4-3i divided by its conjugate

Answers

Answer 1
Answer:

Step-by-step explanation:
1. You have the following division:
(As you can see, to find the conjugate of 4-3i you must change the sign between the terms).
2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:

3. Keeping on mind that , you have:

4. Simplifying:

5. The result is:

Related Questions

Select the correct text in the passage.
In this excerpt from A Christmas Carol by Charles Dickens, which sentence indicates that Scrooge formed relationships primarily for selfish
reasons?
"I don't mind going if a lunch is provided," observed the gentleman with the excrescence on his nose. "But I must be fed, if I make one."
Another laugh.
"Well, I am the most disinterested among you, after all," said the first speaker, "for I never wear black gloves, and I never eat lunch. But I'll offer
to go, if anybody else will. When I come to think of it, I'm not at all sure that I wasn't his most particular friend; for we used to stop and speak
whenever we met. Bye, byel
Speakers and listeners strolled away, and mixed with other groups. Scrooge knew the men, and looked towards the Spirit for an explanation.
The Phantom glided on into a street. Its finger pointed to two persons meeting. Scrooge listened again, thinking that the explanation might lie
here.
He knew these men, also, perfectly. They were men of business: very wealthy, and of great importance. He had made a point always of standing
well in their esteem: in a business point of view, that is strictly in a business point of view.

Answers

Answer: it's the last

Step-by-step explanation:

Help please. Find the area of this circle

Answers

Answer:

8

Step-by-step explanation:

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

22 degrees

Step-by-step explanation:

line cb=5.831

angle b = 67.834 degrees

angle c = 22.166 degrees

The length of one leg of a right triangle is 20.3 centimeters. The length of the hypotenuse is
30.7 centimeters. Which is closest to the length of the other leg?

Answers

Answer:  Approximately 23.0 cm

=====================================================

Work Shown:

a = 20.3

b = unknown

c = 30.7

Apply the pythagorean theorem to find b

a^2 + b^2 = c^2

(20.3)^2 + b^2 = (30.7)^2

412.09 + b^2 = 942.49

b^2 = 942.49-412.09

b^2 = 530.4

b = sqrt(530.4)

b = 23.0304146727757  value is approximate

b = 23.0

I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.

super urgent will give u 5 rating and thansk if u answer
A jar contains 12 oatmeal cookies, 13 sugar cookies and 5 chocolate chip cookies. The percent of cookies that are oatmeal is ?

Answers

Answer:

40%

Step-by-step explanation:

I added all the cookie numbers together to get 30 then I found the percentage of 12 in 30 which is equal to 40 percent

Find the area of the figure.
4 in.
-6 in.
6 in.
10 in.

Answers

Answer:

68 in

Step-by-step explanation:

Find area of the rectangle - 6 x 10 = 60

Find area of the triangle (Formula - 1/2(base)(height)) - 1/2(4)(6) = 8

Add them - 60 + 8 = 68

What is the length of KL?
A 24
B 37
C 33
D 12

Answers

Answer: 37

Step-by-step explanation

Total perimeter = (4x + 1) + (x + 3) + (x + 3) + (4x + 1)
= 10x + 8

10x + 8 = 98
This is because the perimeter of this rectangle is 98 so I have made it equal to the algebraic perimeter.

Now, we can solve the equation to get a value for x.

10x + 8 = 98
10x = 90
x = 9

Now, we substitute x into 4x + 1
4(9) + 1 = 37

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

Answers

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y  = 1/2x + 9

What is a equal ratio to 4/10

Answers

Answer:

2/5

Step-by-step explanation:

Help I need help!!! please!!!

Answers

[tex]a.(x - 4)(x - 9) = x {}^{2} - 9x - 4x - 36 = x {}^{2} - 3x - 36[/tex]

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²

Mr lance designed a class banner shaped like a the polygon shown. What is the name of the polygon?

Answers

Answer:

hexagon

Step-by-step explanation:

i g

which is the simplified form of x-¹²?

A. x¹²
B. -x¹²
C. 1/x¹²
D. -1/x¹²​

Answers

Answer:

c. 1/x½

x- 12 = 1/x½

hope it helps

Step-by-step explanation:

-

please answer fast and quickly

Answers

Answer:

Blue

stay safe healthy and happy...

Hello there I hope you are having an great day :) If you select a marble without looking which colour are you less likely to pick, All together there is 10 marbles.

Orange : 2/10

Black : 2/10

Green : 5/10

Blue: 1/10

The less Colour is Blue as there is only 1 Marble so it probably the less likely to be picked.

Hopefully that helps you :)

Abby and Bill share a 20-ounce bucket of clay. By the end of the week, Abby has used

1/10

of the bucket, and Bill has used

2/5

of the bucket of clay. How many ounces are left in the bucket?

Answers

Answer:

A little brain/willpower.....Im sure you can figure it out!!!

What is mZPQR in radians?

Answers

Answer:

7pi/20 radians

Step-by-step explanation:

63         pi

------ x---------- =  63pi/180

1           180

63pi/180 simplified is 7pi/20 radians.

What is the slope of the equation: y = -3x + 7

Answers

Step-by-step explanation:

tan‐¹ –3 I guess

Correct me if I am wrong

Answer:

-3

Step-by-step explanation:

in y=mx+b, m is the slope. There for -3 is the slope.  

please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

Answers

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.


1. Find six rational numbers between 2/7 and 5/2​

Answers

Answer:

5/14

6/14

7/14

8/14

9/14

10/14

Step-by-step explanation:

We need to find the six rational numbers between 2/7 and 5/2. Firstly convert the fractions into like fractions.

LCM of 7 & 2 = 14

=> 2/7 = 2×2/7×2 = 4/14

=> 5/2 = 5 ×7/2×7 = 35/14

Therefore the six rational numbers are

5/146/147/148/149/1410/14

Determine if the lines are parallel, perpendicular, or neither.
y=-2x – 4
2x + y = 5

Answers

Answer:

parallel I think

Step-by-step explanation:

move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope

A standard American deck of cards contains 52 cards in four “suits”:
♣ clubs
♦ diamonds
♥ hearts
♠ spades
Each card also has a “rank”. There are 13 ranks: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), A(ace). Every suit-rank combination occurs in the deck, so a typical card might be called “the 7 of clubs” or “the queen of hearts”. Suppose we shuffle a deck (meaning that we put the cards in random order), then we draw a card
off the top. What is the probability that this card has an even number on it? (Jacks, queens, kings, and aces do not have numbers on them.)

I need the answer quickly pls

Answers

Answer:

5/13

Step-by-step explanation:

We can first start by finding the number of even numbers in one suit and then multiply by 4. The even numbers are:

2, 4, 6, 8, 10

There are 5, and since there are 4 suits, there is a total of 20 even cards.

Probability is equal to the amount of desirable outcomes over the total number of outcomes. The desirable outcomes are when we pull out an even number, and as we calculated earlier, there are 20 of those. There are 52 total cards, so that is the number of total outcomes. We get the expression:

20 / 52 which simplifies to 5/13

If the radius of a sphere is 6cm, then it’s volume is____

A. 288pi cm^3
B. 576pi cm^3
C. 72pi cm^3
D. 36pi cm^3

Answers

Answer:

[tex]A. \: 288\pi( {cm}^{3} )[/tex]

Step-by-step explanation:

Hint:

Formula = [tex] \frac{4}{3} \pi {r}^{3} [/tex]Radius = 6 cm

Simplify:

[tex] \frac{4}{3} \pi (radius {)}^{3} [/tex][tex] \frac{4}{3} \pi \times {6}^{3} [/tex][tex] \frac{4\pi}{3} \times 216[/tex][tex]4\pi = \frac{216}{3} [/tex]

[tex]4\pi \times 72[/tex]

[tex]288\pi( {cm}^{2} )[/tex]

Hope it is helpful....

Help please how do I find x and y

Answers

Answer:

Option 3

Step-by-step explanation:

tan33°=x/7

x=4.5

4.5^2+7^2=y^2

20.25+49=y^2

y=√69.25

y=8.3

find equation so EASY PLZ HELPPP URGENT WILL GIVE BRAINESD MARK 11+ POINTS

Answers

Answer:

y= -4x+4

Step-by-step explanation:

there you go!!!

Answer:

m= -4 would be the equation

Step-by-step explanation:

true or false the values [x] and [-x] are always equal

Answers

Answer:

If you mean |x| and |-x| yes they are equal.

Step-by-step explanation:

Brackets do not exactly specify the meaning of absolute value.

On most keyboards, above the enter button on the main keyboard part (not the keypad one) there is a back slash symbol \ and if you hold shift, there might be another symbol | which more accurately represents absolute value,

If you aren't talking about the absolute value, then no.

WILL GIVE BRAINLIEST!!! Question in pic!!!!! Help pls!!

Answers

Answer:

x=26

y=11

Step-by-step explanation:

y is equal to the one on the opposite side, so y=11

since 24 and the other side are equal, and the other side is x-2, you do 24+2=26

You want to fill up a jar with lemonade.
Is this the characteristic of total surface area or volume?

Answers

volume because of weight and surface

Henry is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $26,500. His family has promised to contribute $13,450 each year he is in school. What is the minimum amount of money Henry must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$501.32
b
$362.50
c
$294.38
d
$482.35

Answers

option b) 362.50
subtract the amount his parents are giving from the original cost of tuition and the divide by the number of months he had to save

pls answer due in a few

Answers

Answer:

Step-by-step explanation:

2x² + 7x + 3 = 0

a = 2 , b = 7 , c = 3

D = b² - 4ac = 7² - 4(2)(3) = 49 - 24 = 25 = 5²

Given equation has 2 real solutions (C)

the answer is c (2 real solution)

HELP ASAP PLEASEE!!
Simplify this expression.

5^6 x 5^-2 over 5^-7

a
5^1
b
5^11
c
5^-3
d
5^-19

Answers

Answer:

5^6 × 5^(-2) × 5^(-7)

= 5^{6+(-2)+(-7)}

= 5^{6-2-7}

= 5^(-3)

Option c 5^-3

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