Mathematics High School

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

Find the slope and y-intercept of the line.
4)
m=
b=

Answers

Answer:

m=y = 2x + 4.

y intercept is 4

Step-by-step explanation:

last question! please help this is due today!!!

Answers

195 time 1.6 would give you 312 km

5. What additional information would allow you to conclude
that WXYZ is a parallelogram?
A. XY ZW
C. WY ZW
B. XW ZY
D. ZXWY ZZYW
LOL HEY PLS HELP

Answers

Answer:

option c is the correct answer I am guessing

W(-1, 4), X(1, 2), Y-2, 1); k = 3

Answers

Answer:

what is the question

Step-by-step explanation:

get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is

SOMEONE PLEASE HELP ME WITH THIS I NEED TO PASS THIS PLEASE:/

Answers

Answer:

B

Step-by-step explanation:

the line has no slope

y = 5

Answer:

b

Step-by-step explanation:

-k+ 3k
Combining like terms and distributing

Answers

2k Is the answer bc k becomes -k multiply k and 3 multiply k and 1, the k just gets copied along the answer is k then 3*k evaluates to 3k -k+3*k evaluates to 2k

What is the area of the figure?
Enter your answer in the box.
in2

Answers

Answer:

The bottom edge of the right triangle is: 16in -10in = 6in

So the area of the triangle is: S1 = 1/2 (a x b) = 24/2 = 12m2

the area of a square is: S2 = a ^ 2 = 10 ^ 2 = 100m2

The total area of the figure is: S1 + S2 = 12 + 100 = 112 m2

Step-by-step explanation:

Which value of p makes the inequality p > 12 true?

Answers

Answer:

Any value over 12

Here are some examples: 13, 14, 15, 20, 25, 40, 100, 123, 2930

Step-by-step explanation:

The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 4 inches can hold 192 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 3 inches?

Answers

Answer:111

Step-by-step explanation:

please help!!! Im very confused, giving brainleist

Answers

Answer:

For the boys box, the answer is 8.

For the Girls top box the answer is 18.

Step-by-step explanation:

81/ 72=1.125

9/ 8=1.125

18/16=1.125

Hope this helps! :)

Plz help me cuz I’m slow lol

Answers

Answer:

The answer is A

Step-by-step explanation:

(-2,5).......

......

the answer would be (-2,5)

arthur is building a rectangular sand box for his son ther area of the sandbox is 17 23/32 square feet if the length of the sand box is 3 3/8 feet what is the width of the sand box​

Answers

Answer:

i think its uh carrot

Step-by-step explanation:

The answer is 5.25 ft

2000x 41- 3026555987623

Answers

Answer:

-3.026555905623

Step-by-step explanation:

.....

£1800 is invested for 3 years at 2% per year simple interest work out total interest

Answers

Answer:

£108

Step-by-step explanation:

the rule of the simple interest is:

I=PRT

P=£1800     R=0.02     T=3

I=1800×0.02×3

I=£108

What is the upper quartile, Q3, of the following data set?
42, 38, 29, 52, 55, 60, 26, 59, 32, 58, 46, 24, 33, 51, 25

Answers

UQ’s place = 3/4(n+1) so its 3/4 of 16 which is 12 so its the 12th place so its 24

Find the radius of the circle whose equation is x² + y² = 4.
4
2
16

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Which of the following is an example of a combination?
O A. Picking 3 books to take with you on vacation from a collection of
20 books
O B. Selecting a president, vice president, and treasurer
O C. The number of ways that 4 people can win 4 different prizes
O D. The number of ways that 7 books can be placed in a row on a
bookshelf

Answers

Answer:

a

Step-by-step explanation:

uh this is basic head knowledge for me i cant really explain

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17

Step-by-step explanation:

The answer is for your question is 17

Combine like terms
(4x^2+6x+7)−(−8x^2−2x+6)

Answers

Answer:

12x^2+8x+1

Step-by-step explanation:

What’s the value of x?

Answers

X = 39°. I hope this helps. Let me know if you need anything else.

PLEASE HELP!! THIS IS DUE IN 20 MINUTES AND I CANT FIGURE IT OUT!!
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)

Answers

Answer:

n = 8, -6

Step-by-step explanation:

If this does not help, let me know and I can edit my answer

1. What is the measure
of AB?
A
264°
B

Answers

AB= 96

How to:
360-264
B= 96°, a full circle is 360°
360°-264°=96°

identify the diameter of Q given that a= 169 pie in2

Answers

Answer:

the diameter will be D=26 in.

Step-by-step explanation:

The area of a circle is given by:

[tex]A=\pi R^{2}[/tex] (1)

Where:

A is the areaR is the radius of the circle

Now, we know that A = 169 π in²

So, we just need to use equation 1 to find R.

[tex]169\pi = \pi R^{2}[/tex]

[tex]R=\sqrt{169}[/tex]

[tex]R=13 \: in[/tex]

Therefore, the diameter will be D=2*R=26 in.

I hope it helps you!

The diameter of the circle is 26 inches

The area of the circle is given as:

[tex]A = 169\pi[/tex]

The area of a circle is calculated as:

[tex]A = \pi r^2[/tex]

By comparison, we have:

[tex]\pi r^2 = 169\pi[/tex]

Divide both sides of the equation by pi

[tex]r^2 = 169[/tex]

Take the positive square roots of both sides

[tex]r = 13[/tex]

Multiply by 2, to calculate the diameter

[tex]d =2 * 13[/tex]

[tex]d = 26[/tex]

Hence, the diameter of the circle is 26 inches

Read more about diameter at:

https://brainly.com/question/15673093

20 POINTS PLZ HELP

4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.

Answers

Answer:

mmm... i think its 6-

Step-by-step explanation:

Q2: Select the correct answer to each of the questions.
Vertex
X-Intercept
Axis of
Symmetry
Parabola
What divides a
parabola into 2
symmetrical
halves?
The graph of a
quadratic
function is called
a...?
What do we call
the
highest/lowest
point of a
quadratic?
O

Answers

I need a pic for this

PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!

Answers

Answer:

UT = 8

Step-by-step explanation:

From the picture, we can make the following equation...

5 + 2x - 6 = x + 6

By solving it we get

5 + 2x - 6 = x + 6

2x - 1 = x + 6

2x = x + 7

x = 7

Therefor if UT = 2x - 6, then UT is equal to...

2x - 6 = UT

2(7) - 6 = UT

14 - 6 = UT

8 = UT

please answer i will make brainiest

Answers

Answer:

you have to take away the 30 and put in the 70 from there by the 9

Step-by-step explanation:

use conquest of evaluation

The scale of a room in a blueprint is 5 in.: 9 ft. A wall in the same blueprint is 30 in. Complete the table.
Blueprint length (in.) 5
10
15
20
25
30
Actual length (ft)
9
How long is the actual wall?
The actual wall is
feet long
A window in the room has an actual width of 4.5 feet. Find the width of the window in the blueprint.
The width of the window in the blueprint is
in.

Answers

Answer:

54 feets

2.5 inches

Step-by-step explanation:

Given that:

Scale model:

5 in : 9ft

If 5 in = 9 ft

Hence, 1 in on the blue print equals

5 in = 9 ft

1 in = x

Cross multiply

5x = 9

x = 9/5 feets

Hence, 1 inches on the blueprint equals 9/5 feets actual

Blueprint length (in.) ___ Actual length (ft)

5 _________ 9

10 ________ 18

15 ________ 27

20 _______ 36

25 _______ 45

30 _______ 54

Hence ;

5 * 9/5 = 9 feets

10 * 9/5 = 18 feets

15 * 9/5 = 27 feets

20 * 9/5 = 36 feets

25 * 9/5 = 45 feets

30 * 9/5 = 54 feets

Window with actual width of 4.5 feets

Width of window in blue print :

Actual width ÷ 9/5

Actual width = 4.5 = 4 1/2 = 9/2

9/2 * 5 /9

= 5 /2

= 2 1/2 inches = 2.5 inches

the ratio is 3:1 how many parts are there​

Answers

I think it will be 6:2

Help with this please!

Answers

Hello,

No, this is NOT a proportional relationship.

Have a great day/night and stay safe! :)

Answer:

Draco is hot and sodapop is aswell Ig

Step-by-step explanation:

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