Simplify the expression (2 + 3i) + (3 – 5i).
o
A. 5- 2i
B. 5 + 2i
C. 5i + 15
D. 13
E. 3

Answers

Answer 1

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i


Related Questions

What is the change in Greenland's ice from 2010
to 2011?
Is the change positive or negative?

Answers

Answer:

negatively, the more the ice melts the high the sea level rises.

Step-by-step explanation:

from 2010 to 2011 the average ice mass decreased by 463 gigatons

The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?

Answers

they’ve already earned $105 so they need $45 more to reach their goal

subtract -10 from 100​

Answers

Answer:

110

Step-by-step explanation:

Just trust me mate im in 7th grade

.
What is the final amount if 1010 is decreased by 6% followed by a further 9% decrease?
Give your answer rounded to 2 DP.

Answers

Answer: $863.95 I do believe

Step-by-step explanation:

en una encuesta a 200niños sobre el programa de T.V. que más les gusta ver ,se encontró que a 30 niños ven dibujos animados 45 niños miran películas animadas solamente 55niños miran programas sobre animales 38 niños miran programas sobre animales y dibujos animados 32 niños miran los tres tipos de programas encuentra el porcentaje de cada grupo​

Answers

Answer:

15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

Step-by-step explanation:

Dado que en una encuesta a 200 niños sobre el programa de TV que más les gusta ver se encontró que 30 niños ven dibujos animados, 45 niños miran películas animadas, 55 niños miran programas sobre animales, 38 niños miran programas sobre animales y dibujos animados y 32 niños miran los tres tipos de programas, para determinar el porcentaje de cada grupo​ se deben realizar los siguientes cálculos:

30/200 = 15/100 = 15%

45/200 = 22.5/100 = 22.5%

55/200 = 27.5/100 = 27.5%

38/200 = 19/100 = 19%

32/200 = 16/100 = 16%

Así, 15% de los niños solo ven dibujos animados, 22.5% solo ven películas animadas, 27.5% ven programas sobre animales, 19% miran programas sobre animales y dibujos animados, y 16% ve los tres tipos de programas.

what must be multiplied to 3x + 7y to get 9x² - 49y²?

help.​

Answers

Answer:

square the whole equation

Step-by-step explanation:

so, it will change from (3x + 7y)² to 9x² - 49y²

I hope this helps a little bit.

Answer:

(3x - 7y)

Step-by-step explanation:

we know that

.. (a + b) (a - b) = (a^2 - b^2)

=> (a + b) = (3x + 7y)

=>. (a^2 - b^2) = (9x^2 - 49y^2)

=> so, (a - b).= (3x - 7y)

hope it helps

Please help me this is my final!!!

Answers

Answer:

it is a. 43 sides

Step-by-step explanation:

(n-2)*180=number of degrees in a polygon

Answer:

43

Step-by-step explanation:

Put these numbers in descending order.
0.98
0.925
0.88
0.7

Answers

The descending values of the numbers is 0.98 > 0.925 > 0.88 > 0.7

Given data ,

Let the numbers be represented as A

Now , the value of A is

A = { 0.98 , 0.925 , 0.88 , 0.7 }

And , arranging in the descending order means from the greatest to the least value

So , the value of A is 0.98 > 0.925 > 0.88 > 0.7

Hence , the descending order is 0.98 > 0.925 > 0.88 > 0.7

To learn more about descending order click :

https://brainly.com/question/13174148

#SPJ1

A side of the triangle below has been extended to form an exterior angle of 116. Find the value of x

Answers

Answer:

[tex]x=64 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that

Angle of extension [tex]y=116 \textdegree[/tex]

Generally the angle formed at x is mathematically given as

[tex]x=180-116[/tex]

[tex]x=64 \textdegree[/tex]

Answer:

26°

Step-by-step explanation:

A side of the triangle below has been extended to form an exterior angle of 116°. Find the value of xx.

The answer is 26° i tried 64 and it was incorrect.

what is the slope of this line, simplify if possible!

Answers

Answer:

The slope is 0

Step-by-step explanation:

the line is straight, so the slope is 0. I hope this helps

Please help fast! !! Quick ! What is the area ?

Answers

6(12) + 13(5) + 4(4) = 153 in^2

hope this helps!! :)

Answer:

153

Step-by-step explanation:

break it up in pieces 6x12 + 4x4 + 13x5 = 153

Please help meeee!!!!!!

Answers

Answer:

23

Step-by-step explanation:

basta isagot mo lamg ah

Explain why the triangles are similar. Then find the value of x.

Answers

Answer:

well u can find triangles in the shape and they are the same shape just smaller

Step-by-step explanation:

combine like terms

3x+4x= 7x

14-1= 13

then divide by 7

1.85(keep going)  i think THINK this is right im sorry if it isn't

Find the area of the following shape.

Answers

Answer:

Area = 9 cm²

Step-by-step explanation:

The shape given is a kite.

Area of a kite = ½(D1*D2)

Where,

D1 = 6 cm

D2 = 3 cm

Therefore:

Area = ½(6*3)

Area = ½(18)

Area = 9 cm²

Write a real-life word problem that matches the equation ( 1 5 ) ÷ 3 =

PLS HELP

i honestly need help with this. i must create a word problem that uses the problem stated above. how do i make this a word problem. please excuse if my typing is a little off. thanks

Answers

Answer:

55555555555555555566666

Answer:

omg lol okay i love this:

Step-by-step explanation:

one day bob, billy, and sara went to the store to buy cookies.

they bought a box of 15 cookies.

THERE ARE TWO WAYS THIS STORY CAN GO:

NUMBER ONE:

bob, billy, and sara decided to split the bill. each cookie was one dollar. they each payed $5.

NUMBER TWO

when they got home, bob, billy, and sara decided to eat the cookies. they didn't know how to spilt them :(

they each took one cookie until they had an even amount. each child got 5 cookies.

THE END LOL I LOVE THIS

Help me? I’m giving brain

Answers

Answer:

4.31 as said

Step-by-step explanation:

Answer:

it could be 4.30 because when u divide those two the answer is 4.3057142857, and because the number in the hundreths place is just a 0 its probably just 4.30 i could be wrong sorry

What is an equation of the line that passes through the point (7,-7) and is perpendicular to the line x-2y=2x−2y=2?

Answers

Answer:

y=−2x+7

Step-by-step explanation:

The other moron doesn't understand simple math.

An equation of the line that passes through the point (7,-7) and is perpendicular to the line x - 2y = 2 will be  2x + y = 0.

What is Slope of Line ?

We have the given line x - 2y = 2 which is in form ax + by = c As we know that slope of line ax + by = c will be -(a/b).

Therefore For given line x -2y = 2 value of a will be 1 and value of b will be -2. Therefor Slope of given line will be -(a/b) = -(1/-2) = 1/2.

Now As we know that slope of two lines which are perpendicular to each other has product of there slopes as negative of unity that is -1.

Let the slope of line which we have to find be m also we have slope of given line as 1/2.

∴ m(1/2) = -1

∴ (m/2) = -1

∴ m = -1(2)

∴ m = -2.

Now as we know that line passes through the point given as (7,-7) and has slope m = -2.

Therefore equation of a line passing through a point (x₁, y₁) and have slope m will be given as

  y - y₁ = m(x - x₁)

∴ y - (-7) = -2(x - 7)

∴ y + 7 = -2x -(-7)

∴ 2x + y = 7 - 7

∴ 2x + y = 0

For more details about slope of line visit the link below

https://brainly.com/question/16949303

#SPJ2

There are 230 cal in 4 ounces of a type of ice cream how many calories are in 6 ounces of that ice cream

Answers

There are 345 cal in the 6 ounces of that ice cream

Answer:  345 cal

Step-by-step explanation:

Solution 1:

230/4 = x/6

4x = 6(230)              use cross multiply

4x = 1380

x = 345 cal

Solution 2:

Cal in 1 ounces: 230/4 = 57.5cal/ounces

Cal in 6 ounces: 57.5cal/ounces x 6 = 345 cal

Find the value of x. Round to the nearest degree as needed.

Answers

9514 1404 393

Answer:

  x° = 59°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations. The one applicable here is ...

  Tan = Opposite/Adjacent

  tan(x°) = 5/3

  x° = arctan(5/3) ≈ 59.04°

The value of x is about 59.

Describe the translations of the function f(x) = - ½ (x – 3)2 + 4.
a. reflection, stretch, right 3 and up 4
b. reflection, shrink, right 3 and up 4
c. reflection, shrink, right 3 and down 4
d. shrink, right 4 and down 3

Answers

Answer:

b. reflection, shrink, right 3 and up 4

Step-by-step explanation:

- : reflection across x axis

1/2 : compression vertically by a factor of 1/2

x - 3: shift right 3 units

+ 4: up 4 units

How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,

Answers

Answer:

3 toothpicks make a triangle  x =3

Step-by-step explanation:

Domain and range math question. Help if you can

Answers

D: (-∞, ∞)
R:(-∞, ∞)
Let me know if you don’t want it in interval notation form

how to write "The product of a number and -2 increased by 10"? ​

Answers

(x•-2)+10 I’m pretty sure
Possible ways

2(x) + 10

x • 2 + 10

x(2) + 10

Give step by step instructions and the final answer on how to find the volume of a right square pyramid who has a slant height of 5 inches and the length of the base is 4 inches

Answers

Answer:

hopefully u understand

plz help in begging due soon

Answers

Answer:

Exponential growth; 40%

Step-by-step explanation:

Just to explain,

the equation A(t)=P(1+r)^t is the standard equation for exponential growth

what youre looking at is the 'r' portion which is the .4 in that equation

to get your percent from the decimal, move the decimal to the right 2 places to go from .40 to 40%

Triangle CDE is dilated by a scale factor of 1/ 3 to form triangle C'D'E'. Side CD measures 42. What is the measure of side C'D'? ASAP!!!

Answers

Answer:14

Step-by-step explanation:

The measure of C'D' is 14.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Triangle CDE is dilated by a scale factor of 1/3 to form triangle C'D'E'.

This means,

CD = 42

C'D' = 1/3 x 42 = 14

Thus,

C'D' is 14.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Danny purchased a large wheel of cheese at the farmer's market.What is the volume of the cheese, to the nearest cubic inch ?

Answers

Answer:

1105.84 in³

Step-by-step explanation:

The volume of the wheel can be obtained using the formular for the volume of a cylinder :

V = πr²h ;

Height, h = 5.5 in

Radius, r = 8 in

V = π * 8² * 5.5

V = π * 64 * 5.5

V = π * 352

Volume of wheel = 1105.8406 in³

Simplify and answer please

Answers

Answer:

its 2 to the 9th power

Step-by-step explanation:

It’s 2 to the 9th power

Please help math sucks

Answers

Formula: is/of = %/100

Angle P and angle Q make a
90° angle.
Angle P = 62°
Angle Q = 4x
What is the value of x?

Answers

sorry i really don’t know i just need to answer some questions so i can put up a question but 62 is the value of c

Hope this helps

Substitute the values of angles P and Q in an equation that equals 90 degrees

62° + 4x = 90°

Then isolate the variable by first subtracting 62 from both sides

62 + 4x = 90           →    4x = 28

-62           -62

Then divide both sides by 4

4x = 28               →  x = 7

/4    /4  

Other Questions
Why might video games increase creativity while the use of cell phones, the internet, or computers do not? Maria claimed that she could not see through the safety goggles and wore them on top of her head rather than over her eyes. While pouring an unknown chemical into a beaker, she accidently splashed some of the chemical in her eyes. What should Maria immediately do next? Do you think consuming pop culture is a good way to learn history? WILL GIBE BRAINLEST The figure is made up of two cones and a cylinder. Both cones and the cylinder have a 10 mm diameter. What is the exact volume of this figure? What is the volume of this figure? A.250(pi)mmB.4007(pi)mm C.6257(pi)mmD.2500(pi)mm What might happen to India farmers if the summer monsoons did not occur? When conflict occurs the best approach is to walk awayTrue or false Amnesty International is an international NGO focused on fighting human rights abuses around the world, including human enslavement, torture, and war crimes, and bringing violators to justice. The organization also works to aid people who have been falsely accused of crimes or have been persecuted for freely expressing themselves. One of the main goals is to change laws that are unjust.Amnesty International is concerned with issues associated withanimal welfare.health and health care.humanitarian disaster relief.social justice and equity.Answer is "Social justice and equity" 24x^6y^2-3x^2y^3Which expression is equivalent to?A. 6 x^4B. 21x^4 yC. 8x^4 - yD. 8 x^4 y What was a Border Ruffian? PLEASE HELP FAST WILL GIVE BRAINLIEST Solve for x leave your answers as a simplified radical Question 1 (1 point)If three shares of TSLA cost $2400, how much would 8 shares cost? a$6400 b$1100 c$5400 d$3200Question 2 (1 point)If twenty shares of GME cost $800, how many shares could I buy with $120? a16 b3 c4 d1600Question 3 (1 point)If 8 shares of BB cost $72, how many shares could I buy with $810? a90 b738 c72 d730Question 4 (1 point)If fifteen pencils cost $5, how much would 9 pencils cost? a$45 b$3 c$2 d$14Question 5 (1 point)If four shares of AAPL cost $480, how many shares could I buy with $3600? a30 b40 c36 d48Can someone help be with those this is worth 100 points A 20g bullet moving at 200m/s hits a bag of sand and comes to rest in 0.011s, calculate the momentum of the bullet just before hitting the bag The Transcontinental RailroadThe transcontinental railroad was built by the Central Pacific and Union Pacific Railroad Companies. Construction began in 1863. The two companies started on opposite ends of the country and built toward each other for seven years. During that time, both companies overcame many struggles. There were weather delays, and holes had to be cut through mountains. When finished, the railroad was 1,912 miles long and connected the country from coast to coast. Transporting passengers and goods was faster, easier, and less expensive by train.Use the passage to answer the question.Which conclusion does this text support? A. Building the railroad was a difficult process. B. People preferred riding in wagons to riding by train. C. The railroad workers enjoyed building the railroad. D. Building the railroad was an easy process.u get 100 points if u r correct How many formula units make up 25.8g of magnesium chloride (MgCl2)? Express the number of formula units numerically. compare two ways in which destructive relationships influence your well being as opposed to constructive relationships. Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The totalmass of her collection of books is 11 kilograms.How many large books does Annie have if she has 8 small books? Enter the answer in the box.large books Why was Jefferson Davis important during the civil war? What did he do. Small paragraph please! Simplify the expression when y = 6: 4y + (7 x 2) -13 The volume of a cylinder is 471 cm? If theheight is 6 cm, calculate the radius.Someone plz help