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
jasenka [17]
3 years ago
12

If a/\2+1/a/\2=11, then a+1/a=?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

\pm \sqrt{13}

Step-by-step explanation:

\bigg(a +  \frac{1}{a}  \bigg)^{2} =  {a}^{2}   +  \frac{1}{ {a}^{2} }  + 2 \times a \times  \frac{1}{a}  \\  \\ \bigg(a +  \frac{1}{a}  \bigg)^{2} = 11 + 2 \\  \\   \bigg(a +  \frac{1}{a}  \bigg)^{2} = 13 \\  \\  \bigg(a +  \frac{1}{a}  \bigg) =  \pm \sqrt{13}

You might be interested in
Which point is on the circle centered at the origin with a radius of 5 units?
Aleonysh [2.5K]

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

{x}^{2}  +  {y}^{2}  = 25

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

{2}^{2}  +  {y}^{2}  = 25 \\ 4 +  {y}^{2}  = 25 \\  {y}^{2}  = 25 - 4 \\ {y}^{2}  = 21

Take square root to get:

y =  \pm \sqrt{21}

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

3 0
3 years ago
Read 2 more answers
A high school sewing club has 11 members. In how many different ways can they choose a president and vice president?
lorasvet [3.4K]
Since the order matters  Person A and B can be chosen as AB (A pres B vice pres) or BA (B president  A Vice president)

When the order matters we are talking about permutations. How many permutations of 11 taken 2 at a time are there.
It can be written like this 11nPr 2
It means start at 11 and multiply by the next lower number 
11 x 10 = 110 ways they can choose.
Extension of the concept:
If there had been three positions President, Vice President, and Treasurer
then it would be 11nPr3  or 11 x 10 x 9
Once again the answer to your problem is 110.
6 0
4 years ago
Read 2 more answers
In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain w
Pachacha [2.7K]

Answer:

PA = XA

Step-by-step explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.

4 0
4 years ago
I need help : D pleasee answer
Blizzard [7]
There’s nothing showing up. I think you didn’t add a picture
4 0
3 years ago
Read 2 more answers
Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of mon
Lorico [155]

Answer:

Number of new weeks = 20 week

Step-by-step explanation:

Total money saves = $50 x 30

Total money saves = $1,500

Find:

Number of new week

Computation:

Total money saves = Number of money save per week x Number of new weeks

1,500 = 75 x Number of new weeks

Number of new weeks = 20 week

4 0
3 years ago
Other questions:
  • Evaluate the expression when y = 2. 4 + y + 7<br><br> A 13<br><br> B 15<br><br> C 18<br><br> D 22
    15·2 answers
  • Pleas help! I think its A but I'm not sure! 50 points
    7·2 answers
  • What is the solution set of this inequality
    12·2 answers
  • 2. Solve the following system of equations
    6·1 answer
  • Can angles that measure 60, 60 and 60 degrees form exactly one triangle, more than one triangle or no triangle? Why?
    5·1 answer
  • Hey can someone please check my work? I want to make sure I get it right. Thanks.
    6·1 answer
  • Find x, y and z<br><br> help i don’t know what to do, it’s the last question
    9·1 answer
  • Figure one and figure 2 are similar quadrilaterals. Which proportion must be true?
    11·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • What is the combined length of all the buttons longer than 1 inch?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!