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
Lady bird [3.3K]
2 years ago
9

Help me pls it won't let me unselect the one I clicked on

Mathematics
1 answer:
zhenek [66]2 years ago
6 0
Its the one u selected lol
You might be interested in
Can someone help me do part two please? It’s very important send a picture or something. I don’t even care if you tell me the st
Nataly_w [17]
<h3>Explanation:</h3>

1. "Create your own circle on a complex plane."

The equation of a circle in the complex plane can be written a number of ways. For center c (a complex number) and radius r (a positive real number), one formula is ...

  |z-c| = r

If we let c = 2+i and r = 5, the equation becomes ...

  |z -(2+i)| = 5

For z = x + yi and |z| = √(x² +y²), this equation is equivalent to the Cartesian coordinate equation ...

  (x -2)² +(y -1)² = 5²

__

2. "Choose two end points of a diameter to prove the diameter and radius of the circle."

We don't know what "prove the diameter and radius" means. We can show that the chosen end points z₁ and z₂ are 10 units apart, and their midpoint is the center of the circle c.

For the end points of a diameter, we choose ...

  • z₁ = 5 +5i
  • z₂ = -1 -3i

The distance between these is ...

  |z₂ -z₁| = |(-1-5) +(-3-5)i| = |-6 -8i|

  = √((-6)² +(-8)²) = √100

  |z₂ -z₁| = 10 . . . . . . the diameter of a circle of radius 5

The midpoint of these two point should be the center of the circle.

  (z₁ +z₂)/2 = ((5 -1) +(5 -3)i)/2 = (4 +2i)/2 = 2 +i

  (z₁ +z₂)/2 = c . . . . . the center of the circle is the midpoint of the diameter

__₁₂₃₄

3. "Show how to determine the center of the circle."

As with any circle, the center is the <em>midpoint of any diameter</em> (demonstrated in question 2). It is also the point of intersection of the perpendicular bisectors of any chords, and it is equidistant from any points on the circle.

Any of these relations can be used to find the circle center, depending on the information you start with.

As an example. we can choose another point we know to be on the circle:

  z₄ = 6-2i

Using this point and the z₁ and z₂ above, we can write three equations in the "unknown" circle center (a +bi):

  • |z₁ - (a+bi)| = r
  • |z₂ - (a+bi)| = r
  • |z₄ - (a+bi)| = r

Using the formula for the square of the magnitude of a complex number, this becomes ...

  (5-a)² +(5-b)² = r² = 25 -10a +a² +25 -10b +b²

  (-1-a)² +(-3-b)² = r² = 1 +2a +a² +9 +6b +b²

  (6-a)² +(-2-b)² = r² = 36 -12a +a² +4 +4b +b²

Subtracting the first two equations from the third gives two linear equations in a and b:

  11 -2a -21 +14b = 0

  35 -14a -5 -2b = 0

Rearranging these to standard form, we get

  a -7b = -5

  7a +b = 15

Solving these by your favorite method gives ...

  a +bi = 2 +i = c . . . . the center of the circle

__

4. "Choose two points, one on the circle and the other not on the circle. Show, mathematically, how to determine whether or not the point is on the circle."

The points we choose are ...

  • z₃ = 3 -2i
  • z₄ = 6 -2i

We can show whether or not these are on the circle by seeing if they satisfy the equation of the circle.

  |z -c| = 5

For z₃: |(3 -2i) -(2 +i)| = √((3-2)² +(-2-i)²) = √(1+9) = √10 ≠ 5 . . . NOT on circle

For z₄: |(6 -2i) -(2 +i)| = √((6 -2)² +(2 -i)²) = √(16 +9) = √25 = 5 . . . IS on circle

4 0
3 years ago
Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many who
zlopas [31]
You have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
there for there are 4 whole 3/16 sections of the 11/12 board
3 0
3 years ago
Read 2 more answers
What times 5 equals 75
saveliy_v [14]
15 the answer is 15 because 15 x 5 = 75
5 0
2 years ago
Read 2 more answers
Put the following steps for executing a stock trade in order. What is the order? 2,4,1,3?
Temka [501]

Answer:

The answer would be 1,2,4,3

Step-by-step explanation:

I just took a quiz with this same question :)

4 0
3 years ago
Gift economies consist of situations were goods and services are exchanged without an expected or immediate return. 1) True 2) F
Liono4ka [1.6K]

Answer:

False


Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
Other questions:
  • The length of one leg of a right triangle is 8 centimeters shorter than the
    10·1 answer
  • Sheila is going to divide a 38-inch piece of ribbon into 5 equal pieces. She says each piece
    9·1 answer
  • What is 96-6xsquared
    14·1 answer
  • A parabola passes through the points (0,-2) (2,-6) and (5,3) what is the equation of the parabola in standard form?
    14·1 answer
  • Need answer for them
    6·1 answer
  • Which choice is equivalent to the product below when x is greater than or equal to 0
    13·1 answer
  • Write in point-slope form an equation for the line through
    12·1 answer
  • Miles is putting a fence around his garden. The total area of the garden is 4,864 square feet. The length of the garden is 152 f
    8·1 answer
  • In a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round and so on. How many
    12·1 answer
  • A sticker company shipped a total of 289,005 stickers last month. This month, the company shipped 338,486 stickers. Estimate the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!