Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)

Answers:

A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i

Answers

Answer 1

[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]


Related Questions

Can someone please help me with this easy math problem?

Answers

Here is my answer. I hope it is helpful.

The radius of a circle is 11 ft. Find its area in terms of π π.

Answers

Answer:

Area: 121π ft^2

(or just 380 ft^2)

make t the subject of the formula in the image

Answers

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.

Answers

Answer:

270

Step-by-step explanation:

Because i multiple 45 by 6

Please solve number 13 and 14

Answers

Answer:

13.

We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)

14.

The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.

plz help with my math hw

Answers

Answer:

cant see

Step-by-step explanation:

Calculate the value of 2x and 3x

Answers

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

I need helpppppppppppop

Answers

Answer:

Step-by-step explanation:

Domain:  I don't see any restrictions on the domain, although at some point y will become exceedingly large.

Range:  -9 to infinity

Increasing Interval:  x>2

Decreasing Interval:  x <2

End behavior:

- as x ⇒∞, y⇒∞

Rebecca savings account pays a simple annual interest rate of 2.5%. suppose she deposits $4280 in the account and makes up no additional deposits or withdrawals for 4 years. What will the total value of the account be after 4 years?

Answers

Answer 4708
I Hope This Helps

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

3 MS Wingate's coffee table is 7 feet wide the length of the coffe table is 8 times the width what is the perimeter of the coffe table?

Answers

It should be 126 because it’s a rectangle and you have to add all the side since it’s perimeter meaning 7x8=56 56x2=112 7x2=14 112+14=126

If you change something about an atom, you change the type of element it makes.

A. True

B. False

No links​

Answers

Answer:

B

Step-by-step explanation:

Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.

Hope that helps

Find the slope of the line that contains (−7,−1) and (−7,9).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:

undefined

Step-by-step explanation:

Slope = y - y / x - x

9 - (-1) / -7 - (-7)

= 9 + 1 / -7 + 7

= 10 / 0, undefined.

Cannot divide by zero.

you have to use y2-y1 divided by x2-x1 so the answer would be 8/3

Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}

Answers

Answer:

not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)

Step-by-step explanation:

to be a function, all of the x's must be different

I do not understand, like why did it give me a problem with one number and is not a exponent?

Answers

That’s the whole question? Question number 20 is just 7? Provide a larger picture so we can see what is around it

A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?

Answers

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

2·9﹣2·29+2·9≈7.1239in

Step-by-step explanation:

Can someone help me please​

Answers

D does not show to Communicative Property of Addition. D is the Communicative Property of Multiplication.

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

yall i need help asap! its due in 1hr!!​

Answers

Answer: I can help!

The answer is (B)

The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.

For the second one the answer is (A)

If you were to look up how much 2000% is you would get 20% so therefore that is the answer.

I hope you do good!

My apologies if anything is wrong.

show work! my teacher told me this was wrong, what's the correct answer?​

Answers

Answer:

it is Ahmed shoevked more your calculations are wrong

The round off value of 38.23 to the nearest whole number is?

Answers

Answer:

38

Step-by-step explanation:

38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up

Answer:

Rounding 38.23 to the nearest whole number would be 38

Step-by-step explanation:

Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50

If it was 0.50, the answer would go up to 39.

solve one step equation



x + 8 = -10

Answers

Answer:

[tex]x=-10-8 = -18[/tex]

Step-by-step explanation:

Answer:

x=-10-8=18

Step-by-step explanation:

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

Choose the best response to the question below:

Answers

The ANSWER is a. 6x^5

When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:

3x x 2x = 6x

^2 + ^3 = ^5

Answer is a. 6x^5

Find the area of a trapezoid with height h and bases b1 and b2.

h=6 in.

b1=9 in.

b2=11 in.

Answers

The answer is the following

9+11 = 20
20/2 = 10
10 x 6 = 60

Please help me on this math problem

Answers

We can use the formula y2-y1/x2-x1 to find our slope. When we plug in our numbers, we get 5-(-1)/0-2. This gives us 6/-2. The slope is -3.

1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.

How many Guppies did Mohamed purchase?

Enter your answer in the box.

Mohamed purchased ____ Guppies for his fish tank.


2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.

How many adults were are the movies?

Enter your answer in the box.

There were ____ adults at the movies.


3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.

How many cans of dog food were purchased?

Enter your answer in the box.

There were ____ cans of dog food purchased.


4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.

How many bucks are in the front pasture?

Enter your answer in the box.

There are ____ bucks in the front pasture.

Answers

Answer:

Step-by-step explanation:

1. 13

2. 38

3. 11

4. 4

which ordered pair is a solution to The equation y=-7-3x

Answers

Answer:

can you add the options that would help

Step-by-step explanation:

vvvv

Please help me
Three plus two times a number is seven less than four times a number.
What is that number?

Answers

Answer:

5

Step-by-step explanation:

3+2x = 4x-7

3+7=4x-2x

x=5

Answer:

Let the number be x

According to given conditions,

3 + 2x = 4x - 7

3 + 7 = 4x - 2x

10 = 2x

2x = 10

•°• x = 10/2

•°• x = 5

The number is 5.

Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters? Total value, 9 dimes and 4 quarters (dollars): Total value, xx dimes and yy quarters (dollars):

Answers

Answer:

$1 dollar and $0.90cents

Step-by-step explanation:

Please answer number 1 and 2.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

The common difference between two consecutive terms is 3.And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

someone please help me

Answers

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

also read similar questions: riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?.....

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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

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