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
KATRIN_1 [288]
3 years ago
14

Simplify the following expression: |2+4i|

Mathematics
2 answers:
Damm [24]3 years ago
8 0

Answer:

\sqrt{20}

Step-by-step explanation:

This is a complex number expression, and you are asked to find the absolute value.

in a complex number, there are two parts, the real and the imaginary part.

in the question ; 2 = real part,   4 = imaginary part

based on the diagram, we will use Pythagoras theorem to solve for the hypotenuse which gives the absolute value of the complex number.

|2+4i|^{2} = 2^{2} + 4^{2}

                              = 4 + 16

                              = 20

  ;                |2+4i|   = \sqrt{20}

Eva8 [605]3 years ago
4 0
Use distance formula (Pythagorean theorem) to find the complex number's distance from zero. There is an imaginary axis and a real axis, and these behave very much like the regular x and y axes. √(2² + 4²) = √20 
The absolute value of 2 + 4i is √20
You might be interested in
If the length of gg is 18 units what is the value of x
kati45 [8]
Mi no espeak math,yo no comprende
3 0
3 years ago
What is the circumference of this circle? Use π ≈ 3.14. Round your answer to the nearest tenth of a centimeter.
nadezda [96]
We need to now the diameter or radius to find out the circumference.

R times 2 then multiply the product with 3.14
             or
D times 3.14

8 0
3 years ago
Shen exercises no less than 30 minutes per day.
solniwko [45]
T is greater then or equal to 30
8 0
2 years ago
Read 2 more answers
The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and
MAXImum [283]
In my opinion quality of A is greater.
4 0
3 years ago
A square pyramid has side length 9 in. and volume = 270 in^3. find the height.
aleksandrvk [35]

If the square pyramid has side length 9 inches and volume of 270 inches cube then by putting the values within the formula of volume height are going to be 10 inches.

Given Length and volume of a square pyramid are 9 inches and 270 inches cube. Square pyramid is the pyramid having square base. It is a right square pyramid.

We know that the amount of square pyramid is 1/3 *l^{2} *h

Put the values in formula to induce the values oh h.

Volume=1/3*9^{2}*h

270=1/3* 81*h

h=(270*3)/81

h=810/81

h=10

Hence the peak of the square pyramid having length 9 inches and volume of 270 inches cube is 10 inches.

Learn more about volume at brainly.com/question/1972490

#SPJ10

7 0
2 years ago
Other questions:
  • Combine like terms and solve equations<br> 5x+18-8x=33
    9·2 answers
  • A town has a population 2000 and grows 4.5% every year. What will be the population after 13 years to the nearest whole number
    5·1 answer
  • What is the surface area of a square pyraimd that is 5.95cm long and 5.1 cm wide
    11·1 answer
  • Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function? Determine whether 9 – 4(–x)2 is equiv
    9·2 answers
  • Which of the functions have period pi?
    15·1 answer
  • What is the difference between a linear pair and angles on a straight line ​
    13·1 answer
  • 9th grade math please help its urgenttt
    10·2 answers
  • -17+ 1/4 x + 1/4 x + 31 = 24
    12·1 answer
  • Identify the coefficient(s) and constant(s) in this expression. 9x - 8y + 6
    15·1 answer
  • Nicole took out a 30-year mortgage for $90,000 at 7.5%. How much is her monthly mortgage payment? I assume $675,000?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!