What is the quotient of the complex number 4-3i divided by its conjugate?

Answers

Answer 1

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}[/tex]

_____

Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.


Related Questions

Theo has 3 sweets and 2 white sweets he picks a sweets at random write down the probability that theo picks a red sweet

Answers

Answer:

the probability is  3 ÷ 5

Step-by-step explanation:

The computation of the probability is given below:

= number of red sweets ÷ total number of sweets

= 3 sweets ÷ (3 red sweets + 2 white sweets

= 3 sweets ÷ 5 sweets

= 3 ÷ 5

Hence, the probability is  3 ÷ 5

Please help! Will mark brainliest if correct

Answers

Answer:

the answer is rectangle. I hope it helps!

Answer:

Triangle

Step-by-step explanation:

Because it looks like a Triangle 3 sides

Cuál es la expresión algebraica que determina la sucesión anterior 10,17 ,24​

Answers

Answer:

no se si lo necesitas en español

Step-by-step explanation:

Al darse cuenta de que

10

=

7

(

1

)

+

3

,

17

=

7

(

2

)

+

3

etc.

Una secuencia aritmética es aquella en la que alguna diferencia constante entre los números en una secuencia le da un patrón para llegar al siguiente número no listado en la secuencia.

En este caso, la diferencia es

7

. Cuando uno trabaja al revés y resta

7

desde

10

, el resultado es

3

. En el

0

a término, asumimos que

norte

>

0

para series y secuencias.

Asi que,

3

es el

0

th término, dándonos la intersección con el eje y, por así decirlo. Ahora simplemente tendríamos que reconocer que si incrementamos

norte

integralmente, y tenemos una diferencia de

7

de término a término, esa es la operación

7

norte

.

Entonces, la secuencia aritmética se generaría como:

a

0

=

3

+

7

(

0

)

=

3

a

1

=

a

0

+

7

(

1

)

=

10

a

2

=

a

1

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

=

17

a

3

=

a

2

+

7

(

1

)

=

a

1

+

7

(

1

)

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

+

7

(

1

)

=

24

etcétera. Cada término tiene

a

0

dentro de él, agregado a

7

veces el índice actual indicado por

a

norte

. Entonces, solo tenemos la definición recursiva:

a

norte

=

a

norte

-

1

+

7

o la definición general:

a

norte

=

3

+

7

norte

Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2

Answers

Answer:

no

Step-by-step explanation:

(4, -3) when plugged into the inequality x + y < 1 is not true

4 + (-3) < 1 is not true because 1 is not less than 1

My song lol. Help me plz

Answers

Answer:

false

Step-by-step explanation:

!!Please Help Asap!!Besides being a fraction, what is another way to describe the meaning of 35/11?​

Answers

Answer:

Well if you are saying another way to write 35/11 that would be in a decimal which is 3.18182

Line AB contains points A (1, 2) and B (−2, 0). The slope of line AB is...

positive
undefined
zero
negative

Answers

The answer is positive since the slope is positive.
it is positive because the slope is

2
Alice and Charlie share some money in the ratio 5:12.
Charlie gets £108. How much does Alice get?

Answers

Answer:

£45

Step-by-step explanation:

5 : 12

multiply by 9 to get the ratio of

45: 108

Over a 24 hour period the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70*F in the morning, rises to a high of 80*F, falls to a low of 60*F, and then rises to 70*F by the next morning.

What is the equation for the sine function f(x), where x represents time on hours since the beginning of the 24 hour period that models the situation​

Answers

Answer:

70º + (10°)sin[(π/12)x]

Step-by-step explanation:

this is the anwser

Hey, guys I need help :)

Answers

Answer:

Option B is the crt ans☺️☺️☺️☺️

II. Evaluate the following expressions.
6. 6 + 7 x 8
7. (25 + 11) x 2
8. 102 - 16 - 8
9. 3 + 6 x (5 + 4) = 3-7
10. (96 = 12) + 14 x (12 + 8) = 2
whats this plzz...​

Answers

Answer:

6. 62

7. 72

8. 78

9. 57 = -4 ??

10. ??

Step-by-step explanation:

6. 7*8 = 56, 56+6 = 62

7. 25+11 = 36, 36*2 = 72

8. 102-16-8 = 78

Answer:

First one is 13×8

second one is 36×2

third one is 9×9=4

forth one is I don't know

cómo puedo allar el valor absoluto de -4​

Answers

Answer:

4

Step-by-step explanation:

abs(-4)=4

Answer:

Si recuerda, el valor absoluto de un número es el número "hecho positivo" al eliminar el signo menos si el número es negativo y simplemente dejar pasar el número si es positivo. Entonces, por ejemplo, el valor absoluto de -3 es 3 y el valor absoluto de 3 es 3.

esto fue en codebymath

Step-by-step explanation:

The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.
Which statements about the clock are accurate? Check all that apply.
The central angle measure when one hand points at 2 and the other points at 4 is 60°.
The circumference of the clock is about 19 in.
With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.
The minor arc measure when one hand points at 1 and the other hand points at 9 is 150°.
The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.

Answers

Answer:

a , c , e

Step-by-step explanation:

just took it ;)

The statements about the clock are accurate are;

The central angle measure when one hand points at 2 and the other points at 4 is 60°.With one hand at 5 and the other at 10, the minor arc formed by the hands is about 15.7 in.The length of the minor arc between 11 and 2 is the same as the length of the minor arc between 7 and 10.

Why are the statement above correct?

1.  Note that the face of a clock is divided into 12 equal parts and the Angle of each part is= 30°

If one hand points at 2 and the other points at 4, then it is divided into two parts that is 2 to 3 and 3 to 4.

The angle that will be formed then will be = 2 (30) = 60°

So therefore option one is correct

111. When a person place one hand at 5 and the other hand at 10, then it is divided into 5 parts.

The angle that is formed= 30(5) = 150°.

Therefore, the arc length =(37.68) = 15.7.

So therefore, Option three is correct.

V.  When the length of the minor arc ranges from 11 to 2, then this is divided is 3 parts.

So therefore, 3(30) = 90°  

The minor arc is said to ranges from 7 to 10 and it is represented by  3(30) = 90°  

So therefore option five is correct.

Learn more arc  about

https://brainly.com/question/2005046

helpp please and thank you​

Answers

Answer: 160.82

Step-by-step explanation:

First, let’s get the area of the base. To do that, we multiply 9 times 5, which gets us 45. Next, for the two sides of the triangular prism, take 7 times 5, which is 35, and multiply that by two, getting 70. Next, for the two triangles, we have to use the triangle surface area formula, which is 1/2•base•height. So, take the base and the heigh, 9, and 6, and you get 54. Since there are two triangles, we don’t have to divide it by 2. So, we add all of our sides, 54, 70, and 45, and we get 169 sq cm.

[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]

Answers

x = negative 19 over 9

Answer:

[tex]x = -2 \frac{1}{9}[/tex]

hope this helps!

write a equation in slope intercept form that is parallel to the line y=-5/3x-1 and passes through the coordinates (9,5)

Answers

Answer:

y = (-5/3)x+20

Step-by-step explanation:

Parallel lines have the same slope.

Lamar has a bag of beads. He gives 20 beads to his sister. Then he makes 4 identical necklaces with the remaining beads. Write an expression that represents the number of beads on each necklace.

Answers

Answer:

x/4 - 5

Step-by-step explanation:

Let :

Number of beads in bag = x

Number of beads left = x - 20

Identical beads made from remaining = 4

Number of beads on each necklace :

Number of beads left / number of beads made

= (x - 20) / 4

= x/4 - 5

susan ran 2.75 miles in 1/4 of an hour how fast was she traveling

Answers

Answer:

Step-by-step explanation:

ran 2 3/4 miles in 1/3 of an hour

 

2 3/4 miles =11/4 miles in 1/3 of hour

 

11/4 miles   divided by 1/3 hr

 

11/4 ÷ 1/3

 

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr

Find x and y in the diagram.

Answers

A. X=60 Y=30
mark me as brainliest!
:)

Write the quadratic equation in standard form:
4x2 – 20 = -6x

Answers

Answer:

4x^2+6x-20=0

Step-by-step explanation:

Im really bad at math but i like i think this is right, im trying to help lol

solve 28 less than or equal to 4n​

Answers

Answer:

7 [tex]\leq[/tex] n

Step-by-step explanation:

28 [tex]\leq[/tex] 4n

divide by 4 on both sides

7 [tex]\leq[/tex] n


a) What is the name of the line marked a?
c)
cis
b) What is the name of the line marked b?
d)
di
c) What is the name of the line marked c?
d) What is the name of the line marked d?
b
с
a
d

Answers

Answer:

I do not know but trying to help I think it is D

Step-by-step explanation:

To advertise their newest
burger, the restaurant is using
a billboard that uses a scale of
1 foot = 9/16 inch . If the diameter
of theactual burger is 4, inches,
What will be the diameter of the
burger on the billboard?

Answers

Answer:

Step-by-step explanation:

4in(1ft/(9in/16))

4in(16ft/9in)

(64/9)ft

7.11ft

graph the line x=2

I'm bad with graphs​

Answers

Answer:

draw a straight horizontal line that crosses 2

Step-by-step explanation:

Elyannie has no more than 90 Hershey Kisses. She puts the Hershey Kisses in 5 candy boxes. ​

Answers

Answer:

So if she has no more than 90 Hershey's then she only has 90 Hershey's

She has 5 boxes

90/5 (divide)

=18

Step-by-step explanation:

Hope that Helped! :)

Answer:The problem is 90/5 which equals 15

Step-by-step explanation:

She’s just splitting the 90 Hershey’s kisses into 5 groups and there will be 15 Hershey kisses in every group.

Help me with this pls and thank you

Answers

The slope would be -3 since the line goes down three and over 1

Answer:

y=4x -3

Step-by-step explanation:

rise/run= 4/1

y intercept: -3

hope this helps

Ivan biked 4 2 3 hours on Monday, 1 1 3 hour on Tuesday, and 2 2 3 hours on Wednesday. What is the total number of hours Ivan spent biking? Enter the correct answer to complete the statement. Express your answer as a mixed number with a fractional part less than 1. Choose the number of hours Ivan spent biking.

Answers

Answer: 8 2/3 hours

Step-by-step explanation:

From the question, Ivan biked 4 2/3 hours on Monday, 1 1/3 hour on Tuesday, and 2 2/3 hours on Wednesday.

The total number of hours Ivan spent biking will be:

= 4 2/3 + 1 1/3 + 2 2/3

= 8 2/3 hours

Therefore, the total hours spent biking is 8 2/3 hours

Question is in the photo. Please help ASAP.​

Answers

65.49m²

Step-by-step explanation:

= 30m² + 6√35m²

= 30m² + 6×5.91m² ---------( √35 = 5.91 )

= 30m² + 35.49m²

= 65.49m²

Plz mark me brainlist

and follow me as well

Answer:

Answer in the pic

Step-by-step explanation:

please give brainliest i only have 6

Hermione is better than harry potter

Subtract (-3f - 4g + 9) - (2 - 6f + 5g).

Answers

Answer:

Step-by-step explanation:

Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.

(-3f - 4g + 9) - (2 - 6f + 5g)

-3f - 4g + 9 - 2 + 6f - 5g

+3f - 9g + 7 is your answer.

Answer:

3f−9g+7

Step-by-step explanation:

(−3f−4g+9)−(2−6f+5g)

To find the opposite of 2−6f+5g, find the opposite of each term.

−3f−4g+9−2−(−6f)−5g

The opposite of −6f is 6f.

−3f−4g+9−2+6f−5g

Subtract 2 from 9 to get 7.

−3f−4g+7+6f−5g

Combine −3f and 6f to get 3f.

3f−4g+7−5g

Combine −4g and −5g to get −9g.

3f−9g+7

Find the area of the square that has side length 7a^4​

Answers

Answer:

area of square=l²=(7a⁴)²=49a^8

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