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
harina [27]
2 years ago
14

What is true about the complex number -5 - 5i? A. The modulus is 5√2. B. It lies in quadrant 3. C. The modulus is 5. D. It lies

in quadrant 2.
Mathematics
1 answer:
vladimir1956 [14]2 years ago
8 0

Answer:

A. The modulus is 5√2.

B. It lies in quadrant 3

Step-by-step explanation:

Given a complex value z = x = iy

The modulus is expressed as;

|z| = √x²+y²

Given the complex number z = -5 - 5i

|z| = √(-5)²+(-5)²

|z| = √25+25

|z| = √50

|z| = √25 * √2

|z| = 5√2

For the argument;

theta = arctan(-5/-5)

theta = arctan 1

theta = 45degrees

since tan is positive in the third quadrant, hence it lies in quadrant 3

You might be interested in
A fish tank has 10 goldfish, 6 tetras, 4 snails, and 2 platies. What is the ratio of tetras to platies?
Nat2105 [25]

Answer:

6:2

Step-by-step explanation:

ummmmmm I'm done it's just that I can't do 20 words

3 0
3 years ago
Please help me solve this <br> 4(x-1)
JulijaS [17]
Simply multiply 4 for the terms in the parenthesis

4x-4
7 0
3 years ago
Read 2 more answers
-24 = -3w +21 what is w?
yuradex [85]

Answer:

w=15

Step-by-step explanation:

7 0
3 years ago
Last year 500 people attended a concert this year 900 people attended what was the percent increase in attendance from last year
IRISSAK [1]

Answer:

80

Step-by-step explanation:

500 to 900? = 80.

6 0
3 years ago
If m + n = 7 and 2n - 3m = 6, what is the value of 3n - 2m ?
S_A_V [24]
Since m + n = 7 we know m = 7-n. So now we have 2n - 3(7-n) = 6. From this we get n = -3. So now we know m - 3 = 7 so m = 10. So now we have 3(-3) + 2(10) = ? and this comes out as 11
8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 9+10 as a normal problem??
    15·2 answers
  • The sum of two integers is 8 and their product is -20.<br>What are the integers?​
    15·1 answer
  • What is 9xy+x+2+x+y+xy+4
    13·2 answers
  • Name at least one alternate option to establishing credit if you are unable to get a credit card yet.
    8·1 answer
  • N. Section 2.2<br> Find the difference. Write the difference in lowest terms.<br> 8 1/3 - 5=
    10·1 answer
  • A pack of gum costs 50 cents. That is 4 cents less than four times what the pack cost 15 years ago.
    8·1 answer
  • What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
    6·1 answer
  • In a rectangle FGHI, diagonals FH and GI intersect at E<br> What is the length of FH?
    10·1 answer
  • May someone please tell me the answer
    9·1 answer
  • Which statement is true?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!