Answer:
The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)
Where [tex]i = \sqrt{-1}[/tex].
In addition, the distance from the origin is defined by the following Pythagorean identity:
[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
The following condition must be satisfied:
[tex]\|s\| = 2[/tex]
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)
The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
A complex number, written in rectangular form is
[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]
The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula
[tex]|z|=\sqrt{a^2+b^2}[/tex]
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
[tex]|z|=2[/tex]
thus, the set we are looking for is
[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
where [tex]\mathbb{C}[/tex] is the set of all complex numbers
Learn more about complex numbers here: https://brainly.com/question/12274048
could anyone help me with these two questions? I need the answer by November 4th
Answer:
Answer for question 2: A
Answer for question 3: -0.728
Find the value of x and y that satisfy both the inequalities x/5=y/3
, WHAT IS X? /=FRACTION
Answer:
X=5*y/3
Step-by-step explanation:
5 multiplay by y/3
Will the answer to this expression be POSITIVE or NEGATIVE?
- 1 - (-6.5)
Answer:
positive ans=5.5
hope it help u
A piggy bank has only nickels and dimes in it. There are 14 coins worth $0.95. How many nickels and dimes are in the bank?
Answer: 7 dimes 5 nickles
Step-by-step explanation:
I did the math
*HELP ME PLEASE* Consider the equation: 3x + 1 – 9 = 3(x + 2) + n.
Give a value of n so that the equation has no solutions.
Explain why you are correct.
Answer:
n = -14
Step-by-step explanation:
Let us try to solve this equation for n;
3x + 1 - 9 = 3(x + 2) + n
3x - 8 = 3x + 6 + n
3x - 3x -8 - 6 = n
-14 = n
The value of n = -14
This value is the value of the equation that will have no solution.
To know if we are correct, let us input this value into the expression
3x + 1 - 9 = 3(x + 2) + n
3x - 8 = 3x + 6 -14
Collect like terms;
3x - 3x = 8 + 6 - 14
0 = 0
PLEASEE HELPP IM SO STUPID IDK HOW TO SOLVE THIS ILL GIVE U POINTD AND BRAINLIEST PLEASEEEEEE
Maya needs 3/4 gallons of milk to make 12 smoothies. How much milk does she need to make 30 smoothies? Use at least two strategies to support your answer.
Answer:
3 gallons I am in math club believe it or not
Math 8 Review:Question 9
Brett works at a local pet store. When he works 5 hours he earns $25.
When he works 10 hours he earns $50. What is the rate per hour?
Select one:
O
$25 per hour
O
$10 per hour
$50 per hour
$5 per hour
Answer:
$5 per hour
Step-by-step explanation:
Just divide the amount that he earns by the price.
25/5=5
50/10=5
Brett is making $5 an hour.
A shipping company charges a $6.50 flat fee for a package, plus a fee based on the weight of the package. The
company charges $1.50 per pound, plus an additional $0.25 for every pound over 6 pounds.
Samuel plans on sending a package that is over 6 pounds. He has $26 to spend on shipping. What is the
maximum number of pounds that this package could be?
1. The cost of shipping 6 pounds is
2. The Maximum number of pounds is
Answer: The cost of shipping 6 pounds is $ 9.00
The maximum number of pounds he can ship is 74 pounds.
Step-by-step explanation:
To find the cost for the first 6 pounds, multiply $1.50 × 6 = $9.00
To find out how much more he can ship, subtract: $26 - $9 = $17
The number of pounds that can be shipped for $0.25 is 17 divided by .25
17/.25 = 68
The total maximum weight is 6 + 68 = 74 pounds.
Check: 6 pounds for $ 9.00 plus 68 pounds for $17.00
The money adds up to $26 and the weight adds up to 74 pounds.
Help me out with part 2 3 and 4 please
Answer:
sorry i don't remember but hope you find help
Christen returned an overdue book to the library. Her fine was the same as the amount on the following day.Out of the fines show below, which one would be closet
to the number of days overdue?
O 10
O 14
O 18
O 21
Answer:
21
Step-by-step explanation:
Ten bags of rice, each marked 5kg rice, actually contained the following weights of rice(in kg) : 5.04kg, 4.95kg, 4.97kg, 5.00kg,5.02kg, 5.05kg,
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Answer:
4.97kg, 5.00kg, 4.99kg and 5.00kg. Find the probability that any of these bags chosen at random contain less than 5kg of rice.
Step-by-step explanation:
Three fifths of the automobiles entering the city each morning will be parked in city parking lots. These cars fill 3654 parkin spaces. How many cars enter the city each morning?
[tex](x - 3)^{2} + 5 for x = 10[/tex]
Brainliest..? thx
What is (one-half, I StartFraction StartRoot 3 EndRoot Over 2 EndFraction) Superscript 5?
Negative one-half + I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
One-half + I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
The answer to this problem is : (D). One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Meaning of fractions, surds and iFractions is an arithemetic expression that display a number having a numerator and denominator
surds are the square roots of numbers that cannot be expressed into a simplified number.
I which means bar 1, is the imaginary unit or imaginary number.
In conclusion, the answer to the problem is, One-half minus I StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Learn more about fractions : https://brainly.com/question/78672
#SPJ2
Answer:
D. 1/2+i(sqrt3/2)
Step-by-step explanation:
edg 2023
5(3x – 1) – 3(5x - 1)
Step-by-step explanation:
[tex]\sf 5 (3x-1)-3 (5x-1)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 15x-5-15x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 15x-15x-5+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 0-5+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -5+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2 [/tex]
Solve the following inequality for m. Write your answer in simplest form.
10m -1 < 4m - 3
Answer:
m < -1/3
Step-by-step explanation:
10m - 1 < 4m - 3
Subtract 4m from both sides;
6m - 1 < -3
Add 1 to both sides;
6m < -2
Divide both sides by 6;
m < -1/3
Pls helppppppppppp!!!!!
WILL GIVE A LOT POINTS PLEASE HELP ASAP
Which of the following is equal to 3.8 x 8?
A. (3 x 8) (0.8 x 8)
B. (3 x 8) + (0.8 x 8)
C. (3 + 8) (0.8 + 8)
D. (3x 8) + (0.8 x 3)
Step-by-step explanation:
I think the answer is B why don't you use a calculator?
Answer:
The answer is c
Step-by-step explanation:
The answer is c beacuse i did the math/
Sameen bought 2 pounds of carrots for $6.60. At that rate, how much would 1 pound of carrots cost?
Answer:
$3.30
Step-by-step explanation:
Find all zeros please show work that’s all I need help with
Answer:
x=2, -2, i*sqrt2, -i*sqrt2
Step-by-step explanation:
Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is 0.05 x = 1 What was the price of the shoes?
A. $5.00
B. $10.00
C. $20.00
D. $25.00
Answer:
C
Step-by-step explanation:
it's c
have an nice day
Which only lists multiples of 18?
1,2,3,4,6,9,18
1,2,3,6,9, 18
18, 27, 36, 45
18, 36, 54, 72
Answer:
18, 36, 54, 72
Step-by-step explanation:
First list: Lists incorrect factorsSecond list: Lists correct factorsThird list: Lists incorrect multiplesFourth list: Lists correct multiplesI hope this helps!
Answer:
18, 36, 54, 72
Step-by-step explanation:
~-~
Listen, read the question, and choose the option with the correct answer.
Based on the audio, ¿qué es más « more » barato?
The table
The rug
The napkins
The pillow
Answer:
the table
Step-by-step explanation:
i know spanish
On the basis of the given audio, the cheapest item amongst the given options would be:
c) The Napkins
As per the description provided in the given audio, the item that carries the lowest value would be napkins. The reason behind this is that one can purchase a pack of napkins at a smaller value while the other items like a pillow, table, or rug, are comparatively higher.This leads the napkin to be the cheapest among the given options.Thus, option c is the correct answer.
Learn more about "Audio" here:
brainly.com/question/14760117
solve for x 3(-x-3)+x-3=26
Answer:
[tex]\boxed {x = -19}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]3(-x - 3) + x - 3 = 26[/tex]
-Use Distributive Property:
[tex]3(-x - 3) + x - 3 = 26[/tex]
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
-Combine both [tex]-9[/tex] and [tex]3[/tex]:
[tex]3(-x ) - 9 + x - 3 = 26[/tex]
[tex]3(-x ) - 12 + x = 26[/tex]
-Add [tex]12[/tex] to both sides:
[tex]3(-x ) - 12 + 12 + x = 26 + 12[/tex]
[tex]3(-x) + x = 38[/tex]
-Multiply the [tex]-1[/tex] by [tex]3[/tex]:
[tex]3(-x) + x = 38[/tex]
[tex]-3x + x = 38[/tex]
-Combine both the [tex]-3x[/tex] and [tex]x[/tex]:
[tex]-3x + x = 38[/tex]
[tex]-2x = 38[/tex]
-Divide both sides by [tex]-2[/tex]:
[tex]\frac{-2x}{-2} = \frac{38}{-2}[/tex]
[tex]\boxed {x = -19}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
When we have a problem with parenthesis we must use distributive property:
[tex]3[/tex] × [tex]-x-3[/tex]The [tex]3[/tex] cancels out, leaving [tex]-x[/tex]* [tex]3(-x)-9+x-3=26[/tex]
Subtract [tex]3[/tex] from [tex]-9[/tex]:
[tex]3-(-9)=-12[/tex]* [tex]3(-x)-12+x=26[/tex]
Add [tex]12[/tex] to both sides:
Since [tex]-12[/tex] is negative we do the opposite of what we see, so it cancels out. [tex]-12+12=[/tex] Cancels out[tex]26+12=38[/tex]* [tex]3(-x)+x=38[/tex]
Multiply [tex]3[/tex] and [tex]-1[/tex]:
In this case we have [tex]2[/tex] x's, so we need to get rid of one. We do this by turning [tex](-x)[/tex] into [tex]-1[/tex]. Then we multiply them together: [tex]3[/tex] × [tex]-1=-3[/tex]* [tex]-3x+x=38[/tex]
Combine like terms:
[tex]-3x+x=-2x[/tex]* [tex]-2x=38[/tex]
Divide to get [tex]x[/tex] alone:
Divide by [tex]-2[/tex] on each side by rule of opposites: [tex]-2x[/tex] ÷ [tex]-2=x[/tex] [tex]38[/tex] ÷ [tex]-2=-19[/tex][tex]\boxed{x=-19}[/tex]
______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}[/tex]
13. Find the midpoint of the line segment with the endpoints located at (10, 10) and (1, -1).
A. (5.5, 4.5)
B. (4.5, 5.5)
C. (-8, -12)
D. (10, 0)
Answer:
I'm pretty sure that the answer will be A
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Kim's paper airplane flew farther then 4 feet 7 times.
Step-by-step explanation:
Answer:
7 times
Step-by-step explanation:
;-;" welp... umm my question is in da pic
Answer:
Step-by-step explanation:
10 to the power 2 is 100. So just multiply 100 x 75 and you get 7500.
So your answer is 7500 pounds of food in 100 days
Can I have brainlyist?
Hope it helps :D
You buy a 5-pound bag of sugar. What is its mass in grams?
Answer: 2267.96 grams.
Find the slope of the line that passes through the points
(0,-3) and (4, 5).
m =
Help me plz
Please help if you can!
Answer:
5*5
Step-by-step explanation:
that would be the easy way
Answer: 12.5 square inches
Step-by-step explanation:
The equation for the area of a triangle is A = bh/2
The base and height are both 5, so its 5×5 divided by 2
25/2 = 12.5 or 12 1/2
Area is always square units, so use square inches
The "ramp" is the hypotenuse of the triangle. It's like they want to know how much they need to cover the side.
The measures of an exterior angle and the adjacent interior angle add up to 360° because they form a linear pair.
A. True
B. False