What is the conjugate of 21-20i

Answers

Answer 1
Hi, I found this on the internet. Hope it helps!
What Is The Conjugate Of 21-20i
Answer 2

The conjugate number of the complex number 21 - 20i will be 21 + 20i.

What is a conjugate of the complex number?

The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.

In mathematics, a complex number is a part of a number system that includes an element labeled I often known as the imaginary unit, and that extends the real numbers while satisfying the equation i2 = 1.

The given complex number is 21-20i. The conjugate complex number will be:-

21-20i = 21 + 20i

Therefore, the conjugate number of the complex number 21 - 20i will be 21 + 20i.

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Related Questions

**EXTRA POINTS**
Find the location of the point A after a translation of 9 units up

Answers

Answer:

(-1, 3)

because it goes up 9, -6+9 = 3

the original point is (-1, -6)

Answer:

it would be at. 3,-1 on the left top side on the plot

Is 2x+3y=24 proportional?​

Answers

Answer:

no

Step-by-step explanation:

if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero

A dice is rolled once What is the probability of NOT a 4? Your answer should be a fraction in simplest from

Answers

Answer would be 1/6 because it’s a random chance and there’s 6 sides

Gimme brainliest

I need help with this please.I don’t understand it.
1. Estimate how many minutes you talk on your cell phone every month________(you can randomly pick) 2. Which plan above do you think will result in the cheapest plan for you? Why do you think so?

Answers

Problem 1

This answer will vary from person to person. And as your teacher says, you can also randomly pick a value if you aren't sure.

Let's say you spend an hour each day talking on your phone. This means voice calls and not texting. Video calling could also be part of voice calling, though it will depend on how your cell phone company structures the cell phone plan.

Anyways, let's go with 1 hour. This converts to 60 minutes.

If you talk for 60 minutes per day, then you spend 60*30 = 1800 minutes per month talking on the phone. This is an average value. I'm using 30 days per month.

Answer: 1800 minutes

=====================================================

Problem 2

For each of the 6 companies, form their respective equations

x = number of minutes

y = total cost per month

We get the following equations for each company:

Rogers (all day plan): y = 0.25xFido: y = 0.20xTelus: y = 0.35xRogers (MY5 Prepaid): y = 0.25x+20Bell: y = 0.10x+10Public Mobile:  y = 0x+24 which simplifies to y = 24

With those 6 plans in mind, we will plug x = 1800 into each equation

Doing so leads to...

Rogers (all day plan): y = 0.25x = 0.25*1800 = 450Fido: y = 0.20x = 0.20*1800 = 360Telus: y = 0.35x = 0.35*1800 = 630Rogers (MY5 Prepaid): y = 0.25x+20 = 0.25*1800+20 = 470Bell: y = 0.10x+10 = 0.10*1800+10 = 190Public Mobile:  The monthly cost is $24 a month regardless of how many minutes you use. This is an unlimited minutes plan.

So we can see that clearly Public Mobile has the lowest cost per month at $24 a month. The cost per minute of $0 means that we have unlimited minutes here. The other costs are really high and far from $24. The next smallest value is $190, which is far from $24.

Is Public Mobile always the best choice? It depends. Refer to the chart below (attached image) and you'll see that the yellow cells are instances when Public Mobile isn't the cheapest option. However, note how small x has to be for this to occur and note how the yellow cells don't show up very often. Sure we could make more yellow cells pop up if we used even smaller x values, but at a certain point, it's likely not to be realistic. Why have a cell phone plan if you don't use the minutes to talk on it? Of course, everyone is different.

Anyway, for the x value chosen in problem 1, the Public Mobile plan is the cheapest option at $24 per month.

Answer: Public Mobile

what is the slope of 5,1 and 9,4

Answers

Answer:

slope=3/4

Step-by-step explanation:

4-1

/      = 3/4

9-5

What is the area of triangle ABC? Round to the nearest tenth of a square unit. Triangle A B C is shown. The length of side A C is 10 and the length of C B is 13. Angle B A C is 64 degrees and angle A C B is 72 degrees. Trigonometric area formula: Area = 54.9 square units 58.8 square units 61.8 square units 64.1 square units

Answers

The area of the given triangle ABC is 61.8 Square units.

What is the area of a triangle?

The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.

Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)

Hence,

area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)

Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8

Therefore, the area drawn by the given triangle ABC is 61.8 square units.

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The area of the triangle is A = 61.8 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now ,  length of side AC is 10 and the length of CB is 13.

Angle BAC is 64° and angle ACB is 72°

Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )

A =  1/2 ( 10 ) ( 13 ) sin 72°

A =  61.8 units²

Hence , the area is A = 61.8 units²

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Can someone help me please ill give brainy

Answers

Answer:

f(x)=(x-3<1 is a slope: 0 and the y-int is (0,1)

f(x)=-5>4 is a slope: 0 and the y-int is (0,4)

hope this helps!!:)

Step-by-step explanation:


[tex]solve \: this[/tex]
.....................​

Answers

Answer:

3 inches

Step-by-step explanation:

If we're gonna have some sort of increase each year, it's gonna pop up in our model attached to a variable, because it represents some kind of change, and variables can change. Looking at our equation, the 28.6 represents our starting point: the boy is 28.6 inches tall when he's 2 years old. The 3a term, then, represents the boy's increasing height each year. When he's 3 years old, a = 1, and so h = 3 + 28.6 = 31.6 inches. When he's 4, a = 2, and h = 3 + 31.6 = 34.6. The increase is always 3 inches.

A taxi driver charges $4.00 plus $2.00 per minute. How long was a ride that cost $16.00? Draw algebra tiles to model and solve the equation

Answers

Answer:

12

Step-by-step explanation:

Help Please & thanks!

Answers

Answer:

14 out of the total class of 35 are boys

Step-by-step explanation:

35 / 5 = 7

7 * 2 = 14

Ginny is making homemade pizzas for her family. The recipe makes 70 ounces of dough, but she made more that to ensure she had enough to feed everyone. She plans to freeze 28 ounces for next week, and the rest of the dough will be split evenly to make 3 pizzas. A. Write an inequality to represent the maximum weight of each pizza. Response area b. Each of Ginny's pizzas will weigh more than Response area ounces.

Answers

Answer:

14 ounce

Step-by-step explanation:

Given that:

Ounces of dough used in making recipe = 70 ounces

Number of ounces frozen = 28 ounces

Number of pizzas made from dough left = 3

Number of ounces left = total made - number frozen

Number of ounces left = 70 - 28 = 42

Weight of pizza made :

Number of ounces left / number of Pizzas made

42 / 3 = 14

Hence, maximum weight of each pizza made will weigh more than 14 ounces


1. The points on the number line represent the values of four different numbers.

Which point best represents the value of 3?

Help !!


Answers

Answer:

it’s point c

Step-by-step explanation:

it would be 1.7 and point C is closer to that than point B

Hence, point c represents 1.732.

What is line?

It's a long, thin mark formed with a pen, pencil, or other tool.

A line in geometry:

• isn't crooked (no bends),

• lacks thickness

• and goes on forever in both directions (infinitely).

It's a "Ray" with one end and a "Line Segment" with two ends.

Try shifting points A and B around.

How to solve?

We know that [tex]\sqrt{3} =1.7320[/tex]

Given point A,B,C,D hence clearly we can see that point c represents 1.7320...

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What is nearest $ 8.66 to nearest $

Answers

Answer:

$9 I think

Step-by-step explanation:

(hhhhhhhhaahahahahshshahahhaahaaaa

Answer:

$8.66 is rounded to $9

Step-by-step explanation:

When rounding a number, you round to the nearest whole number.

If the last digit is 5 or higher (5,6,7,8,9,) it rounds up

If the last digit is 4 or lower (1,2,3,4) it rounds down

Example:

$7.60 would be rounded to $8 because 6 is higher than 5, or in this case,  60 is higher than 50

$4.40 would be rounded to $4 because 4 is lower than 5, or in this case,  40 is lower than 50

Help me with this pls

Answers

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

the diameter would be 6 I think

PLEASE HELP AND HURRY

Answers

Answer:

4.75x=54+2.5x    x=24

Step-by-step explanation:

x=Number of games

4.75x=54+2.5x

Subtract 2.5x from both sides:

2.25x=54

Divide both sides by 2.25:

x=24

Cheddar cheese costs $3.45 per pound. Which equation best represents the total cost, c, of pounds, p, of cheddar cheese?

Answers

Answer:

c = 3.45 * p

Step-by-step explanation:

Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...

c = 3.45 * p

PLEASE HELP THIS IS TIMED!!!!!!!!!!!!!!!!!!!! A gumball machine had 78 gumballs. Each person who put a coin into the machine gets 3 gumballs. After a certain number of people got gumballs, there were 54 gumballs remaining. Estimate how many people got gumballs out of the machine.

Answers

Answer:

8 people got gumballs out of the machine.

Step-by-step explanation:

Given that:

Number of gumballs in machine = 78

Number of gumballs on each coin = 3

Number of gumballs left = 54

Let,

x be the number of people who put coin

Gumballs left = Total gumballs - 3*Number of people

54 = 78 - 3x

3x = 78 - 54

3x = 24

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]

Hence,

8 people got gumballs out of the machine.

Write the equation of the line that passes through the points (-7,0) and (-7, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

X= neg 7
Hope it helps

Find the solution set of the following equations:

2y=2x+7

X=y+2

Answers

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

[tex]\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}[/tex]

Multiply -y+x=2 by 2:  -2y+2x=4

[tex]\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}[/tex]

so adding

[tex]-2y+2x=4[/tex]

[tex]+[/tex]

[tex]\underline{2y-2x=7}[/tex]

[tex]0=11[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}[/tex]

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

Can you guys please help me

Answers

Answer:

540 degrees if that's what your looking for.

Step-by-step explanation:

A square always equals 360 degrees while a circle is the same thing. take the half of the circle to get 180 then add them together to get 540

Are you sure about the answer?

Answers

Answer:

I guess! Sorry, which answer are you talking about?

Step-by-step explanation:

Answer:

WHAT ANSWER WHERE IS IT

Step-by-step explanation:

How can you use the relationship between side lengths to determine when 3 lengths form a triangle
HELP PLEASEE

Answers

Answer:

x+4=y+x

Step-by-step explanation:

A factory makes 640brushes in 4 hours.Does the equation y=150x model the number of brushes made each hour?

Answers

Answer:

No it doesn't

Step-by-step explanation:

The equation we have is

Y = 150x

We have x = 4 hours

This is a simple question. We have to plug in the x = 4 in the equation to find out if we would have 640 brushes. If y = 640, then it models it. But if y is not equal to 640, it doesn't.

So let's solve this to see for ourselves.

Y = 150(x)

We put the value of x

Y = 150(4)

Y = 600

So we can see that the equation does not model the number of brushes made each hour. This equation models 600 brushes and not 640.

What is 9736 multiplied by 704

Answers

Answer:

9736 times 704 is 6854144

Answer:

6854144

explanation:

One of the tokens for a board game is a circle with a radius of 15 millimeters. Which measurement is closest to the circumference of the token in millimeters?

Answers

Answer:

The circumference of the circle is approximately 92 mm

Step-by-step explanation:

For us to be given the radius of the tokens it is safe for us to make the assumption that the token is circular in shape. Thus, we can solve the problem using various theories in circle geometry.

We will use the circumference equation to estimate the circumference of the circle, assuming the value of π is = 3.14

The circumference of a circle can be given as 2 X π X radius

This will be 2 X 3.142 X 15 = 94.247 ≈92mm

Therefore, the circumference of the circle is approximately 92 mm

I need help ASAP look at the picture for the problem. ​

Answers

Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

Find an ordered pair (x, y) that is a solution to the equation. -x+4y= 5​

Answers

The pair in the equation is (0,5)

Please help me with this homework

Answers

Answer:

4^6

Step-by-step explanation:

Answer:

THE ANSWER IS 4^6

Explanation:

=4^(2×3)

=4^6

please help me please will give brainliest to anyone who is good ​

Answers

Answer:

There is no association

Step-by-step explanation:

Points do not follow a trend

Please mark Brainliest

Evaluate the expression when c = 4, d = 1 and e = 10.

d+18

Answers

substitute 1 for d. d+18=1+18=19
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each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its historical average. which list shows water levels in order highest to lowest. :A 0.38 0.7 0.09 -0.41 -0.6B 0.7 0.38 0.09 -0.6 -0.41C 0.38 0.09 0.7 -0.6 -0.41D 0.7 0.38 0.09 -0.41 -0.6 A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches24 square inches72 square inches48 square inches HELP ASAPWhat is the scale factor? find what y and x equalsy=-2xy=2x-1 what was the purpose of the genocide convention need help which one is it a)x=7b)x=12c)x=20 What did the Supreme Court ruling in Brown vs. the Board of Education fail to make clear?why schools needed to change from segregated to integratedhow school segregation violated the U.S. Constitutionhow to ensure that the court's order was followedwhich schools needed to comply with the court's order When making inferences about the author's purpose, what should you use to support your analysis?I. evidence from the storyII. the length of time it took you to read the workIII. an explanation of how the evidence appliesO I and II onlyO I and III onlyO I onlyO II and III only Consider the line y=7x-5.Find the equation of the line that is perpendicular to this line and passes through the point (-3, 3).Find the equation of the line that is parallel to this line and passes through the point (-3, 3).Equation of perpendicular line: 0D=$2Equation of parallel line: Read this stanza from The Song of Wandering Aengus by William Butler Yeats.I went out to the hazel wood,Because a fire was in my head,And cut and peeled a hazel wand,And hooked a berry to a thread;And when white moths were on the wing,And moth-like stars were flickering out,I dropped the berry in a streamAnd caught a little silver trout.How does the phrase "little silver trout" affect the tone of the poem?It gives the poem a whimsical tone.It gives the poem a proud tone.It gives the poem a reflective tone.It gives the poem a nostalgic tone. The following information is taken from the operating section of the statement of cash flows (direct method) of Battery Builders, Inc.: Collections from customers $28,000 Payments to suppliers for purchases (13,000)Payments for operating expenses (9,000) Payments for income taxes (4,000)Cash provided by operating activities 2,000 The following information is obtained from the income statement of Battery Builders Net income $4,000Depreciation expense 4,000Gain on sale of equipment 2,000Write-off of intangibles 1,000 In addition, the following information is obtained from the comparative balance sheets of Battery Builders (decreases in parentheses) Change in accounts receivable $3,000 Change in inventory 3,000 Change in accounts payable 2,000Change in accrued payable (related to operating expense) (2,000)Change in deferred taxes payable 1,000 Required 1. Prepare a complete accrual-basis income statement for the current year 2. 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Who is being described in the first stanza of the poem?the Patriot ArmyBthe Loyalists fighting for the British Armythe foreign soldiers fighting for the British ArmyDGeneral Washington Which statement best describes the type of appeal, or argument, the author makes in paragraph 12?A)The author is presenting a logical argument for declaring a new planet.B)The author is making an emotional appeal for declaring a new planet.C)The author is launching an ad hominem attack on those against declaring a new planet.D)The author is relying on anecdotal evidence to support declaring a new planet. 12 If I had heard back then about the discovery of something at the edge of the solar system, I wouldnt have waited for a body of astronomers to tell me what it was. I would have immediately cut out a little disk of white paper and taped it to the poster of planets on my bedroom wall. 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