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.

Learn more about complex numbers here: https://brainly.com/question/12375854


Related Questions

State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!

Answers

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3

Answers

Answer:

-5

Step-by-step explanation:

Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator

Answers

4sqaure root 97/ 97

59 divided by 4=? PLEASE HELP!

Answers

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers

I need help on this one tooo

what's the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

the slope is 1, so put either “x” or “1” and the y-intercept is at the origin so it’s 0, so put “(0,0)”

Answer:

Slope: 16

y-intercept: (0, 0)

Yes it is proportional

Step-by-step explanation:

What's the slope

To find the slope we can do rise over run.

 192 - 96           96

----------------- = ----------- = 16

    12 - 6              6

So the slope is 16

What is the y-intercept?

For the y intercept we can just look where the line crosses the y-line so (0, 0)

We can check that by inputing some numbers:

y = mx + b -------> 96 = 6 · 16 + b

                            96 = 96 + b

                            - 96     - 96

                               0 = b

in this equation b represents the y-intercept

Is it proportional?

And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)

So evidently the slope is proportional.

4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?

a.3/2
b. -2/3
C.-3/2
d. None of the above

Answers

Full question please?

5x=4y make x the subject

Answers

Answer:

[tex]x = \frac{4y}{5}[/tex]

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0

Leave your answer in the form y=mx+c

Answers

Answer:

y=-3x+5

Step-by-step explanation:

it parallel to 3x+y+2=0 => line is: 3x+y+c=0

It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5

Line is 3x+y-5=0 => y=-3x+5

Answer:

Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0

In the form y=mx+c this becomes y=-3x+5

Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

PLZ HELP AND ANSWER QUICK Find the gradient of the line segment between the points (2,-3) and (-3,-8).

Answers

Answer:

1

Step-by-step explanation:

I assume you mean slope

(-3-(-8))/(2-(-3))=5/5=1

the maximum speed of a car is 252 km/h change this speed into meters per second

Answers

Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

Y=x-6 y=-x-+4
Substitute please.

Answers

Answer:

( 5 , − 1 )

Step-by-step explanation:

Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,

Answers

2(x +2 )

This is the number

What is an eigenvalue.

Answers

Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

Step-by-step explanation:

( ꈍᴗꈍ)
introduction to algebra explain

Answers

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

-7/8 divided by 9/8
opl;bgklkgmhglkhnjknjkgnh kjhngkhjngkjhn

Answers

Answer:

77/8

Step-by-step explanation:

Help me please!!!!!!!!!!!!!!!!!!

Answers

Answer:

d.

took the test

Step-by-step explanation:

If you type 30 words per minute, what is the words per minute ratio?

Answers

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?

Answers

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

What is the least common denominator of 11/12 5/6 1/5

Answers

Answer:

11/12 = 132

5/6 = 30

1/5 = 5

All of the numbers after the equal sign, are LCDs of the fraction.

Have a great day friend! :D

Answer:

60

Step-by-step explanation:

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

Please Help! 20 Points! Will Give Brainliest if correct!

Answers

Answer:

eh+gf/fh

Step-by-step explanation:

2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80

Answers

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Find all zeros f(x) = 3x^2+8x+7

Answers

Answer:

Step-by-step explanation:


©
Make x the subject of the formula
y = mx – C

Answers

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

?.....helpp lolllll helpppp

Answers

The answer is F, which is p/100 = 270/450

Answer: the answer is F

Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook

The equations of three lines are given below. PLEASE HELP ME THIS IS DUE TODAY

NO LINKS OR I WILL REPORT YOU

Answers

Answer:

Line 1 & 2 is Perpendicular

Line 1 & 3 is Neither

and Line 2 & 3 is Neither

Find the slope of the line shown below.​

Answers

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

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