1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mamaluj [8]
3 years ago
15

HELP WILL GIVE BRAINLESS Which choice is equivalent to the fraction below? (Hint: Rationalize the

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

C. \sqrt{x + 2}  -  \sqrt{x}

Step-by-step explanation:

\frac{2}{ \sqrt{x} +  \sqrt{x + 2}  } \\  \\  =   \frac{2}{ (\sqrt{x} +  \sqrt{x + 2})  } \times  \frac{(\sqrt{x}  -   \sqrt{x + 2})}{(\sqrt{x}  -   \sqrt{x + 2})}  \\  \\  =  \frac{2( \sqrt{x}  -  \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2}  -  {( \sqrt{x + 2} )}^{2} }  \\  \\  = \frac{2( \sqrt{x}  -  \sqrt{x + 2}) }{ x  -  {( x + 2)} }  \\  \\  = \frac{2( \sqrt{x}  -  \sqrt{x + 2}) }{ x  -   x  - 2 } \\  \\  = \frac{2( \sqrt{x}  -  \sqrt{x + 2}) }{  - 2 }  \\  \\  =  - ( \sqrt{x}  -  \sqrt{x + 2})  \\  \\  \frac{2}{ \sqrt{x} +  \sqrt{x + 2}  } =   \purple{ \bold{\sqrt{x + 2}  -  \sqrt{x} }}

You might be interested in
Which relation is a function?
sergejj [24]

To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.

The relation in the bottom right corner is the only relation that passes the vertical line test.

7 0
3 years ago
The function f(x) = 1.50x + 12.50 relates how much Kelsey pays for digital service, f(x), to the number of movies, x, she stream
Kobotan [32]
Hi there! f(18) makes the value of x 18 and x is the number of movies watched in 1 month. Therefore, A and C are eliminated because we’re talking 18 movies, not 18 months. B is also out, because Kelsey would pay more than $27 a month for the service, especially with the service fee. 18 * 1.50 is 27 and 27 + 12.50 is 39.50. Kelsey spends $39.50 a month watching 18 movies per month. The answer is D.
4 0
2 years ago
The United States government used to make coins of many different values
Papessa [141]

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

5 0
2 years ago
Find the difference: -7 -− (-2) =<br> A<br> 9<br><br> B<br> -9<br><br> C<br> 5<br><br> D<br> -5
AveGali [126]

Answer: B. −9

Step-by-step explanation: -7--(-2)

−7+−2

−9

8 0
3 years ago
A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she i
Kaylis [27]
Let's V the speed of the girl in step
v the speed of the escalator in step
L the length between ground and floor.

V*60+v*60=L ==> V+v=L/60
V*90-v*90=L ==> V-v=L/90
2V=L(3+2)/180
==>V=5L/360
Time to climb (in step) with v=0 (escalator standing still)
V*t=L==> t=L/V=L/(L*5/360)=72

The girl will count 72 steps.


8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you find the product when two exponents have the same exponent and different bases?
    5·1 answer
  • Rocco used these steps to solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?
    13·1 answer
  • Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he
    10·1 answer
  • Need help with algebra 2!
    5·1 answer
  • Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when musi
    5·1 answer
  • I need help with this question I'm in 9th grade​
    14·1 answer
  • Use the Substitution Method, what is the point of intersection for the following system:
    6·1 answer
  • The tax rate is 8.5%. What is the tax on $95 round to the nearest hundredth
    13·2 answers
  • When point J (-14,6) is rotated 180 degrees around the origin, what is the resulting point J'? a (14,-6) b (-14,6) c (14,6) d (-
    13·1 answer
  • Robert cuts a string that is 4 feet long into pieces that are each foot long. a. Complete the model to show 4 ÷2/6​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!