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
myrzilka [38]
3 years ago
8

P and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

Option B is correct

Step-by-step explanation:

Given: \left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}

To find: interval on which \left | q \right | must fall

Solution:

\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)

\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)

Subtract (ii) from (i)

-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}

So, \left | q \right | must fall in interval [12\sqrt{3}-7\sqrt{2},\infty)

Therefore, option B is correct.

You might be interested in
The degree of polynomial is ?
seropon [69]
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
6 0
2 years ago
Plz help asap<br> thanks xoxoxoxoxox
Leona [35]
I cannot see a pictureesss
7 0
3 years ago
Read 2 more answers
What is the value of L-1.1)?<br> O —2<br> 0 -1<br> 0<br> O 1
Kazeer [188]

Answer:

I do not understand.

Step-by-step explanation:

Please add a picture of explain what it is you want help with.

At this moment I do not understand the question, I am sorry.

7 0
3 years ago
Read 2 more answers
I'm confused. Can someone help and also lmk how to work it out? :)
kvasek [131]

Answer:

£5

Step-by-step explanation:

5 boxes will cose 5 x 15.40 = 77 normally.

according to the table, he will get 6.5% discount.

6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

5 0
2 years ago
Read 2 more answers
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of
Vadim26 [7]
The cups needed was 4
5 0
3 years ago
Other questions:
  • work out the equation of the line which passes through the point(-1,2)and is parallel to the line y=x+4
    12·1 answer
  • The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
    8·1 answer
  • Help me I need answers?:
    12·1 answer
  • FREE BRAINLIEST!! ill also answer questions that you have posted if you answer these 2 questions correctly!! ((Answer both quest
    9·2 answers
  • Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
    11·1 answer
  • Need help on these math questions. please and thank u
    7·1 answer
  • Which of the following statements is TRUE about the relationship between the numerical values?
    15·1 answer
  • Please show the working and answer. you can take a picture for the working.
    9·1 answer
  • What is x 4x+2 plz help
    6·2 answers
  • Help! ASAP Giving brainly answer​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!