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
gavmur [86]
2 years ago
9

What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?

Mathematics
1 answer:
Semmy [17]2 years ago
5 0

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

You might be interested in
How do you solve this?
nalin [4]
So u have to add all the sides up.
which will give you 6 + 6√3 + 6 +6√3
because their opposite and parallel lengths and widths are equal
that gives you 12 + 12√3
so ans is 12m + 12√3m
7 0
3 years ago
The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Gennadij [26K]

Answer:

224 pages total

Step-by-step explanation:

To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.

7 0
3 years ago
Pls answer quickly. Thanks!
Gwar [14]

Answer:

the answer is D

Step-by-step explanation:


4 0
3 years ago
How many times 19 go into 36
Aneli [31]
36/19
=1.894736842 and it keeps going

Hope this helped and have a great day!
5 0
3 years ago
Read 2 more answers
Explain how you would solve for the value of x when you are given the solution to a function.
Svetlanka [38]

Answer:

Substitute

Step-by-step explanation:

Substitute the values given in the function

and you will get the answer.

P.s. It depends on the question

3 0
3 years ago
Other questions:
  • Solve the following equation for x.<br> 7x-3y=-13
    14·2 answers
  • Which statemate is not true
    10·1 answer
  • Given: Circle A externally tangent to Circle B.
    6·2 answers
  • A number is between 41 and 46 . it has prime factors of 2 and 11 what is the number ​
    5·1 answer
  • Write the following as an expression or equation <br> 10 less than the product of a number and four
    6·1 answer
  • Explain two ways you could solve 24=6(-3+x)
    14·2 answers
  • Write an equation for the line that passes through the points (-3,4) and (-4,6) in slope intercept form
    9·1 answer
  • Plz help!! Select the correct answer from each drop-down menu.
    9·1 answer
  • Alissa surveys a random sample of 50 students at her school about the country
    6·1 answer
  • Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. Find
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!