 - y^2)(x^2 + y^2)

This results in the same denominator as option B. So, option B is a possible answer.

Finally, in the denominator of option D, we can solve the exponents of this factor.

(x^{2})^{2}-(y^{2})^{2}=x^4 - y^4

Which results in the same as the denominator compared, this let option D to be a possible answer.

Kaylis [27]3 years ago
3 0

Answer:

B and D.

Step-by-step explanation:

B.  The numerator = 2*1 = 2 and x^4 - y^4 = (x^2 - y^2)(x^2 + y^2).

D .  (x^2)^2  - (y^2)^2 = x^4 - y^4.

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kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

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3 0
3 years ago
I Need HelpAsap please I will mark you brainlist
Arada [10]

Answer:

a. 72 inches

b. 21.3 inches

Step-by-step explanation:

12:27

a. 32 inches in height

32/x = 12/27

Set these fractions equal to each other

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12 times 2.6(repeating decimal) equals 32

So to find the width do 2.666... time 27 and you get 72 inches.

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

b. 48 inches in width

Again set the fractions equal to each other.

x/48 = 12/27

48 divided by 27 equals 1.77777....

To get height, do 1.77777.... times 12 and you get 21.3333333

But since it is to the nearest tenth, you get 21.3 inches

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5 0
3 years ago
15 = x + 4<br> whats the answer
stealth61 [152]

Answer:

11

Step-by-step explanation:

15-4 = x

15-4 = 11

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4 0
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Identify the level of measurement of the​ data, and explain what is wrong with the given calculation. In a​ survey, the hair col
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Answer:

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Step-by-step explanation:

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In this case study, values were gotten for each categories which are brown hair, blonde hair, black hair and other hair colors. Thus, the level of measurements used is the nominal level of measurement.

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4 years ago
A printer can print 40 pages in 1.6 minutes
Rzqust [24]
Given:
40 pages in 1.6 minutes

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25 x 5 minutes = 125 pages

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4 0
4 years ago
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