simplify and express in a + bi form: (12 + 3i) - (3 - 1)

Answers

Answer 1

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!


Related Questions

The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y

Answers

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

Brian wants a 7 and 1/2 foot Christmas tree. Which of these trees is a better buy? Explain. A.) All trees $42 B.) $6 a foot C.) First 4 feet $22; each additional foot $6

Answers

Answer:

A is the best buy.

Step-by-step explanation:

A

All trees 42 dollars.

B

1 foot   6

7 1/2 feet = x

x = 7 1/2 * 6

x = 45

C

First 4 feet = 22

3 1/2 feet * 6 = 21

Total = 43

Answer:

It is A.

Step-by-step explanation:

Hope this helped have an amazing day!

Can someone help me please

Answers

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

D is the correct answer

Two different crews earn different amounts for different hours they work.
Part A
The graph shows the proportional relationship
between the number of hours Crew A worked
and their total earnings
What is the constant of proportionality

Answers

Answer:120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

What is the answer to the division problem shown?
9)4590

Answers

510 would be your answer. I hope this helped! :)

Answer:510

Step-by-step explanation:Can double check internet

A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?

Answers

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.

Part A: Write an expression to represent how much money Sara earns in a day

Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction​

Answers

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

Identify the solution that has grouped the like terms correctly.

-2+6y+m-2y+8-4m


Answers

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form

Answers

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

9x2=18

6x3=18

1x18=18

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

Hope this helped have an amazing day!

A used automobile dealership recently reduced the price of a used compact car by 12%. if the price of the car before discount was $34,500, find the new price.

Answers

Answer:

Step-by-step explanation:

30,360

Solve for the variable using Trig ratio.

Answers

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?

Answers

Answer:

36 degrees

Step-by-step explanation:

So, first of all, the interior angles of any triangle add up to 180.

First, you add up all the numbers in the ratio.

13+23+9=45

180/45=4  [To find out how much each piece really equals]

So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.

4*9=36

Hope it helped, tell me if it's wrong, I'll correct it.

Answer:

36

Step-by-step explanation:

Ratio = 13 : 23 : 9

The interior angles are = 13x , 23x , 9x

13x + 23x + 9x = 180 {Angle sum property}

                45x = 180

                   x = 180/45

                  x = 4

Most acute angle = 9x = 9*4 = 36

Find m∠1. Then classify the triangle by its angles

Answers

9514 1404 393

Answer:

∠1 = 60°equilateral triangle

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  60° +60° +∠1 = 180°

  ∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

Simplify the square root of 27x^12/300x^8

Please show work I'm really confused
WILL GIVE BRAINLIEST AND 40 POINTS

Answers

Answer:

(3/10) * (x ^ 2)

Step-by-step explanation:

The first thing we are going to do is rewrite the expression correctly.

We have:

root (27x ^ 12 / 300x ^ 8)

Rewriting:

root ((27/300) * (x ^ 12 / x ^ 8))

root ((9/100) * (x ^ (12-8)))

root ((9/100) * (x ^ (4)))

root ((9/100) * (x ^ (4)))

3 * x ^ 2 * root ((1/100)

(3 * x ^ 2) / 10

(3/10) * (x ^ 2)

Can somebody plz help answer this word problem (showing the steps to get answer) thanks!


WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDDDD

Answers

Answer:

528 cookies

Step-by-step explanation:

3 hours 55 minutes

=3×60+55

=235 and

235-215 ( for preheating minutes)

220

So

20 minutes…=48 cookies

1. ". =48/20 "

220 ". =48/20×220 "

=12/5×220 "

= 528 "

Answer:

well im not sure but i got 220

Step-by-step explanation:

so you convert the 3 hours and 55 minutes into minutes so

3*60=180

180+55=235

235-15=220

(for the preheating part)

220/48=4.583333333

4.583333333*48=(about)220  (actual number is 219.999999984)

so 220 cookies

In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19

Answers

Your answer is going to be A. 7 daisies being the 7, and 19 being the roses in a 7 to 19 ratio. Therefor, your answer is A

Answer:

A

Step-by-step explanation: : )

ASAP I NEED ANYBODY GOOD AT MATH TO HELP ME OUT WITH 7 THROUGH 12

Answers

Answer:

7. No becuse it needs to be 0,0 to be a proportional relationship

8. No it need to be a straight line to be a proportional relationship

9. No because people choose how many to pay per month so its diffrent

per month

10. No it doesn't have a constant rate

11. Yes because it has a constant rate Ex. 1 year=1 birthday, 2 years=2 birthdays the constant is 1

12. You think of it but here's an example. You need 1 gallon of gas per 1 mile you travel

please Solve for x. ​

Answers

Answer:

A: x = 20

Step-by-step explanation:

Answer: Its x=40

Step-by-step explanation: multiply 20 by 50 then divide the answer by x i got a 100 so yeee

I need help ASAP!!!!

Answers

Answer:

12/50 - 6/25 The simplest form in 6/25

Hope This Helps!

At science camp, the kitchen served half of their blueberries with breakfast. After dinner, they put the remaining 5{,}270 \text{ g}5,270 g5, comma, 270, start text, space, g, end text of berries on top of their ice cream dessert. How many kilograms of blueberries did the science camp start with?

Answers

Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

On the number line, what is the value of B?

— click on the picture for number line —

Answers

It’s -0.5




Can I have the brain thing
Answer: -.5

Plz give me brainiest

I’ll mark brainlist if you help me get the right answer for this

Answers

Answer: 16% of men wanted sports cars

Step-by-step explanation:

25% - 9% = 16%

Answer:

I believe its 66, I'm not fully sure

2=b-7 solve this question please​

Answers

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

PLEASE HELP ME OUT I NEED HELP

Answers

y=2/2x+2 or y=1x+2 i think

Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?

Answers

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

hii please help mee urgent :)

Answers

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Wich of the following appear in the diagram below NEED ANSWER QUICK​

Answers

The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y

Please help on question 12 or 13 as soon as possible

Answers

Answer:

to know the summation of angles: (n-2)*180

here (n) represent numbers of sides

12)we have 5 sides (n=5)

(5-2)*180=540

x=540-(105+135+92+87)=121

13)we have 8 sides (n=8)

(8-2)*180=1080

x=1080-(116+158+141+124+136+132+129)=144

I hope it will help

What is the value of x?

Answers

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6

Answers

Answer:

55 + 14[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis

= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms

= 55 + 14[tex]\sqrt{6}[/tex]

b +cV 6 ÷12a

Step-by-step explanation:

let meknow 8i I am wrong

Other Questions
free money $100,000 dollers$ try to get theme and you have a reward Disea una pgina wed de un producto o servicio libre a todo color, el nombre comercial que sea original creado por ti una pgina wed de un producto o servicio libre a todo color, el nombre comercial que sea original creado por ti Help2+6y=33 - 7=6 please help due in a couple of minutes Use the following information to answer questions 6 and 7:A61.0 kg grocery cart is sitting at rest. In order to change the cart's state of motion, Xavier must apply 72.1Newtons of force on the cart.6. How much magnitude of force does the cart exert back on Xavier's hand?A. 4400 NB. 1.20 NC. 72.1 ND. 0.00 NAfter 10 seconds, the dirt has achieved a velocity of +3.62 m/s. Xavier is still applying 72.1 Not force on thecart.7. Xavier's sister Maria claims that the cart is in dynamic equilibrium. Is Maria correct?A Maria is correct because the cart is traveling at a constant velocity while experiencing balancedforces.B. Maria is correct because the cart's velocity has changed.C. Maria is incorrect because the cart is traveling at a constant velocity while experiencingunbalanced forces.D. Maria is incorrect because the cart's velocity has changed Fill in the blank in the following sentence with the appropriate preposition. Note the cue in parentheses.Voy a hablar contigo ___ (after) la clase. Which expression is equal to 6.5(2r s) + 3.7r 1.25s written in simplest form?A) 16.7r-7.75sB) 16.7r-5.25sC) 13r-6.5s+2.45D) 13r-7.75s+2.45rs Complete with the correct form of allerNous ____________ au lyce vendredi soir pour voir le match de football amricain.Complete each question with the correct form of quel, quelle, quels, quelles_____________________est le nom de la bibliothque?Complete each sentence with the correct form of de (du, de la, de l, or des).Il parle ________ muses de Paris!Complete each question with the correct form of the interrogative words (Combien, quelle heure, Ou, qui)__________________sont les grands magasins?Complete with the correct form of the verb ALLER.M. Duval _________ lcole en voiture. $17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more$17.58 more PLZ FASTLEY ANSWER The images show two metamorphic rock samples.Left: light colored rock with coarse texture. Right: red and white rock with rounded grains and coarse texture.Which statement accurately describes these rocks?Both rocks are non-foliated.Neither rock has randomly arranged grains.Both rocks formed at Earths surface.Neither rock formed through extreme heat or pressure. 12. A company advertises on a website. A worker tracked the number of visits to thewebsite and the number of clicks on the advertisement. The table shows the datafor several days. A linear function can be used to model the data.Website AdvertisementNumber of Visitsto Website, XNumber of Clickson Advertisement, y14153629384713091453307211,04560510321,10663Based on the table, what is the best prediction of the number of clicks on theadvertisement if 1,500 people visit the website? WILL MARK BRAINLIEST help please and maybe explain the answer if you have time Sophia's dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas a study of the byzantine civilization would show that this civilization Which modern-day nations occupy much of the territory of the Khmer Empire? A recipe requires 4 cups offlour to make 3 dozencookies. How many cups offlour are needed for 10dozen cookies? .Calculate the potential energy of a 6 kg bowling ball suspended 3 m above the surface of the Earth. 23. Soluble salts can be prepared usingthe following methods except byA. action of dilute acids onmetals.B. action of dilute acid on aninsoluble base.C. direct combination ofconstituent elements.D. neutralization reactions.E. precipitation from solutions,help ple*zzzz*zzz* Pls help me on this