How to simplify 3+i/3-i

Answers

Answer 1

Answer:

To subtract two complex numbers, subtract the real part from the real part and the imaginary part from the imaginary part. To multiply two complex numbers, use the FOIL method and combine like terms . To divide two complex numbers, multiply the numerator and denominator by the complex conjugate , expand and simplify.

Step-by-step explanation:


Related Questions

W3* 5 = 15. then 15 + 5 equals what number? 3 05 08 15​

Answers

Answer:

Hello

ur answer is

15+5= 20

Step-by-step explanation:

thanks hope it helps

The circumference of a circle is 94.2 millimeters. What is the circle's radius?

Answers

Answer:

14.99

Step-by-step explanation:

The radius of the circle is 15milimeters

please help due 15 min hurry

Answers

The equation of the coordinates (-12,-3) is y=4/3x+13

The perpendicular line of y=4/3x+13
Is y=-3/4x

Hope this’ll help

Need Help pls pls!!!!

Answers

Answer:

1372 cm³

Step-by-step explanation:

I need help, please I don;t know what I am supposed to do

Answers

Answer:you have to mutiply

Step-by-step explanation:

When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?​

Answers

Answer: 90

Step-by-step explanation:

40 % = 0.40. X = number of pigeons. 0.4x =36

X = 36/0.4 = 90

Please help with number 20

Answers

Answer:

6x

2

−3−7x

=6x

2

−7x−3

=6x

2

−9x+2x−3

=3x(2x−3)+1(2x−3)

=(2x−3)(3x+1).

Then, f(x)=0⟹2x−3=0 and 3x+1=0.

Therefore, 2x=3 and 3x−−1.

That is, x=

2

3

, x=

3

−1

.

Rebecca solved
√45 + 2 √20. Her answer was 5 √5 . Is she correct? If not, explain and correct the error.

Answers

No.

[tex]\sqrt{45}=3\sqrt{5} \\2\sqrt{20} =2\sqrt5}[/tex]

If you add them up you DO NOT GET [tex]5\sqrt{5}.[/tex] According to mathematics, it equals to [tex]7\sqrt{5}[/tex].

A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.

Answers

Answer:

The height is 4 cm

Step-by-step explanation:

V = (pie) x radius² x height

615.44 cm³ = (3.14) x 7² x h

h = 615.44 cm³/(3.14 x 49)

h = 615.44 cm³/153.86

h = 4 cm²

What is the volume of the circular cylinder if height is 25 and circumference 12

Answers

Answer:

V = 900π ≈ 286.47 units³

Step-by-step explanation:

C = 2πr

12 = 2πr

r = 12/2π = 6/π

V = 2πr²h

V = π(6/π)²(25) = π(36/π²)(25)

V = 36/π(25) = 900/π ≈ 286.47

Graph the solution of this inequality on the number line.
7x > 35

Answers

Answer:

View Picture

Step-by-step explanation:

View Picture

Use long division to find each quotient. Show your computation and write your answer as a decimal.

a. 22÷5 b. 7÷8

Answers

A= 4.4 B= 0.875 should be the answers

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?

Answers

Answer:

$90

Step-by-step explanation:

Given data

Price= $900

Rate= 25%

Time= 8 years

Let us apply the compounding formula

A= P(1-r)^t    >>>>note that the negative sign is because of the depreciation

substitute

A= 900(1-0.25)^8

A= 900(0.75)^8

A= 900*0.100

A= $90

Hence the value of the car after 8 years will be  $90

Can someone show me how to figure out the slope? I think its -3/1 but I'm not 100% sure.

Answers

Answer:

-3/1

Step-by-step explanation:

You're correct :D

Answer:

-3

Step-by-step explanation:

cus its going down as its moving to the right and for every one square to the right it is moving 3 squares down

Find the slope of the line parallel to the line passing through the given points: (-2, 8) and (-6, 6)​

Answers

Answer:

2

Step-by-step explanation:

Use the points to find the slope, using the formula (y2 - y1) / (x2 - x1).

[tex]= \frac{-6-(-2)}{6-8}[/tex] = -4/-2 = 2

Since it's just asking for the slope, the answer is 2 (any parallel lines have the same slope).

Joey is 5 years less than three times the age of his son. Joey is 43 years old.
A) If is son's age is x years, write an expression in x to represent Joey's age.
B) Write an equation in x that can be used to find the value of x and find the value of x.


(Note: I am a 13 year old girl in 7th grade)

Answers

Answer:

amogus

Step-by-step explanation:

Can someone plz help me with this one problem plzzzzz

I’m Marking Brainliest!!!

Answers

19
23
25
Hope this helps, I’ll give an explanation if you want

What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m​

Answers

Answer:

302

Step-by-step explanation:

7*13*2 + 3*7*2 + 3*13*2 = 302

Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From the store back home was another 2/5 of a mile. How far did the girls walk in all?

Answers

Answer: The girls walked [tex]1\dfrac38[/tex] miles.

Step-by-step explanation:

Given:  Distance from home to school = [tex]\dfrac{6}{10}[/tex] mile

Distance from school to store = [tex]\dfrac38[/tex] mile

Distance from store to home = [tex]\dfrac25[/tex] miles

Total distance = [tex]\dfrac6{10}+\dfrac38+\dfrac25[/tex]

= [tex]\dfrac{6\times4+3\times5+2\times8}{40}[/tex]   [L.C.M.(10,8,5)=40]

= [tex]\dfrac{24+15+16}{40}[/tex]

= [tex]\dfrac{55}{40}[/tex]

= [tex]\dfrac{11}{8}=1\dfrac38[/tex]  miles

Hence, The girls walked [tex]1\dfrac38[/tex] miles.

If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.


f(h + 9)

Answers

Answer:

Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

The required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Now the given functions are,

f(x) = 2x – 6

g(x) = x – 2x²

Now putting x = h + 9 in f(x) and g(x)we get,

f(h + 9) = 2(h + 9) – 6

⇒ f(h + 9) = 2h + 18 – 6

⇒ f(h + 9) = 2h + 12

⇒ f(h + 9) = 2(h + 6)

and

g(h + 9) = (h + 9) – 2(h + 9)²

⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)

⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h

⇒ g(h + 9) = -2h² + 37h + 171

⇒ g(h + 9) = -(2h + 19)(h - 9)

Thus, the required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

To learn more about function :

https://brainly.com/question/17068704

#SPJ2

Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.

Please put full solution.

Answers

Answer: Samsung Galaxy S12

Answer:

S₁₂ = 531440

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

r = 6 ÷ 2 = 18 ÷ 6 = 3

This indicates the sequence is geometric with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )

where a is the first term and r the common ratio

Here a = 2 and r = 3 , then

S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]

     = [tex]\frac{2(531441-1)}{2}[/tex]

     = 531441 - 1

     = 531440

Find the length indicated please!!

Answers

?=4

explanation:

the whole thing is 13, and it’s split in 2 sections. section 1 is 9, so to find the length of section 2, you would do 13-9=4.

HELP MEEEEE PLEASEEEEEE

Answers

Answer:

8.6

Step-by-step explanation:

There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).

For this, you would have to know the distance formula which is

d=√(x2−x1)^2+(y2−y1)^2

Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)

Further simplifies into [tex]\sqrt{49+25}[/tex]

=[tex]\sqrt{74}[/tex]

=8.602325

use the distance formula:

√ ( x2 - x1 )² + ( y2 - y1 )²

√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²

√ ( 7 )² + ( 5 )²

√ 49 +25

√ 74

8.602325267

8.6 is the answer

please help its timed

Answers

the second option, domain means x-values

Answer:

Yes, B

Step-by-step explanation:

Domain and Range is when as x is reaching to infinity, the y is....

when -x os reaching to infinity, the y is...

The area of the rectangle shown is 13 ft?.
Find the length and the width of the rectangle.

Answers

The length and width are 1 and 13 ft.

w(w-12)=13
w^2-12w-13=0
w^2+w-13w-13
w(w+1) -13(w+1)
(w-13)(w+1)
w=13

w-12
13-12
1

the minimum charge the first 175 calls is rs 300 if the charge for each additional call is rs 350 how much is charge for 389 telephone calls​

Answers

Answer:

136150

Step-by-step explanation:

One additional charge is 350

389 call charge-(350x389)

Therefore, total charge is 136150.

Help please I really need it!!!

Answers

X=-4
X-2=2x+2
Subtract 2 and x from both sides to get
-4=1x

Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is

Answers

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

sophia has $8 to spend on lunch .does she have enough money for a sandwich a drink and a bag of chip?​

Answers

What are the prices for everything?
how are we supposed to know if we don’t have any specific prices for the chips drink and sandwich

earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)​

Answers

Answer:

A) (5)(0.6) x 7  = 3 x 7 =21

B) (C) (15) + 8

C) 4. (8 + 2) = 2  = 4(10)

D) 14 + 4(2 + 3)​  = 14 + 4(5) = 14 + 20 =34

Sorry not clear your question

Step-by-step explanation:

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