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
Zinaida [17]
2 years ago
6

Please help me i don’t understand this question at all.

Mathematics
1 answer:
Maru [420]2 years ago
3 0

9514 1404 393

Answer:

  D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

  √12/(√3 +3) ≈ 3.4641/(1.7321 +3)

  = 3.4641/4.7321 ≈ 0.7321 = -1 +√3

__

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

  \displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}

_____

<em>Additional comment</em>

We "rationalize the denominator" in this way to take advantage of the relation ...

  (a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

You might be interested in
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If
nadezda [96]

the answer would be D

3 0
3 years ago
Read 2 more answers
Write the following in exponential form. 2��2��3��3��3��5
vampirchik [111]
Good luck I have no freaking
 clue

3 0
3 years ago
Convert 300 seconds to minutes. A) 5 minutes B) 15 minutes C) 30 minutes D) 150 minutes
Olin [163]
1 minute = 60 seconds

300 seconds / 60 seconds = 5 minutes
7 0
2 years ago
Read 2 more answers
ASAP!!! ILL GIVE BRAINLIEST !
Alex17521 [72]

Answer:

1) 60

2) 60

3) 119

4) 59

Step-by-step explanation:

All triangle angles add up to 180 degrees. All lines with transversals add to 180 degrees. Use these rules and the measurements given to solve.

3 0
2 years ago
Write an equation of the line.<br><br><br><br> y = _____<br><br><br><br> Use x as your variable.
muminat

Answer:

y= -2x+15

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • The coordinates of point you are given. the midpoint XY of is (3,-5). find the coordinates of point x.
    8·1 answer
  • Write the equation in standard form. Show Work!
    15·1 answer
  • Graph the function f(x)=32x−4. Use the line tool and select two points to graph.
    5·2 answers
  • I need help this math problem ​
    11·1 answer
  • The volume of a box is 10,000cm^3. The base of the box is 25 cm and 10 cm. How tall is the box?
    8·2 answers
  • Can someone answer this question please?
    12·1 answer
  • At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout
    5·1 answer
  • PLEASE HELP ME with this
    10·2 answers
  • Nooo Linkkks Ok sue i for got how to do perimeter!!!<br><br> umm so like ya know wanna help
    11·2 answers
  • A.match the expressions on the left with the with the illustrations on the right
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!