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Alex17521 [72]
3 years ago
7

For each expression, select all equivalent expressions from the list.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

A. 2 20x-8

B. 3 20y

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Could anyone help me with this question? Thank you!
shutvik [7]

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}

First, we can factor both the numerator and the denominator. This yields:

\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}

Cancel like terms:

\displaystyle =\frac{(n^2-6)}{(n^2-2)}

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

(n^2-2)(n^2-5)=0

Solve for n. By the zero product property:

n^2-2=0\text{ and } n^2-5=0

Therefore:

n^2=2\text{ and } n^2=5

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5

Therefore, our fully simplified expression is:

\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2

Hence, our answer is C!

4 0
2 years ago
How to graph the linear inequality
Paha777 [63]

Step-by-step explanation:

here I have done you can check it out

5 0
1 year ago
Find the measure of the angle indicated
Grace [21]

Answer:

86

Step-by-step explanation:

y + 28 + 58 = 180

y + 86 = 180

y = 180 - 86

y = 94

x + y = 180

x + 94 = 180

x = 180 - 94

x = 86

6 0
3 years ago
A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i
ss7ja [257]
The night of the building is 52ft
4 0
2 years ago
Read 2 more answers
How to answer because I struggle to answer
SpyIntel [72]

5: AA  47=47    36=36  similar

6: SSS   32/16 =2,  24/12 =2,  9/4.5 = 2  similar    

7: SAS  72/53= 1.3,  55=55, 48/12 = 4  not similar

8: SAS  45/15= 3,  54=54,  9/3=3  Similar

9.SAS  20/10 =2,  10/8 = 1.25  not similar

10.SAS  32/14= 2.29, 46=46,  12/7= 1.79  not similar


5 0
3 years ago
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