Mathematics College

Let x = 2 + 8i and xy = –2 + 26i. What is y?

Answer: 3+i

Answers

Answer 1

Answer:

3 + i

Step-by-step explanation:

Let X = 2 + 8i And Xy = 2 + 26i. What Is Y?Answer: 3+i

Answer 2

The solution for the complex function is equal to y = 3 + i.

What is a complex function?

The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.

The given complex functions are x = 2 + 8i and xy is -2+ 26i. The value of y will be calculated as below:-

xy = -2+ 26i.

y = ( -2+ 26i ) / x

y = ( -2+ 26i ) / ( 2 + 8i )

The value of the function will be calculated by rationalizing the function. When p and q are integers and q is not equal to zero, a result is a rational number, which has the form p/q. This ratio is between two integers.

The fundamental distinction between a fraction and a rational number is that fractions are always positive while rational numbers can be either positive or negative.

[tex]y =\dfrac{-2+26i}{2+8i} = \dfrac{-1+3i}{1+4i}[/tex]

[tex]y =\dfrac{-1+3i}{1+4i}\times \dfrac{1-4i}{1-4i}[/tex]

[tex]y = \dfrac{-1+4i+13i+52}{1+16}[/tex]

[tex]y = \dfrac{17i+51}{17}[/tex]

y = 3+i

Therefore, the solution for the complex function is equal to y = 3 + i.

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Related Questions

Water flows from a faucet at a constant rate. Kian
measures 8 cups of water in 6 seconds.
What is the constant of proportionality for the relationship of cups of water to minutes?

Answers

Answer:

4 cups every 3 second which means so 80 cuos in one minute

Step-by-step explanation:

hope this helps

The constant of proportionality for the relationship of cups of water to minutes is 80

Represent cups with c and time with t.

So, the given parameter can be represented using the following ratio

c : t = 8 : 6

Multiply by 10

c : t = 80 : 60

60 seconds = 1 minutes.

So, we have:

c : t = 80 : 1

Express as fractions

[tex]\mathbf{\frac ct = \frac{80}1}[/tex]

Multiply both sides by t

[tex]\mathbf{\frac ct = 80}[/tex]

Multiply both sides by 6

[tex]\mathbf{c = 80t}[/tex]

A proportional equation is represented as:

[tex]\mathbf{c= mt}[/tex]

Where m represents the constant of proportionality

By comparison:

[tex]\mathbf{m = 80}[/tex]

Hence, the constant of proportionality is 80

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Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.

Answers

Answer:

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

Select all intervals in which the function P(t) is decreasing

Answers

Answer:

we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Step-by-step explanation:

At x< 1, the function P(t) is decreasing

A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

538 = ? hundred + ? tens + ? ones

What is the answer?
(I am doing this cause my friend won't stop saying that 8 is in the tens

Answers

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

What is the solution to the equation 1.6 m - 4.8 = -1.6 m

Answers

Answer:

The answer is m= 1.5

Step-by-step explanation:

hope this helps

Problem:

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.

Answers

Answer:

The answer is: y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

Which graph represents the function f(x)=4/x
?

Answers

Answer:

graph shown below

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a sixth grade class the ratio of boys to girls is 4:3 if there are 35 students in the class how many girls are there

Answers

Answer:

The given ratio is 3:4 this means there are 7 people in each unit of this ratio.

It is stated that there are 35 students in total . That would mean that there are

5 Total sets of students in this class . When we multiply the numbers in our starting ratio by this multiple of 5 , our ratio now becomes 15 : 20

15 and 20 do indeed add up to 35 … But , our question wants to know how many more GIRLS are in the class . Boys were calculated to be 15 in number .

Girls were calculated to be 20 in number .

We now know there were 5 more girls than boys in that class ..

5 is your answer .

1.3K views

Vivek Sharma

Answered January 9, 2020

total number of student in class=35

let the number of boys be 3x

let the number of girls be 4x

so therefore 3x+4x=35 =>7x=35 =>x=5

so therefore number of boys in class is 3x=>3(5)=15

and number of girls in class is 4x=>4(5)=20

so there are 20–15=5 more girls in class than boys.

5.3K viewsView 1 Upvoter

Ashis Ghosh, former Retired officer at State Bank of India

Answered April 8, 2019 · Author has 4.4K answers and 931.6K answer views

Let the number boys in the class be b. So b/(35-b)=3:4, or 105-3b=4b, or 7b=105, or b=15. The number of girls in the class is 35-15=20 20-15=5

Ans: there are 5 more girls than the number of boys in the class.

576 viewsView 1 Upvoter

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Related Questions

The ratio of boys to girls in a class is 3:2, if there are 12 girls, how many boys are there?

Step-by-step explanation:

Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3

Answers

Answer:

Step-by-step explanation:

Select the correct answer.

What is the sum of -65 and 6 4/5?
A. 12 4/5
B.29/5
C.0
D. – 12 4/5

Answers

Answer:

a i think not sure sorry

There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink

Answers

Answer:

she drank a total of 87.5 calories

Step-by-step explanation:

you divide 210 by 12, and multiply by 5! :)

Answer:

87.5

Step-by-step explanation:

calories per oz is 210/12=17.5 then 5x17.5=87.5

Is is 24, 15, 23 or 33

Answers

Answer:

Step-by-step explanation:

What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4

Answers

Answer:

The answer should be y=2x+5

where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n

Answers

I dont understand can u put the question in full form

What is the range for the set of data? 6,7,10,12,12,13

Answers

Answer:

what is range?

Step-by-step explanation:

Answer:

Step-by-step explanation:

13-6=7, so the answer is 7,

boys:total students = 2:9, girls = 21, boys =

Answers

Answer:

6 boys

Step-by-step explanation:

Subtract to find the total number of girls.

9 - 2 = 7 girls

Write a ratio from boys to girls.

2:7

Divide to find the scale factor.

21 / 7 = 3

Multiply to find the total number of boys.

3 * 2 = 6

Best of Luck!

According to Newton's 1st law of motion, . . . . .
A . for every action, there is an equal and opposite reaction.
B . force = mass * acceleration
C . an object will remain at rest unless an external force acts upon it.

Answers

Answer:

Step-by-step explanation:

Answer:

I believe it is C. I am not 100% sure but I do believe I am right

About 4 out of every 5 people are right-handed. If there are 30 students in a class, how many would you expect to be right-handed? How many to be left-handed?

Answers

Answer:

You would expect 24 right handed and 6 left handed

Step-by-step explanation:]

5 x 6 =30

Tell whether the angles are complementary or supplementary. Then find the value of x

Answers

Answer:

Complementary, x=78

Step-by-step explanation:

90= (x-8)+20

complementary angles add up to 90 degrees.

Answer:

Complementary, x is 78

Step-by-step explanation:

Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.

Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do

(x-8)+(20) = 90

X+12=90 We combined like terms

X=78 Inverse operations

You can plug 78 into x and check to see if it is correct if they are 90 degrees total.

a group of 8 friends go out to pizza. each person will buy a soda and 2 slices of pizza. Let s represent the cost of sodas and p represent the cost of pizza slices

Answers

Answer:

Step-by-step explanation:

If I'm not mistaken you're looking for an equation, if not then comment below...

y = 8s + 16p

Since there's 8 of them, they'll get 8 sodas total and 16 sliced of pizza total.

Solve two sevenths plus seven fourteenths

Answers

Answer:

Eleven Fourteenths

Step-by-step explanation:

Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14

Answer:

Step-by-step explanation:

i took the test

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.

Answers

Answer:

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: -3/4x - 3/2

Hope this helps! :)

The correct matches are,

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

We have given that,

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

What is the linear model?

The term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with a linear regression model.

Match each linear model to its inverse.

Therefore the correct matches

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

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If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)

Answers

The given function is

[tex]h(x) = \{ (0,1), (2,3), (-4, 1) \}[/tex]

The inverse function is

[tex]h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}[/tex]

To get the inverse, we swap each x and y coordinate.

The rule is [tex](x,y) \to (y,x)[/tex]

So that's why the point (0,1) becomes (1,0) for instance.

Brendan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $50 for the initial consultation and then $60 per session. Another plan is to charge $100 for the consultation and $50 per session. Brendan realizes that the two plans have the same cost for a certain number of sessions. After how many sessions will the pricing be the same?

Answers

Answer:

1700

Step-by-step explanation:

Can y’all answer the middle one Ill mark you brainlist.

Answers

Answer:

4.44 infinet

Step-by-step explanation:

If you are asking and need to round it up it will come up to

4.444

You need to round it up because the 4.444 goes on and on infinitely.

If you needed another answer comment what it is you need and I will answer you on there.

what is 11 divided by 3/4 in fraction form

Answers

The answer would be 14 2/3.

Find the distance between the two numbers on a number line −7,−323

Answers

Answer:

-316

Step-by-step explanation:

...................

r−5r−6s+8s−15 what is the answer for this equation

Answers

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

The simplified form of the given expression is -4r+2s-15.

The given expression is r-5r-6s+8s-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

r-5r-6s+8s-15

= -4r+2s-15

Therefore, the simplified form of the given expression is -4r+2s-15.

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A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Answers

Dhaka 22 herbs sisjsn jabs and she

Find the measure of the missing angle

Answers

The line is straight, so the 2 angles have to equal 180. Since we already know one angle is 21 degrees, we can subtract that from 180 to find the measure of the second angle. 180-21=159
So the measure of the other angle is 159 degrees.

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Let x = 2 + 8i and xy = –2 + 26i. What is y? Answer: 3+i

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Let x = 2 + 8i and xy = –2 + 26i. What is y?

Answer: 3+i