May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i​

May I Know The Values Of X And Y Of The Following Equation?(5-3i)(x-yi) = 3(x+2yi)+1-2i

Answers

Answer 1

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

simplify

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

equate real, imaginary parts

This resolves to the two equations ...

5x -3y = 3x +1-5y -3x = 6y -2solve the system

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

https://brainly.com/question/26397343


Related Questions

The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?

Answers

Answer:

$75 ?

Step-by-step explanation:

If this is wrong super sorry :)

(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]

Answers

Step-by-step explanation:

Firstly find the area if the parallelogram which is

=length of the base × vertical height

=

[tex]12m \times 5m[/tex]

=

[tex]60 {m}^{2} [/tex]

Now solve for the area of the circle

=

[tex]\pi {r}^{2} [/tex]

RADIUS = DIAMETER ÷2

[tex] \frac{4m}{2} [/tex]

=

[tex]2m[/tex]

so the area of the circle

=

[tex] \frac{22}{7} \times 2m \times 2m[/tex]

[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]

[tex]12.57 {m}^{2} [/tex]

subtract the area of the circle from the parallelogram

=

[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]

=

[tex]47.43 {m}^{2} [/tex]

Done

Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left

Answers

3/8 of $20

20 ÷ 8 = 2.5
2.5 × 3 = $7.5

Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation

Answers

Answer:

the answer is C mean absolute deviation

What percent of 75 is 24?

Answers

Answer:

Your Answer is 32%

Explaination:

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 >> Y = 24

75

STEP 2 >>

24 × 100 = 32

75 × 100 100

STEP 3>> Y = 32%

Finally, we have found the value of Y which is 32 and that is our answer.

You can use a calculator to find what percent of 75 is 24, just enter 24 ÷ 75 × 100 and you will get your answer which is 32.

Answer:

32

Step-by-step explanation:

(75/100) × X = 24

75X = 2400

75X/75 = 2400/75

X = 32

32% of 75 gives you 24

If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True

Answers

Answer:

HOPE THIS HElps

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function

Whoever answers these 6 area of composite shapes will get brainliest.

Thank you for your hard work!

Answers

Answer:

80 mi²63 in²32 m²44 cm²59.5 ft²48 km²

Step-by-step explanation:

Q1

8 x 4 + 12 x 432 + 4880 mi²

Q2

5 x 3 + 12 x 415 + 4863 in²

Q3

4 x 2 + 8 x 38 + 2432 m²

Q4

10 x 4 + 2 x 240 + 444 cm²

Q5

5 x 2 + 11 x 4.510 + 49.559.5 ft²

Q6

3 x 1 + 9 x 53 + 4548 km²

PLEASE HELP!

Use the Euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. State your answer as a list with $x$ first and $y$ second, separated by a comma.

Answers

Using the Euclidean algorithm  integer integers $x$ and $y$  is: [ (-30 + 37k ), (133 - 164k) ].  

Euclidean Algorithm

Given:

$164x + 37y = 1

First step

Sequence of quotients

4(37) + 16=164

2(16) + 5=37

3(5) + 1=16

4(1) + 1=5

1(1) + 0=1

       4     2     3     4     1

1 0     1     2     7    30    37

0 1     4     9    31  133  164

Determinant

(164×30) - (37×133)

=4,920-4,921

= -1

164(-30) + 37(133)

=-4,920+4,921

= 1  

Second step

Integer

[(x + bk), (y - ak) ]

Where:

x = -30

y = 133

k=integer

Hence:

[ (-30 + 37k ), (133 - 164k) ]  

Therefore using the Euclidean algorithm the integer is: [ (-30 + 37k ), (133 - 164k) ].  

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Katie recorded the length in inches of the ribbon pieces she was going to use for a project use this information for questions one and two which line plot correctly shows the data

Answers

Answer:

you didnt show any picture so i cant answer

Step-by-step explanation:

Answer:

D OR B hope this helps!

Step-by-step explanation:

Help me please I need it right now like now now

Answers

Answer:

$0.84

Step-by-step explanation:

Determine the equation of the line passing through the points (−1,1) and (1,7).

Write the line in standard form Ax+By=C.

Answers

Answer:

[tex]3x - y = -4[/tex]

Step-by-step explanation:

To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex]  where m is the slope and b is the y-intercept.

1. Find the slope:

[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]

2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]

[tex]1 = 3(-1) + b[/tex]

so [tex]b[/tex] = 4

3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]

4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.

Our result is [tex]3x - y = -4[/tex].

Hope this helps :)

How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.

Answers

Answer:

Step-by-step explanation:

The radius of the is extended to 2*3 = 6 cm.

The measure of the central angle is unchanged.

Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?

Answers

Answer:

NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...

Step-by-step explanation:

Answer:

Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.

Step-by-step explanation:

100% on edge

Evaluate A² for A = -4.

Answers

Answer:

-4^2= 16

Step-by-step explanation:

a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.

Answer:

-4^2= 16

Step-by-step explanation:

Question #6 MultipleChoice
Show Answer
To find the amount of paper needed to cover the outside of a box, which of the following measurements would
you need to find?
volume of a rectangular prism
volume of a cylinder
surface area of a rectangular prism
surface area of a cylinder
Question #7 MultipleChoice
Show Answer

Answers

Volume of a rectangular prism:))

Hope that helps

Answer:

the surface area of a rectangular prism

Step-by-step explanation:

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING

Answers

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

What is the value of x

Answers

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

May I please get help to this question.

Answers

Answer: 3

Step-by-step explanation:

Solve using substitution
y= 7x + 6
4x - 3y =16

Answers

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.

4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²​

Answers

Answer:

C and B

Step-by-step explanation:

Evaluate all the exponents

3^8: 6,561

8^3 = 512

(3 * 3) ^4 = 6,561

(3^4)^2 = 6,561

Options C and B would work.

Find five consecutive even integers such that four times the first number plus the fourth number is 35

Answers

The five consecutive even integers such that the four times the first number plus the fourth number is 35 are 6 , 8, 10, 12, and 14.

How to find the consecutive integers of the sequence?

The even integers are consecutive. Therefore,

let the first even integer = x

Therefore, the sequence is as follows:

x, x + 2, x + 4, x + 6, x + 8.....

Therefore,

4x + x + 6 = 36

5x + 6 = 36

5x  = 36 - 6

5x = 30

x = 30 / 5

x = 6

Therefore, the numbers are as follows;

66 + 2 = 86 + 4 = 106 + 6 = 126 + 8 = 14

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Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes

Answers

Answer:

In the white box with the "?" PUT 40

final answer: 13/20

Step-by-step explanation:

4/10 + 25/100

can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.

4/10 + 25/100

= 40/100 + 25/100

Keep the bottom, add the tops.

= (40+25)/100

= 65/100

always simplify when possible. 5 goes into both 65 and also 100

65/100

= 13/20

13/20 of Shira's garden is planted with carrots and potatoes.

order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4

Answers

Answer:

its already in order from least to greatest

Step-by-step explanation:

Already ordered to lease to greatest

2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n ​

Answers

Answer:

n = 150/6

or

n = 25

Step-by-step explanation:

Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.

Therefore, n = 150 / 6

If you make the division n = 25

b) Find
the sum of the series 72 +70+68+ + 40

Answers

I think the answer is 250

What is the area of this figure? Please help.

Answers

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

Area of a composite figure

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

learn more on area here: https://brainly.com/question/27744042

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the tax rate is 6.8%

what is the tax on $9.95


round to the nearest hundredth (explain your answer)

Answers

Answer: $0.68

Step-by-Step Explanation:

Tax Rate = 6.8%
Tax Rate on $9.95 = ?

Using the Percentage Formula,
= 6.8/100 x 9.95
= 0.6766

Therefore,
Rounding off to the nearest hundredth:
= $0.68


If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?

Answers

Answer:

f(2)=x

Step-by-step explanation:

Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above


If 27 out of 30 people passed a driving
test, what percent failed?

Answers

Answer:

10% failed the driving test

Step-by-step explanation:

27/30 = 90% and since 90% is what PASSED, 10% is what FAILED

this should be correct... if its not im sorry

Answer:

10% failed

27 / 30 is 90% so, 100% - 90% = 10%

Please mark Brainliest!!

please solve the problem

I want whole process​

Answers

Answer:

1

Step-by-step explanation:

⠀⠀⠀⠀□ Question

[tex] \Large \frac{ {x}^{p(q - r)} }{ {x}^{q(p - r)} } \div {( \frac{ {x}^{q} }{{x}^{p} } })^{r} [/tex]

⠀⠀⠀⠀■ Solution

Multiplying the power

[tex] \sf \Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \div \frac{ {x}^{qr} }{ {x}^{pr} } [/tex]

Changing ÷ sign into × by doing reciprocal

[tex] \sf\Large{ \frac{ {x}^{pq - pr} }{ {x}^{pq - qr} } } \times \frac{ {x}^{pr} }{ {x}^{qr} } [/tex]

As the base(x) is same, if the value is multipying so the power will add, if the value is dividing so the power will subtract.

[tex] \sf {x}^{pq - pr - pq + qr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - pr} \times {x}^{pr - qr} \\ \\ \sf {x}^{qr - qr + pr - pr} [/tex]

If the power of any value become 0,so it's value is always equal to 1

[tex] \sf \Large{ {x}^{0} } \\ \\ \boxed {\large {\rightarrow1 }}[/tex]

Answer:

1

Step-by-step explanation:

Solving :

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex](\frac{x^{q} }{x^{p} })^{r}[/tex]

⇒ [tex]\frac{x^{p(q-r)} }{x^{q(p-r)} }[/tex] ÷ [tex][ ({x^{q-p} })^{r}| or| x^{r(q-p)} ][/tex]

⇒ [tex]{x}^{pq-pr-qp+qr}[/tex] ÷ [tex]x^{rq-rp}[/tex]

⇒ [tex]x^{pq-pq+qr-qr+pr-pr}[/tex]

⇒ x⁰

1

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