Solve 48-5i=-4x+10yi

Answers

Answer 1

Answer:

Step-by-step explanation:

Suppose we decide to solve for y first.  y will then be in terms of x AND a real and an imaginary term:

48-5i=-4x+10yi

The goal here is to solve for y.  Adding 4x to both sides yields

48 - 5i + 4x = 10yi

and then we divide both sides by 10i to isolate the variable y:

48 - 5i + 4x

----------------- = y                 This result is "y in terms of the constant 48, the

      10i                               imaginary terms 5i and 10i, and the expression 4x.

We solve the original equation for x in a similar manner:

48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:

      -(48 - 5i - 10yi)

x = ------------------------

                 4

Next time, please specify which variable (x or y) you're solving for.  Thank you.


Related Questions

There are 6 squares and 9 circles. What is the simplest ratio of squares to
total shapes?

Answers

Answer:

2:5

Step-by-step explanation:

Help me please I need help with this math homework

Answers

What is the question?

Timothy took 2/3 hr to paint a portrait. This was 1/3 hr shorter than the time he took to paint scenery. How long did he take to paint scenery? I need help ASAP

Answers

Answer:

1 hour

Step-by-step explanation:

2/3+1/3

=3/3 or 1

that's my answer

i hope it helos

what does a value of 8 in 589310 compare yo the value of the 8 ine 598301​

Answers

Answer:

10

Step-by-step explanation:

It is 10 times as much

Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.

Answers

6.5x+50>_234
C=#of hrs (>_ is the greater than equal to symbol btw)

6.5x+50>_234
-50. -50
6.5x/6.5>_184/6.5

x>_ 24 hrs


Answer:

H = (234 - 50)/6.50

H = 29 hours

Step-by-step explanation:

H = hours to work

H = (234 - 50)/6.50

H = 28.31 hours

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

Enter the data to create a histogram. Then select the correct answer. hours 3 4 4 2 5 416 6 5 Faizah keeps track of the hours she practices. O The histogram is not symmetrical O The histogram is symmetrical. O The data are not evenly distributed O The left side of the graph is not the mirror image of the right side of the graph.​

Answers

Through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

When is histogram not symmetrical?

The histogram is not symmetrical if it is or has skewed distribution.

This is said to be when a distribution is said to not have any mirror-imaging. and as such, through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

Learn more about histogram from

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Find the surface area of the pyramid.

Answers

You would Mylutilpy 14x16

0) 9 deliveries in 3 hours deliveries in 1 hour Submit​

Answers

Answer: 3 delivers an hour

Step-by-step explanation:

9/3=3

5% of a number is 27.
1 %of the same number is 5.4
work out 14% of the number.

Answers

Answer:

75.6

Step-by-step explanation:

100*5.4=540

540/14=75.6

Plz someone help me on these 2 questions!! I'm desperate :)

Answers

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

The angle \theta_1θ
1

theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{9}{41}sin(θ
1

)=
41
9

sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of \cos(\theta_1)cos(θ
1

)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

Answers

Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41

Trigonometry ratio

Given the following parameters

sinθ = 9/41

According to the SOH CAH TOA identity

sinθ = opposite/hypotenuse

Determine the adjacent sides

a= √41² - 9²

a = √ 1600

a = 40

Determine the value of cosθ

cosθ = adjacent/hypotenuse

cosθ = 40/41

Hence the value of cosθ if the value of sinθ is 9/41 is 40/41

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Answer:

-40/41

Step-by-step explanation:

standard normal distribution​

Answers

Answer:

distribution form is like    12x6+24

Step-by-step explanation:

 standard form  is like 128                                                                                                                        

Amanda can jog 18 miles in 5 hours.

Answers

Answer:

the probelm does not make sense

Step-by-step explanation:

you can try dividing

Answer:

14.4 miles

Step-by-step explanation:

Amanda can jog 18 miles in 5 hours.

At the same rate how many miles can Amanda jog in 4 hours=??

solution:

Distance covered by Amanda in 5 hours = 18 miles

Distance covered in  1 hour = 18/5 miles

Distance covered in  1 hour is =3.6

Distance covered in 4 hours = 4*3.6=14.4

Hence Amanda can jog 14.4 miles in 4 hours

HELP ME FAST PLEASE!!!!!
the volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

help me please asap

Answers

C is the answer to you question

Please please i need help i will mark u brill

Answers

[tex] \bf\green{7.8 \times c + 3.4 = 19} \\ \\ \bf\red{7.8 \times 2 + 3.4 = 19} \\ \\ \blue{\bf{15.6 + 3.4 = 19}} \\ \\ \bf \red{\boxed{ \underline{\underline{\pink{ 19 = 19}}}}}[/tex]

Haha, very easy... :)

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units

Answers

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

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Help please and no links

Answers

Answer:

D

Step-by-step explanation:

right 6 units , B is 3,6 which is right 6 units from point f

Answer:

you

point

stealer.com

Step-by-step explanation:

Please help me im gonna fail.

Answers

Answer:

see below

Step-by-step explanation:

if the radius is 21, then the height is 24  (21 is 3 less than 24)

[tex]v=\pi r^{2} h\\v=\pi 21^{2} (24)\\v=\pi 441*24\\V=\pi 10.584\\v=3.14(10.584)\\V=33234[/tex]

the closest option would be the 33264

WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?

The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.

Answers

Answer:

As long as the population distribution consists only of positive values, sample size does not matter.

Step-by-step explanation:

As long as the population distribution consists only of positive values, sample size does not matter.

This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.
What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number?

Answers

Answer:

166.67 is answer of this question

if you take 4 steps every 6 minutes, how long will 10 steps be?​

Answers

Answer:

15

Step-by-step explanation:

divide 6 into 4 than what ever your answer is multi... by 10

Which table shows a linear function?
-4
- 1
1
2
3
у
8
2
2
4
6
-16
-8
х
-6
-2
0
1
3
-2.
2
y
0
-2

Answers

It’s 12 units long I
Hope it the answer just trying to help

There are 9 students participating in a spelling bee. In how many ways can the students who go first, second, and third be
chosen?
B.504 ways
C.529 ways
a. 454 ways
d. 404 ways

Answers

Answer:

I'm pretty sure it is C

Step-by-step explanation:

the answer for this is c

Angle P and angle Q are supplementary angles. If m(angle)p is 21 degrees less than twice the measure of
Angle Q , find the measure of each angle.

Answers

Answer:

Angle Q: 67 degrees

Angle P: 113 degrees

Step-by-step explanation:

You can write an equation to solve this. We know that angle P + angle Q = 180. If we substitute angle Q into the second equation we get angle P = 2*angle Q -21.

Plugging that knowledge into the first equation, we get 2*angle Q-21 + angle Q =180. Simplifying, we get 3* angle Q -21 = 180. Adding 21 to both sides gives us 3*angle Q = 201, dividing by 3 gives us angle Q = 67. 180-67= 113 so angle P is 113.

Ana,beto y Carla son confeccionará de polos,por cada 12 polos que confecciona Ana,Beto confecciona 7,mientras que por cada 28 polos que confecciona Beto,Carla confecciona 15 si el fin de semana Carla confecciona 198 polos más que Carla,cuántos polos confecciono Beto ese día?

Answers

Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.

¿Cuantos polos confecciono Beto ese día?

Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.

Por cada 28 polos que confecciona Beto, Carla confecciona 15.

Y sabemos que Ana hizo 198 polos mas que Carla.

Definamos las variables:

C = polos que hizo Carla.

A = polos que hizo Ana

B = polos que hizo Beto.

Podemos escribir las ecuaciones:

A = C + 198

B = (7/19)*A

B = 28/(28 + 15)*C

Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.

Reemplazando la primer ecuacion en la segunda obtenemos el sistema:

B = (7/19)*(C + 198)

B = 28/(43)*C

De la segunda ecuacion podemos obtener:

C = B*(43/28)

Remplazando eso en la otra ecuacion obtenemos:

B = (7/19)*(B*(43/28)+ 198)

Ahora podemos encontrar el valor de B.

B = 0.57*B + 72.95

B - 0.57*B =  72.95

B*0.43 = 72.95

B = 72.95/0.43 = 169.6

Redondenado, B = 170, ese es el número de polos que Beto confecciono.

Aprende más sobre sistemas de ecuaciones:

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Irene is making bags of trail mix for hiking club. She will use 22 ounces of walnuts, 11.2 ounces of
almonds, and 12.3 ounces of cashews. This amount makes 25 bags of trail mix. How many
ounces are in each bag?




Please help :/ if i dont finish theses questions i will go to summer school & i dont wanna go there

Answers

Answer:

In each bag there will be 1.82 ounces of mixture.

Step-by-step explanation:

Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:

(22 + 11.2 + 12.3) / 25 = X

45.5 / 25 = X

1.82 = X

Thus, in each bag there will be 1.82 ounces of mixture.

he point A has coordinates A(2, 4). What are the X-coordinates of A′ for the dilation D1.5(A)?

Answers

Answer:

(3,6)

Step-by-step explanation:

For dilation, you just multiply the coordinates by the scale factor (in this case 1.5) to get the answer! Hope that helps :)

According to one study, the average monthly cell phone bill in the U.S. is $70. If a 20-year old student with an average bill gives up her cell phone and each month invests the $70 she would have spent on her phone bill in a savings plan that averages a 4% annual return, how much will she have saved by the time she is 65?

Answers

Answer:

$37,800

Step-by-step explanation:

If she put 70 dollars in every month for 45 years she would have $37,800

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