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
romanna [79]
3 years ago
12

Find the distance between 2-3i And 9+21i

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

2 - 3i is just another of writing (2, -3) in the cartesian plane, the 2-3i however is using the "imaginary axis" for the imaginary plane, is all however the imaginary axis is simply the equivalent of the y-axis.  Likewise 9+21i is just (9,21), so let's just use the distance formula.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{21})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[9-2]^2+[21-(-3)]^2}\implies d=\sqrt{(9-2)^2+(21+3)^2} \\\\\\ d=\sqrt{7^2+24^2}\implies d=\sqrt{49+576}\implies d=\sqrt{625}\implies d=25

You might be interested in
R+2r=105 what is answer
Alik [6]

Answer:

If you're trying to solve for r. r=35

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

r+2r=105

(r+2r)=105(Combine Like Terms)

3r=105

3r=105

Step 2: Divide both sides by 3.

3r/3 = 105/3

r=35

8 0
2 years ago
28 6500 as a decimal
algol [13]

Answer:

.0043076923076923

Step-by-step explanation:

7 0
2 years ago
Help with number 5 please
Goryan [66]

Answer:

22,5 km

Step-by-step explanation:

6 0
3 years ago
List the steps to calculate the slope/rate of change using a calculator.
andrezito [222]
Is this what you’re talking about

4 0
2 years ago
Please can someone help me?
Feliz [49]

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

7 0
3 years ago
Other questions:
  • (y4 – y3 + 2y2 + y – 1) ÷ (y3 + 1)
    5·1 answer
  • What is the range of the following set of data: 12, -2, 9, 3, 2.4, 7.1, 11?
    12·2 answers
  • How many ways can we list the names Bobby, Billy, Mickey, Sally, Betty, Jimmy, Mary, and Fred?
    12·1 answer
  • Please help me with this :)
    8·1 answer
  • 63/4 as a mixed number
    15·1 answer
  • (X+Y+2)(y+1)
    15·1 answer
  • What is the value of 234÷34 ?
    11·1 answer
  • I NEED HELP lol
    15·1 answer
  • I need this for homework plz help me.
    12·2 answers
  • How many diagonals can be drawn in the shape below?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!