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

What is the area of a square that has a side of 4 units

Answers

Answer:16

Step-by-step explanation: So we know that a square has 4 equal sides, and if one of the sides is 4, then that means all sides were 4. Are is side * side. so the area is 4*4  wich is 16!

Answer:

16

Step-by-step explanation:

Square formula: side²

So 4²=16

Math breh™


Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points

Answers

40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

tyler swims at constant speed, 5 meters every 4 seconds. how long does it take him to swim 114 meters?​

Answers

28.5 seconds

cuz 114 ÷ 4 = 28.5 = 28.5 × 4 = 28.5

hope it will help u

Answer:

91.2 seconds

Step-by-step explanation:

5 m = 4 second

1 m = 4/5 second

1 m = 0.8 second

∴ 114 m = 114 x 0.8

           = 91.2 seconds.

Brainliest would be really appreciated if it helped :)

PLS HELP! 20 pts! Antonio said that triangle AFN ≅ triangle TBM by SAS Congruence Theorem. What mistake did he make?

Answers

The congruence theorem is always the same

answer please. bots will obvious be deleted

Answers

Answer:

A right triangle needs to have all the sides of the same length. Since this obviously does not, it is not a right triangle. Infact, this is a scalene triangle because all of its sides are unequal.

PLZ HELP
which relation is a function?​

Answers

Answer:

The Bottom one

Step-by-step explanation:

The Line cant pass thru it twice. I think, if not sorry.

Rose :)

Unless there is a fourth option, which there probably is and if there is then the 4th option is correct.
All three graphs in the picture above are NOT functions because they do not pass the vertical line test :)

−x2+3x−2 if x=−4 help me

Answers

Answer:

-6

Step-by-step explanation:

-(-4)2+3(-4)−2 would be the equation so you'd just have to solve it using PEMDAS

what is the slope of the line that passes through the points 6,10 and -4,4

Answers

Answer:

Slope = 3/5

Step-by-step explanation:

Slope = (change in y) / (change in x)

          = (4 - 10)/(-4 -6)

          = -6/-10

          =  3/5

BRAINLIEST!! What’s 36.3 square root ?

Answers

Answer:

6.02

Step-by-step explanation:

Find the shaded region

Answers

maybe -10.8 cuz it looks like u gotta multiply by 10 to get the full shape

the temperature was 80degrees F and then fell 20 degrees F. draw a diagram to represent.​

Answers

Look up a basic graph and go off of that. On the right side up, write down in 10’s all the way to 100. so the same with the line on the bottom. put a point at 80, then 20. then connect with a straight line. make sure to label with degrees Fahrenheit!

I hope this helps! & Let me know if you have any questions!

Mark this as Brainliest if you get a chance:)

For students for parents for teachers Honor code Brainly what is the value of the angle of the color of the number divided by the donut you ate earlier

Answers

Answer:

wgdhqbdhbhjx

Step-by-step explanation:

djwefhejidehjeicbj

hbdahbcdhicb

cdhigcuyhbcdidbchbhcbdhc

dhcidicbhbchudnhicenibchiudbcui

dihcbhibchinciniheucdcnunc

What’s 94 divided by 4

Answers

Answer:

23.5

Step-by-step explanation:

[tex]QUESTION:[/tex]

What is 94 divided by 4?

[tex]ANSWER:[/tex]

23.5

[tex]COMMENT:[/tex]

Please mark Brainliest!

[tex]ANSWERED:\\GraceRosalia[/tex]

There are a total of 88 people attending a conference. The ratio of men to women is 3 to 5.

How many men are attending the conference?

Answers

Answer:

3:5

3/8×88

33 women

5/8×88

55 men

Answer: I attached the answer below

Step-by-step explanation:

18. You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you want to buy a
pair of pants, which will have 4% sales tax.

a.) What is the inequality that represents the amount of money you have to spend?

b.) Given that you can spend no more than $60, what is the most a pair of pants could cost?

Answers

Answer:

a. pants + tax + drink ≤ 60 b. $56.16

Step-by-step explanation:

60-1.5 = 58.5 = money left for pants+tax

58.5/100 = 0.585 = 1%

0.585x 4= $2.34 = highest possible tax

58.5 - 2.34 = $56.16 most

pants + tax + drink ≤ 60

What is the last digit of Pi?
Also, what are the five digits before the last digit?

Answers

Answer:

There is no last digit of Pi. Pi is an ongoing number that never repeats or ends.

:)

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.4 years, and standard deviation of 1.2 years.

If you randomly purchase one item, what is the probability it will last longer than 3 years?

Round answer to four decimal places

Answers

Answer: bro im sorry ion no but ima look it up lol

Step-by-step explanation: it is what it is

What is the answer for number 5

Answers

Step-by-step explanation:

The answer is 3 pls mark me as brainliest

2. Mary answered 6 questions correctly on her Biology test.
She answered 20% of the questions correctly. In total, how
many questions were on the Biology test?

Answers

Answer:

60

Step-by-step explanation:

if 6 questions is 20 percent, that means every 3 questions should be 10 percent. 60÷3=20

Answer:

The Answer is 30 questions in total.

Step-by-step explanation:

1. The first thing you would want to do is to break down this question.

For every 6 questions, this is 20% of the test done.

2. You now would want to divide 100% (the full amount on the test) by 20%.

100%/20% = 5

3. Now, multiply both to get your answer.

6·5= 30

20%x5= 100%.

Therefore, the total amount of questions on the test is 30 questions.

Just identify if this is rational or not :))

Answers

Answer:

it is i think :(

Step-by-step explanation:

Find the surface area and volume of the basketball. Round your answer to the nearest hundredth.​

Answers

Answer:

Surface area: 277.59 in^2

Volume: 434.89 in^3

Step-by-step explanation:

Radius = C/(2*pi)

29.5/3.14 = 9.39

Radius = 9.39/2 = 4.7 in

A = 4 pi r^2

A = (4) (3.14) (4.7)^2

A = 277.59 in^2

Volume = (4/3) (pi)(r)^3

(4/3)(3.14)(4.7)^3

= 434.89 in^3

Answer:

Surface area: [tex]277.59[/tex] in^[tex]2[/tex]

Volume: [tex]434.89[/tex] in^[tex]3[/tex]

Explanation:

Radius = C/([tex]2[/tex]*[tex]Pi[/tex])

[tex]29.5/3.14[/tex] = [tex]9.39[/tex]

Radius = [tex]9.39/2[/tex] = [tex]4.7[/tex] in

A = [tex]4[/tex] [tex]Pi[/tex] r^[tex]2[/tex]

A = ([tex]4[/tex]) ([tex]3.14[/tex]) ([tex]4.7[/tex])^[tex]2[/tex]

A = [tex]277.59[/tex]in^[tex]2[/tex]

Volume = ([tex]4/3[/tex]) (pi)(r)^[tex]3[/tex]

([tex]4/3[/tex])([tex]3.14[/tex])([tex]4.7[/tex])^[tex]3[/tex]

= [tex]434.89[/tex] in^[tex]3[/tex]

To know more about surface area and volume-brainly.com/question/24980824

#SPJ2

HELP I DONT KNOW THIS IS IT A B C OR D

Answers

Answer:

C

Step-by-step explanation:

Because it’s just flipped to the other side

C other person also did it right

What does the slope of the function represent?

Answers

Answer:

Hello there!

Your answer is,

The slope of the function represents a steady growth in the amount of money in the cash register after each sale.

Step-by-step explanation:

After they sell a cup of lemonade the graph goes up to represent the money they got and put into the register after the sale.

find the perimeter of rectangle.

Answers

Answer:

it depends on how big the rectangle is though...

Step-by-step explanation:

Answer:

6x + 10

Step-by-step explanation:

Given,

Length ( l ) = 3x

Breadth ( b ) = 5

To find : Perimeter of the rectangle = ?

Formula : -

Perimeter of the rectangle = 2 ( l + b )

Perimeter of the rectangle

= 2 ( 3x + 5 )

= 2 ( 3x ) + 2 ( 5 )

= 6x + 10

9n - 16 -1 + 3n Pls help

Answers

Answer:

17/12

Step-by-step explanation:

12n-17=0

12n=17

n=17/12

please help this is due in 10 minutes!!!!!!

Answers

Answer:

Step-by-step explanation:

you just gotta add all the side-lengths together and consider each grid square as 10 instead of 1.

so 70 + 40 + 20 + 60 + 20 + 40 i believe.

this all equals 250.

ask your teacher if its a type, because there's no 250 on there. grab a calculator or something as proof.

9x - 5 = 7x + 3 Please help and explain step by step I really don’t understand I’ll mark brainliest

Answers

Answer:

x=4

Step-by-step explanation:

Equation:   9x-5=7x+3

Add 5 on both sides: 9x=7x+8

Subtract 7x from both sides: 2x=8

Divide 2 from both sides: x=4

Answer:

4

Step-by-step explanation:

9x - 5 = 7x + 3

2x = 8

x=4

just a little algebra.

how do i calculate slope?​

Answers

Answer:

In order to calculate the slope, you'll need 2 ordered pairs (x, y).

The formula for calculating the slope is:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

where m = slope

(x1, y1) = first ordered pair

(x2, y2) = second ordered pair

Regardless of which values for the (x1, y1) and (x2, y2) you choose, you would still end up with the same slope (as long as it's done correctly).

As an example, let's say you have the following set of points:

(2, 4) (8, 1)

Let (x1, y1) =  (2, 4)

     (x2, y2) = (8, 1)

Plug these values into the slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{1 - 4}{8 - 2} = \frac{-3}{6} = -\frac{1}{2}[/tex]

Therefore, the slope of the line is - 1/2.

To prove that you'll end up with the same value for the slope:

This time, let (x1, y1) =  (8, 1)

                     (x2, y2) = (2, 4)

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{4 - 1}{2 - 8} = \frac{3}{-6} = - \frac{1}{2}[/tex]

Therefore, the value of the slope is still -1/2.

Please mark my answers as the Brainliest if you find my explanations helpful :)

(4x^ 2 y^ 3 ).(2xy^ 4 )=

Answers

4x^2 y^3 × 2xy^4 =

4 × 2 × x^2 × x^1 × y^3 × y^4 =

8 × x^(2 + 1) × y^(3 + 4) =

8 × x^3 × y^7 =

8x^3 y^7

ANS

step 1- Equation at the end of step

step 2- Equation at the end of step

step 3- simplify

[tex] \\ \frac{ {2}^{2} {x}^{2} {y}^{3} }{ {2xy}^{4} } [/tex]

step 4- Dividing exponential expressions

[tex]\: {x}^{2} divided \: by \: {x}^{1} = {x}^{(2 - 1)} = {x}^{1} = x[/tex]

step 5- Dividing exponential expressions

[tex]\: \: {y}^{3} divided \: by \: {y}^{4} = {y}^{(3 - 4)} = {y}^{ - 1} = \frac{1}{ {y}^{1} } = \frac{1}{y} [/tex]

step 6- Dividing exponents

[tex] \: {2}^{2} divided \: by \: {2}^{1} = {2}^{(2 - 1)} = {2}^{1} = 2[/tex]

Final result

[tex] \\ \frac{2x}{y} [/tex]

Thank You !!!

Write the equation of the line parallel to the line and passing through the point.
Chapter Reference
d
y=x+5, (8, 1)

Answers

Answer:

y = x - 7

Step-by-step explanation:

Parallel lines have the same gradient in this case 1 is the gradient.

Using the point (8,1) we can form our own equation.

1 will be y, 1 will be m, 8 will be x

All we have to do is find C in order to form the equation y=mx+c

1 = 1(8) + c

1 = 8 + c

C = - 7

Therefore;

y = x - 7

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