Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

Answer 1

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

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Related Questions

If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that

Answers

Answer:

1.2 minutes

Step-by-step explanation:

5 laps >> 360 ( 6×60)

1 lap >> x

cross multiplication

5x = 360

x = 360/5

x= 72 second

x = 72/60 = 1.2 minute

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

I dont know what this is no links please

Answers

Answer:

Hamm i think si r or q mm sorry if it's wrong

Step-by-step explanation:

I think the answer would be q

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

https://brainly.com/question/11989726 click the link change your country to Philippines you will the answer there
The answer should be 27.295


What number does this Roman numeral represent?
XXXII

Answers

Answer: 32

Step-by-step explanation:

The roman numeral XXXII is 32 and XXIII is 23.

The number for this Roman numeral XXXII is, 32

Given that,

We have to write the number for this Roman numeral  XXXII.

Since, We know that,

X represent in number = 10

I represent in number = 1

Hence, The number for this Roman numeral  XXXII is,

⇒ XXXII

⇒ (10 + 10 + 10 + 1 + 1)

⇒ 32

Therefore, the number for this Roman numeral  XXXII is, 32

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Increase 80 by 12.5%

Answers

Answer:

90

Step-by-step explanation:

Answer:

[tex]80 \times \frac{12.5}{100} \\ = 10 [/tex]

then 80+10 =90

which expression means the same as subtract from 7 and then multipy by 4

Answers

Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!

Step-by-step explanation:

Answer:

[7-3]4 or [7-3]x4 your welcome hope it helps!

Step-by-step explanation:

NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!

Answers

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

I need #7 done (show work) will give brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

(7)

∠ RPS + ∠ QPR = ∠ QPS , substitute values

8x + 7 + 9x + 16 = 40 , that is

17x + 23 = 40 ( subtract 23 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Can you help me find the answer

Answers

Answer:

quadrilateral

and

pentagon

Answer:

1. Trapezium

2.Pentagon

(Irregular)

Help please! I don’t understand

Answers

Answer:

one real solutions

Step-by-step explanation:

If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.

Answers

Answer:

Answer:first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

A mailman earned $832 a week last year. What was his yearly salary?

Answers

Answer:

$43,264

Step-by-step explanation:

theres 52 weeks in a year so you just do $832 x 52

What is the product in simplest form −6/11⋅3/4

Answers

-6/11•3/4= -9/22 !!!!!

Plz help fast I will mark brainliest

Answers

Base angle theorem proves that

What is the value of f(x), if x is -8?

Answers

Answer:

-8f

Step-by-step explanation:

you will substitute in the numbers and multiply

Because f is a variable you write the -8 and attach the f to it

The value of function for given x value is -1.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=-(x+8)²-1.

Substitute x=-8 in the given function, we get

f(-8)=-(-8+8)²-1

= -0-1

= -1

Therefore, the value of function for given x value is -1.

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"Your question is incomplete, probably the complete question/missing part is:"

What is the value of f(x)=-(x+8)²-1, if x is -8?

Evaluate a+b+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a fraction in simplest form.

Answers

2 I got the one that was in my room and I’m going on a black screen and then I’m watching one

After solving the given expression, the value obtained from it in form of simplest fraction is equal to 5.1/8.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given data in the question,

a = 7/8

b = -7/16

c = 0.8 and

d = 1/4

And the equation is a+b+cd

7/8 + (-7/16) + (0.8)(1/4)

7/16 + 0.2

= 10.2/16

In simplest form, it is written as 5.1/8.

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Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.

Answers

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

We are required to select all the ratios that have the same constant of proportionality as Ada's observation.

let y and x represent amount of juice and oranges respectively;

y = juices squeezed out

x = Oranges squeezed in

y = k × x

5 = k × 3

5 = 3k

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

https://brainly.com/question/18611326

Answer:

Step-by-step explanation:

9:15 15:25 6:10

Simplify the following expression. (0.5x – 3)(0.5x + 3)​

Answers

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?

25

15

375

10

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

Troy studies porcupines and wants to estimate the population in a certain region. Troy catches 36 porcupines, marks them, and releases them. Then later, Troy catches 450 porcupines and observes that 18 of them are marked. To the nearest whole number, what is the best estimate for the porcupine population?

Answers

A Group of scientists caught and tagged  porcupines=140 A week later the scientists counted the porcupines=180

Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?

Answers

why is melissa buying 8 pounds worth of dog food holy shzt anyways the 4thhh

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.

Answers

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

[tex]\mathbf{987 + N = 2584}[/tex] and

[tex]\mathbf{N + 2584 = 4181}[/tex]

Make N the subject in both equations

[tex]\mathbf{N = 2584 - 987}[/tex]

and

[tex]\mathbf{N = 4181 - 2584 }[/tex]

So, we have:

[tex]\mathbf{N = 1597}[/tex]

and

[tex]\mathbf{N = 1597}[/tex]

Hence, the value of N is 1597

Read more about partial sequence at:

https://brainly.com/question/12914852

help me with this problem thank youuup.

Answers

Step-by-step explanation:

it is a linear function, if the change in y is constant in relation to the changes of x.

in other words, if the slope y change/x change is the same for every point.

when we look at the table, we see x changes constantly by +2.

and y changes constantly by -6.

so, the change rate/slope is constantly -6/2 = -3.

and therefore it is a linear function.

the equation looks like (the slope is always the factor of x)

y = -3x + b

b we get by using one of the x,y pairs like 1,4

4 = -3×1 + b = -3 + b

b = 7

so, the full equation is

y = -3x + 7

Step-by-step explanation:

Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:

We must determine whether the given relation or data can be modeled by a linear equation.  It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.

X-coordinates:

Subtracting the x-coordinates provides a constant difference of 2:

Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10):  Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.

If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.

Y-coordinates:

We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.

Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10):  Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.  

If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.

Slope

Since the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3.  Hence, the constant rate of change = -3.

As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.

Therefore, the data can be modeled by a linear equation because the rate of change is constant.

Linear Equation:

In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

4 = (-3)1 + b

4 = -3 + b

Add 3 to both sides to isolate b:

4 + 3 = -3 + 3 + b

7 = b

Therefore, the linear equation that represents the given data is: y = -3x + 7.

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

Given the complementary angle of y is 43º. Find the supplementary angle of y​

Answers

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

deffenition of polynomial function

Answers

Answer:

A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.

Can somebody show me how to do this with answers? I don’t understand how my teacher shows me

Answers

If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.

-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have

Answers

Answer:

One Solution

x = -9/2

Step-by-step explanation:

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