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
Nadusha1986 [10]
4 years ago
14

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.

5/5+√10x

Mathematics
1 answer:
Slav-nsk [51]4 years ago
8 0

Answer:

The equivalent fraction is:   \frac{5-\sqrt{10x} }{5-2x}  }

which agrees with the second answer in the list of options

Step-by-step explanation:

Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:  

5-\sqrt{10\,x}

Therefore we have:

\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)}  }=\frac{5-\sqrt{10x} }{5-2x}  }

Then this is the equivalent rationalized expression:

\frac{5-\sqrt{10x} }{5-2x}  }

You might be interested in
Cheat with me on a test again ;)))
UNO [17]

Answer:

WHY

Step-by-step explanation:

thats sus

4 0
3 years ago
Read 2 more answers
How would a vertical line test that a circle is not function?
AleksAgata [21]

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function

5 0
3 years ago
I added the screenshot of the question if you could let me know the answer and how u got it please and thank you.
jeka57 [31]

The percent it needs to.grow each year is.4 percent because the investment wants.to.increase by factor.of.5. in 20 years. 20 divided by 5 would 4 percent each year.

5 0
3 years ago
Hannah made 0.7 of her free throws in a basketball game Abra made 9/10 of her free throws. Denna made 3/4 of her free throws. wh
ycow [4]
Change all the given numbers to decimals first. The larger number of the 3 is your answer. Let me know what you get
3 0
3 years ago
Read 2 more answers
You have taken up gardening for relaxation and have decided to fence in your new rectangular shaped masterpiece. The length of t
sineoko [7]

Answer:

Step-by-step explanation:

It appears i cant answer your question but what i can do is provide this paragraph as a trade for points. Appreciate your help. :)

3 0
4 years ago
Other questions:
  • What is the square root of 64
    8·1 answer
  • It keeps saying my answer is wrong
    15·1 answer
  • A recipe calls for 1 3/4 cups of bread flour and 1 2/3 cups of whole wheat flour. what is the total amount of flour used in the
    13·1 answer
  • If you answered 65 questions correct on a 75 question test, what is your score?
    14·1 answer
  • Two angles and a non included side of one triangle must be congruent to two angles and the corresponding non included side of th
    12·2 answers
  • Which expression results in a sum or difference of<br> the answer choices are
    6·2 answers
  • Please answer fast and clear! thanks! ;)
    13·1 answer
  • A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. How many flavors ha
    13·2 answers
  • 3. Seth uses a bowl to fill a container with soil. The
    15·1 answer
  • -5+7=7+-5 is this number sentence true or false
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!