Add the following complex numbers: (2 + 3i) + (3 - 2i)

Answers

Answer 1

Answer:

5 + i

Step-by-step explanation:

Combine real part ans combine imaginary parts

2 + 3i + 3 - 2i = 2 + 3 + 3i - 2i

                      = 5 + i

Answer 2

Answer:

5 and 1i

Step-by-step explanation:

So you’re adding the following complex numbers: (2 + 3i) + (3 - 2i)

normally if you see a (-) in front of a number, that means it’s negative so we’re gonna think about this as -2i and positive 3.

so you’re gonna want to take the 2 regular while numbers (without the variable) and then add those together. they’re like numbers so neither of them have a variable, which means they can easily be added, but you can’t add a number like 7 to a number like 9h because there’s a variable.

Now that you’ve added the 2 and 3, you get 5 right? so now you’re gonna take the 3i and -2i, and add those together. since the number 3i is bigger than -2i, the ending number after you add those is gonna be positive, and it’s gonna be 1i.

now i’m not sure if you’re supposed to make an equation out of this but you’re answer will be 5 and 1i or 5 + 1i

also if you don’t want to put 1i, 1i is the same as just “i”. so you can put 5 + i :)

hope this helped!!


Related Questions

A group of friends wants to go to the amusement park. They have $80 to spend on
parking and admission. Parking is $5, and tickets cost $18.75 per person, including
tax. Write and solve an equation which can be used to determine x, the number of
people who can go to the amusement park.
Equation:
DOLL

Answers

Answer:

4 people can go

Step-by-step explanation:

Answer:

Equation:  18.75x+5=80

Answer : x= 4

Frank, Grey, Hala, and Inez will ride in the same car on the field trip. Three of the children will sit in the back seat of the car. What are the 4 possible combinations of three children? Use the abbreviations F, G, H, and I in your list. (Hint: The order of the children does not matter.)

Answers

Answer:

(FGH ; FGI ; GHI ; HIF)

Step-by-step explanation:

Frank, = F

Grey = G

Hala = H

Inez = I

3 children sitting in the back seat :

Using combination formula :

4C3

nCr = n! /(n-r)! r!

4C3 = 4! / 1! 3!

4C3 = 4 / 1 = 4

The 4 Possible combinations are :

(FGH ; FGI ; GHI ; HIF)

To solve 3m - 5 = 196, what is the first step that should be performed? a. Add 5 to both sides. b. Subtract 5 from both sides. c. Multiply each side by 3. d. Divide each side by 3.

Answers

Answer:

add 5

Step-by-step explanation:

in algebra you do pemdas backwards

Brooke and Kaden each sold 15 boxes of cookies for $2.25 per box. How much
money did they collect together? Show your work.

Answers

Answer:

They sold 67.50 in total

Step-by-step explanation:

If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50

anton needs to buy 3.5 meters of cloth for their project in TLE. If 1 meter of cloth costs P35.00 how much will he spend for 3.5 meters of cloth?

Answers

Answer:

122.5

Step-by-step explanation:

At a sale, coats were sold for 52% of their original price. If the coats originally cost
$200 each, how much did a coat cost on sale?
Help me please

Answers

Answer:

Answer is 104

Step-by-step explanation:

The selling price of the coat is $104.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $200

Selling price.

= 52% of $200

= 52/100 x 200

= $104

Thus,

$104 is the selling price of the coat.

Learn more about percentages here:

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please help
step by step
thank you

Answers

Answer:

5/8+1/3=6/11

first u add the fraction and u get the answer of 6/11.

Answer:

7/24

Step-by-step explanation:

5/8 = 15/24

1/3 = 8/24

15/24-8/24 = 7/24

The question was what fraction of all the songs are jazz. Therefore you need to find the common denominator which is 24. (8x3 =24).

Next you Multiply 5x3 which equals 15 and then you multiply 1x8 which equals 8. (We do this because you need to multiply your numerator by the same number you multiplied your denominator with)

Finally, you subtract 8/24 from 15/24 which equals 7. (15-8=7 [make sure you keep your denominator 24] )

Therefore your answer is 7/24

Please help!! I'm in a hurry!

Answers

Step-by-step explanation:

sorry bud you ran out of time reading this

Reflection across the x-axis for (-3,-7)

Answers

(3,7) just change the signs

Answer:

(-3, 7)

Step-by-step explanation:

The formula for reflecting a point across the x-axis is (x, y) → (x, -y).

Substitute: (-3, -7) → (-3, 7)

I hope this helped! :)

What ordered pairs satisfy the function y=2/3+1

Answers

Answer:

2345678io90

Step-by-step explanation:

Prove: segment SD = segment PD
I think the answer is between C and D, which is the right one showing the triangle is ASA??

Answers

Answer:

C

Step-by-step explanation:

SD is congruent to PD and both triangles share the same side with each other.

What is the value of the expression below when x = -5 and y = -10
|3x - y| +4

Answers

Answer:

-1 is your answer for this mate

Matthew needs a new aquarium for his fish. The pet store has a fish tank in the shape of a rectangular prism that measures 5 feet long by 2 feet wide by 4 feet high. Matthew needs a fish tank that has a volume of at least 35 cubic feet. Will this fish tank be big enough?

Answers

Answer: Yes.

Step-by-step explanation:

5 • 2 • 4 = 40

I could use some help , i really cant do geometry :(

Answers

Answer:

I am not sure but for

CAE it is 65˚

CBD it is 65˚

Step-by-step explanation:

x+40=3x-10

Move the 3x to the other side by subtracting by 3x on both sides

x-3x+40=3x-3x-10

The equation now looks like this:

-2x+40=-10

Move 40 to the other side by subtracting 40 both sides:

-2x+40-40=-10-40

-2x=-50

Divide by -2 on both sides:

-2x/-2=-50/-2

x=25

Since we found out what x is we can replace x in both CAE and CBD:

For CBD: 25+40 is 65

For CAE: 3(25)-10 is 65

Answer:

m∠CAE = 65, m∠CBD = 65

Step-by-step explanation:

Line CA is a transversal of lines AE and BD which are parallel, in this case corresponding angles are congruent. ∠CAE and ∠CBD are corresponding angles so you can make them equal to each other. x+40=3x-10 -> 2x=50 ->x=25. Now that we have x just plug it into the equations 25+40=65 which is m∠CBD. 3(25)-10=75-10=65 is m∠CAE

Someone please help me out please

Answers

Step-by-step explanation:

the inequality is

0<=x<4

The average value of a function f on [a, b]
always lies between f(a) and f(b). Justify your answer.

Answers

Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

To learn more on Functions click:

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Which student evaluated the power correctly? Aida's Work 5 Superscript 4 = 5 times 5 times 5 times 5 = 625 Hector's Work 5 Superscript 4 = 5 times 4 = 20 Camila's Work 5 Superscript 4 = 5 + 5 + 5 + 5 = 20 Juan's Work 5 Superscript 4 = 5 times 5 times 5 = 125

Answers

Answer: Aida

Step-by-step explanation:

Superscript means to that power so 5 superscript 4 for means 5 to the 4th power

5x5x5x5

5x5=25 25x5= 125. 125x5= 625

Answer:

Its Aida

Step-by-step explanation:

The guy up there deserves brainly more than I do but...

Its correct on Edge 2021

I hope this helps you <3

Which of the following best describes the data?
10
8
7
6
5
4
3
2
1
50 100 150 200 250 300 350
The data have no observable association; there are too many
outliers to establish a trend.
The data form two clusters with an overall negative association.
The data clusters with a positive association, but with an outller
in the data.
The data form two clusters with an overall positive association

Answers

Answer:

The data have no observable association; there are too many outliers to establish a trend.

Step-by-step explanation:

Be happy I did your work for u :)

Show all work:

Write the problem
Inverse operation
Solve
Check
Solve

m - 7 = -10

Answers

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

Please help me WILL GIVE 20 POINTS

Answers

Answer:

10.8 in.; CE = √(82 + 62 + 42)

Step-by-step explanation:

I think this hint helps you

have a great day ahead

hey can someone double check my work pls​

Answers

Explanation

Here the question wants to find the range of function. Your answer is incorrect because you are confusing between range and domain.

What is domain?

Domain is the set of all x-values. That means any values that are part of x are subset of domain itself. We can find domain two ways which are

Relation methodGraph method

But we are not talking about domain as we are looking for the range of function.

What is range?

Range is the set of all y-values. In the relations or ordered pairs (x, y). Our y is the range. Range can also be called Co-Domain or Output. But of course, we are not talking about finding range using relation method. We are going to find range by looking at the graph.

The range starts from minimum value to maximum value. If there is another point between minimum value and maximum, just ignore it.

Here is a diagram or easier way to understand.

[tex] \boxed{minimum} \Longrightarrow \boxed{maximum}[/tex]

From the graph, our minimum is -5 and our maximum is -1. Notice that there is another opened point at -2 which we are supposed to ignore. Because both minimum and maximum are closed dots. Hence, we use >= or <= only.

Therefore the solution should be

[tex] - 5 \leqslant y \leqslant - 1[/tex]

Answer

[tex] - 5 \leqslant y \leqslant - 1[/tex]

......the correct answer is A

Is this right? ( Algebra 1 )

Answers

Step-by-step explanation:

x

2

12

x

+

27

=

(

x

3

)

(

x

9

)

Explanation:

x

2

12

x

+

27

Find two numbers that when added equal

13

and when multiplied equal

27

. The numbers

3

and

9

meet the criteria. The two factors are

(

x

3

)

(

x

9

)

.

find factors of 27 that add to 12

Which equation matches the graph

Answers

Pretty sure it’s c

If I am right pls mark brainliest

Noah is planning his birthday party. He is deciding between three themes: space, safari, and comics. He also has to determine where he wants his party, at a skating rink or a park. Lastly, he needs to pick the day of the week that the party will happen. His options are Friday, Saturday, or Sunday. How many different possible party outcomes does Noah have with all of these options? solve 1 2 3 4 5 by this math problem

Answers

Answer:

18

Step-by-step explanation:

because 3 themes times 2 places times 3 days of the week = 18 options

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .

Answers

Answer:

You can substitute

4

as

x

in the first equation because

x

and

4

are equal.

2

(

4

)

+

y

=

29

8

+

y

=

29

y

=

21

Step-by-step explanation:

Daniel wants to buy Five-sixths of a pound of pecans. Pecans cost $7.98 per pound. How much will Daniel spend on pecans?

A. $6.65
B. $7.15
C. $8.00
D. $10.00

Answers

Answer:

A. $6.65

Step-by-step explanation:

To find how much 1/6 is you divide $7.98 by 6 and so the answer is $1.33. Now multiply $1.33 by 5 to get 5/6 or get the answer $6.65.

For point-slope form, if one of the points is negative then would it become positive. For example, the point I have is (-4,3) and the slope is 1/3, if I'm doing point slope form would the 4 be positive, two negatives equal a positive, right? Then the answer would be y-3=1/3(x+4)

Answers

Answer:

yes

Step-by-step explanation:

Solve 4+x/7=2 50 points

Answers

Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

4+x/7=2

-4       -4

x/7=-2

*7    *7

x=-14

Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the triangle is 42 m² What is the length of the base?​

Answers

Answer:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Step-by-step explanation:

Area of a Triangle

Given a triangle of base B and height H, the area is calculated by the formula:

[tex]\displaystyle A=\frac{1}{2}BH[/tex]

Let's call x=base of a triangle

Since the height of the triangle is 5 m less than the base:

x - 5 = height of the triangle.

Thus, the area is

[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]

The value of the area is given as A=42 square meters, thus:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

A scientist is testing lake water at different depths. Order the samples of lake water from greatest depth to least depth. At what depth could the scientist take a new sample that would be shallower than the shallowest sample?

Answers

Many photosynthetic organisms and large amounts of light
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