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
Kisachek [45]
3 years ago
6

What is the value of the modulus of 2−6i ? Answer as a simplified radical.

Mathematics
2 answers:
lana66690 [7]3 years ago
8 0

Answer:

2sqrt(10)

Step-by-step explanation:

| 2 - 6i |

sqrt[2² + (-6)²]

sqrt(4 + 36)

sqrt(40)

2sqrt(10)

sqrt: square root

Alja [10]3 years ago
6 0

Answer:

6.3244

Step-by-step explanation:

You might be interested in
Please help and thank you
qwelly [4]

when you multiply exponents, they add together and the base will remain the same:

-5+-2

=-7

therefore the answer is 8^-7

to get rid of the negative, flip the fraction so it becomes

1/8^7

7 0
3 years ago
If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}

Now rationalize the denominator by multiplying by 5-5i/5-5i

=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}

We are given

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

Now after solving we have:

\frac{1}{10}-\frac{i}{10}=a+bi

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0
3 years ago
What is trigonometry???????​
Elza [17]

Answer:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can you answer these questions?
vitfil [10]
Both of them are the first answer choice
4 0
3 years ago
Read 2 more answers
What type of solution would you get for 0=0<br> A. one solution<br> B. no solution<br> C.infinite
Otrada [13]
Answer: C. Infinite
Explanation: (To explain this answer, I'll use 1 = 1) When you get 1 = 1 after doing an equation, this mean the answer is "all real numbers", which is the same term as "infinite" because it will always be true. Therefore, 0 = 0 will always be a true statement.
8 0
2 years ago
Other questions:
  • Write an expression using (-1) as its base that will produce a positive number
    13·1 answer
  • How how do you how do you estimate 4.23-2.51
    11·2 answers
  • Please Help! 40 Points!
    13·1 answer
  • Factor. EXAMPLE: (a+2)(5-3)<br> 2n^2 +6n-108
    12·1 answer
  • Olive oil costs £3.50 for 1 litrehow much 200 ml of olive oil cost
    14·2 answers
  • A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
    6·2 answers
  • Someone pls help!!!???
    8·1 answer
  • A pair of dice is rolled 50 times. What is the probability that a sum of 6 is rolled exactly 6 times? Round your answer to the n
    7·1 answer
  • A clothing store is selling T-shirts at 2 for $15. If Michael purchases 8 T-shirts, how much money will he spend?
    7·1 answer
  • Jackson is making lemonade for a class party tablespoons of lemonade mix for 6 oz of water he wants to make four quarters of lem
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!