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
Anna007 [38]
2 years ago
15

Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

Mathematics
1 answer:
steposvetlana [31]2 years ago
3 0

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given  Z₁ = 9 - 9 i    and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A =  Z₁ = x₁ +i y₁ = 9 - 9 i and

    B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

     (x₂, y₂) = (10, -9)

<u>Step(ii)</u>:-

<em>The distance between the two points are </em>

    A B   =   \sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2}    }

    A B =   \sqrt{(10 - 1)^{2}+(-9 - (-9))^{2}    }

   AB   = \sqrt{(9)^{2} +(-9+9)^{2} }

 <em> AB    =  √81 = 9</em>

<u><em>Conclusion:-</em></u>

The distance between the two given complex numbers = 9

<u><em></em></u>

You might be interested in
2/3 and 5/6 common denominator
m_a_m_a [10]
The common denominator would be 6. Since, the least common multiple of 3 and 6 is 6.
3:
3, 6, 9
6:
6, 12, 18
Least common multiple is 6
7 0
3 years ago
Quetion to represent each problem the sum of 15 and six times a number tea is 80 One what is the number
andrew-mc [135]

Answer: 11

Step-by-step explanation: The sum of 15 and six times t will be 15 + 6t = 81.

Now, you subtract 15 from both sides to isolate the constants from the variables on the left side and on the other side and you will end up with 6t = 66. Then, you divide 6 from both sides to finally isolate the numbers from the variable and 66 divided by 6 would equal 11


Hope this Helps :)


6 0
3 years ago
| 1. Write the list of numbers in ascending order.<br> &amp;, 12%, 0.13, 1/8, )<br> 128/1,000)
Aleks04 [339]

Answer:

12%, 1/8, 128/1,000, 0.13

Step-by-step explanation:

12% = .12

1/8 = .125

128/1000 = .128

0.13

8 0
3 years ago
In Nadias DVD collection she has eight action DVDs 12 comedy DVDs seven romance DVDs and three science fiction DVDs what percent
Evgesh-ka [11]

Please state the full question what percent of what DVD in her collection we dont have enough information to give you an answer, I will just list all the possible answers,

8+12+7+3 =30

Possible answers

Action = 8/30 = 26% or 27% depending if you are rounding

Comedy = 12/30 = 40%

Romance = 7/30 = 23%

Science Fiction = 3/30 = 10%

7 0
3 years ago
PLEASE HELP I REALLY NEED THISSS
Anton [14]
Your answer is d b c
3 0
3 years ago
Read 2 more answers
Other questions:
  • Julie has the three segments shown in the graph. Can she make a triangle with these segments.
    15·2 answers
  • I need help with #5
    5·1 answer
  • What is the volume of this square pyramid? 1296 cm³ 1620 cm³ 3888 cm³ 11,664 cm³ A square pyramid with height of twelve centimet
    12·1 answer
  • Which set of side measurements could be a triangle? Select all that apply.
    15·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    7·2 answers
  • I do not know the answer someone help me please!
    8·1 answer
  • John is buying food at the grocery store. He has made a list of 90 items that he needs to buy. He has bought 1/6 of the items. H
    11·1 answer
  • 2. A painting is sold for $1,400, and its value
    12·1 answer
  • At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least o
    6·1 answer
  • Use the function f (x) = -2x4 + 3x) – 4x+ 9x2 + 2x – 5 to complete these sentences.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!