Let x = 2 + 8i and xy = –2 + 26i. What is y?
Answer: 3+i
Answers
Answer:
3 + i
Step-by-step explanation:
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
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:
d
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,
Is is 24, 15, 23 or 33
Answers
Answer:
33
Step-by-step explanation:
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.
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
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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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
Find the distance between the two numbers on a number line −7,−323
Answers
Answer:
-316
Step-by-step explanation:
...................
where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n
Answers
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:
c
Step-by-step explanation:
i took the test
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:
C
Step-by-step explanation:
Answer:
I believe it is C. I am not 100% sure but I do believe I am right
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)
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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what is 11 divided by 3/4 in fraction form
Answers
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!
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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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.
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 < 4Step-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>xFrom 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 < 4Which 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:
A
Step-by-step explanation:
Find the measure of the missing angle
Answers
So the measure of the other angle is 159 degrees.
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.
Which graph represents the function f(x)=4/x
?
Answers
Answer:
graph shown below
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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:
7.
Step-by-step explanation:
13-6=7, so the answer is 7,
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
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:
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
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.
YW
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
Related Questions
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2/3 of a class is girls. What is the ratio of boys to girls?
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?
The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many students are girls?
There is a class of 40 pupils. 2/5 of them are boys. How many are girls?
The ratio of boys and girls in a class is 2:3. There are 18 boys in the class. How many girls are there?
Sandy Singh
Answered October 27, 2020 · Author has 460 answers and 35.3K answer views
Boys to girls
= 3:4
girls are 4/7
Number of girls
= 4/7*35/1
= 20 girls
class of 35 girls are 20 then boys will be 15 which makes there are 5 more girls than boys
15 views
Wilfred Lalonde, Project Manager (1991-present)
Answered September 20, 2019
5
274 viewsView 1 Upvoter
Maruprolu Venkata Subbareddy
Answered October 11, 2020
Given that,
Total students =35,
Given ratio=3:4,
3+4=7 parts,
7parts=35
1part=?
35/7=5
Diff b/w boys and girls part=1
So ans 5.
33 views
Bruce Conner, former Director of Business Development (Retired) at A Fortune 500 Company (1980-2016)
Answered June 20, 2019 · Author has 471 answers and 198K answer views
5. 3+4=7
35/7=5
5*3 =15 boys
5*4=20 girls
20–15 =5
371 views
Diana Eade
Answered December 2, 2019
5
Add 4+5 =7
35÷7=5
4×5=20 girls
3×5=15 boys
20-15=5 more girls than boys.
236 views
Hungenahalli Sitaramarao Badarinath, Ph.D. in Civil Engineering. Maths keeps one mentally active.
Answered July 14, 2018 · Author has 28.8K answers and 15.5M answer views
The difference of girls to boys = 35(4–3)/(4+3) = 5.
699 views
Hemant Jaishi
Answered May 8, 2020
five more girls are there in the class.
50 views
David Ong
Answered May 10, 2020
15 Boys, 20 Girls (Ratio 3:4)
Answer: 5.
54 views
Lorine Birir, Admin
Answered January 12, 2020
15 boys and 20 girls this 5 more girls than boys
52 views
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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:
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
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
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.
