What is the sum of 12 – 5i and –3 + 4i?
–16 + 63i
9 – i
9 – 9i
15 – 9i

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{12 - 5i + ( - 3 + 4i)}[/tex]

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses

[tex] \longrightarrow{ \sf{12 - 5i - 3 + 4i}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ 12 - 3 - 5i + 4i}}[/tex]

Subtract 3 from 12

[tex] \longrightarrow{ \sf{9 - 5i + 4i}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{9 - i}}[/tex]

Hope I helped!

Best regards! :D

Answer 2

The sum of the given complex numbers is (9 - i) and this can be determined by using the arithmetic operations and the given data.

Given :

Complex numbers -- (12 - 5i) and (-3 + 4i)

The following steps can be used in order to determine the sum of the given complex numbers:

Step 1 - The arithmetic operations can be used in order to determine the sum of the given complex numbers.

Step 2 - The mathematical expression of the given situation is:

= (12 - 5i) + (-3 + 4i)

Step 3 - Add 12 and -3 in the above expression.

= 9 - 5i + 4i

Step 4 - Add -5i and 4i in the above expression.

= 9 - i

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Related Questions

Write the equation in point slope form of the line that passes through the given point with the given slope (4,-11);m=3/4

Answers

Answer:

okay i hope process is thiss

What is the value of x in this equation? 3x + 8 - 2(1 - x) = 1 Show how you got your
answer.

Answers

Answer:

3x+8-2(1-x)=1

First, multiply 2x1 and 2x-x

3x+8-2+2x=1

Then rearrange the terms

3x+2x+8-2=1

Then combine like terms

5x+6=1

Then subtract 6 on both sides

5x=-5

Then divide 5 on both sides

x=-1

Step-by-step explanation:

Value of x = -1

What is Equation?

when any mathematical values are made equal with help of some variables and constant.

Given equation 3x + 8 - 2(1-x) = 1

simplify equation 3x + 8 - 2 +2x = 1

5x + 6 = 1

5x = 1 - 6

5x = -5

x = -1

Hence x = -1

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Hiroshi is looking to update his hat selection, and has $300 to spend. If his preferred style of hat costs $50.30 including tax, how many can he buy?

Answers

Answer:

he can buy 5!

Step-by-step explanation:

50.30 * 5 = 251.5

if you add another hat it will be more than $300

Answer:

5

Step-by-step explanation:

300/50.30=5

You can only buy 5 because when you divided you got a whole number of 5.

500 kg 50 kg 1. Which statement below describes the motion of the boxes if the same amount of force is applied to each one? a. The 500 kg box will not move at all b. Al three boxes would move the same distance d. The 500 kg box would move the greatest distance. c The 5kg box would move the greatest distance.​

Answers

Answer:

C. The 5kg box would move the greatest distance.​

Step-by-step explanation:

the 50kg will move the greatest if the force applied to 500kg is the same amount of force applied to 50 kg.

the heavier, the harder to move

the lighter, the easier to move

therefore, the answer is C

C. The 5kg box would move the greatest distance.​

Answer:

C

Step-by-step explanation:

The 5kg box would move the greatest distance.​

2 is a common factor. u Tr u e u False

Answers

Answer:

true

Step-by-step explanation:

PLEASE PLEASE HELPPP DUE REALLY SOON: Which relationships have the same constant of proportionality between y and x as the following graph? (Choose two answers)

Answers

Answer is D cause the equation of the line is y=3x

A floor 10m by 40m is covered by square tiles 20cm. How many tiles are needed to cover the floor?

Answers

Answer:

10,000

Step-by-step explanation:

We can find the area of the floor in cm^2 and divide by the are of 1 tile in cm^2.

1 m = 100 cm

10 m = 1000 cm

40 m = 4000 cm

area of floor = LW = 1000 cm * 4000 cm = 4,000,000 cm^2

area of tile = s^2 = (20 cm)^2 = 400 cm^2

number of tiles = 4,000,000/400 = 10,000

Answer: 10,000 tiles

PLEASE HELP ASAP ITS TIMED

Answers

Answer:

the first two are yes the other two are no

Step-by-step explanation:

i just did this on edgenuity

I NEED THIS DONE IN 5 MINUTES PLS HURRY A teacher has 15 weeks in which to teach six chapters. Write an equation that represents the number of lessons the teacher must teach per week if there is an average of 8.5 lessons per chapter.

Answers

Answer:

The awnser might be 21.25 because you have to divide 8 by 6 then multiply 15 then you will get your awnser

Step-by-step explanation:

One tennis club charges $30 per session to play tennis. Another tennis club charges an
annual fee of $48 plus $22 per session. After how many sessions is the cost at the two
clubs the same?

Answers

Answer:

2 sessions for tennis and 1 for the other tennis club which would make it 60 each. 30 x 2 = 60 and 48 + 22 = 60

help me out with this question ​

Answers

The answer is: Length

The midpoint of AB is M(-5, 4). If the coordinates of A are (-4, 2), what are the coordinates of B?

Answers

Answer:

(-6, 6)

Step-by-step explanation:

Let the coordinates of point B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid-point formula:

[tex] - 5 = \frac{ - 4 + x}{2} \\ - 5 \times 2 = - 4 + x \\ - 10 + 4 = x \\ x = - 6 \\ \\ 4 = \frac{2 + y}{2} \\ 4 \times 2 = 2 + y \\ 8 = 2 + y \\ 8 - 2 = y \\ y = 6 \\ \\ (x, \: \: y) = ( - 6, \: \: 6)[/tex]

Thus, the coordinates of point B are (-6, 6).

The coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

The midpoint of AB is M(-5, 4).

The coordinate of A is (-4, 2)

Let the coordinate of B is (x, y)

By using the midpoint property:

(-4+x)/2 = -5

-4 + x = -10

As we know, the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

-4 + x = -10

It is a linear equation in one variable:

x = -6

Similarly for y:

(2+y)/2 = 4

2 + y = 8

y = 6

The coordinate of B is (-6, 6)

Thus, the coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

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The coefficient in the expression x + 7 is

Answers

the coefficient in the expression is x

Natasha makes on online purchase of 3 hard cover books for $19.95 each and 1 book on tape for $17.43. The site says that taxes paid by the customer are 7.25% of the total purchase price. Shipping charges are based on the following table: Amount of Purchase Standard Shipping Express Shipping up to $50 $5.10 $7.00 $50 up to $100 $6.35 $8.20 $100 up to $200 $7.80 $11.60 $200 and over $10.50 $16.45 Natasha selects standard shipping for her purchase and the company bills her credit card $91.08 for the total of the online purchase. Determine if Natasha has been billed correctly for her purchase. a. Natasha has been billed correctly. b. Natasha has not been charged enough for her purchase. c. Natasha has been over charged by $1.85 for her purchase. d. Natasha has been over charged by $8.20 for her purchase.

Answers

Answer:

C. Natasha has been charged by $1.85 for her purchase.

Step-by-step explanation:

Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase

Calculating the bill of a purchase

From the question, we are to determine if Natasha has been billed correctly for her purchase

From the given information,

She purchased  

3 hard cover books for $19.95 each

3 × $19.95 = $59.85

and

1 book on tape for $17.43

1 × $17.43 = $17.43

Total purchase = $59.85 + $ 17.43

= $77.28

But, the site says that taxes paid by the customer are 7.25% of the total purchase price

∴ The tax Natasha would pay = 7.25% × $77.28

= 0.0725 × $77.28

= $5.60

Add to the total purchase,

Present bill = $77.28 + $5.60

Present bill = $82.88

Then, she selects standard shipping.

According to the shipping charges,

For amount of purchase between $50 - $100, Standard shipping costs $6.35

∴ Total bill = $82.88 + $6.35

Total bill = $89.23

But, the company bills her credit card $91.08

Since, $91.08 is more than her total bill, $89.23, then, Natasha has been over charged.

$91.08 - $89.23 = $1.85

Hence, Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase.

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In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.

Answers

Answer:

362

Step-by-step explanation:

97tan(75

Anyone know the answers?

Answers

(6 + (-7) / 2 , 7 + (-6) / 2) = ( -1/2 , 1/2)

No santiago is incorrect, the midpoint G is at (-1/2 , 1/2)

15x - 2 + 5x + 3 = 5

20x + 1 = 5

20 x = 4

x = 2

No, Q is not the midpoint, because it is not halfway between P and R

999x645 using distributive property

Answers

Answer:1. distributive property

2. commutative property (the order of 8x and -24 is swapped)

3. reflexive property ((8-24) = -16; -16 is substituted for 8-24. I prefer "substitution property".)

4. commutative property (the order of 8x and -16 is swapped)

5. distributive property

Step-by-step explanation:

(40 B Points) Point A is located at coordinates -4,3 What are the coordinates of each point? Point B is the image of A after a rotation of 180 degrees using 0,0 as center. Point C is the image of A after a translation two units to the right, then a reflection using the x-axis. Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.

Answers

I need this same question ughh

      Coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

Rules for the transformation:    If a point P(x, y) is rotated by 180° about the origin (0, 0),

            Rule for the transformation will be,

            P(x, y) → P'(-x, -y)

   If a point P(x, y) is shifted 'a' units left and 'b' units upwards,

            Rule for the transformation will be,

            P(x, y) → P'(x - a, y + b)

   If a point P(x, y) is reflected across y-axis,

            Rule for the transformation will be,

            P(x, y) → P'(-x, y)

By using these rules,

"If a point A(-4, 3) is rotated 180° about the center (0, 0)"

Rule for the transformation,

P(x, y) → P'(-x, -y)

A(-4, 3) → B(4, -3)

"If a point A(-4, 3) is translated 2 units right and then reflected across x-axis."

Rule for the transformation,

P(x, y) → P'[(x + a), -y]

A(-4, 3) → C[(-4+2), -3]

            → C(-2, -3)

"If a point A(x, y) is reflected across y-axis, then translated by 2 units to the right"

Rule for the transformation,

P(x, y) → P'[(-x + a), y]

A(-4, 3) → D[(4 + 2, 3]

            → D(6, 3)

    Therefore, coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

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Annie says that the equation 2p+a=b+3p is solve for p. Is Annie correct? Explain

Answers

Answer:

p = a - b

Step-by-step explanation:

2p + a = b + 3p

a - b = 3p - 2p

p = a - b

Answer: p = a - b

Explanation:
2p+a=b+3p
subtract 2p from both sides
a=b+p
to get p alone subtract b from both sides

a-b=p

and that's your answer

Express the following in terms of i square root -63

Answers

Answer:

3i√7

Step-by-step explanation:

√63 √-1

i√63

i√9 √7

3i√7

solve for X : 2 ≥ x3=6


i will give brainliest

Answers

Here’s the answer hope it helps: x≤−18

Write these numbers in order of size. Start with the smallest number. 3/7,41%, 0.45,

Answers

Question: Write these numbers in order of size. Start with the smallest number. 3/7,41%, 0.45.

This is EASY! Here's your answer, hope it helps:

0.45, 3/7, 41%

Step-by-step explanation:

0.45 is first because it is the smallest percentile what i mean by this is anything with a point or anything with the number 0 comes first.... IF THE NUMBER 0 IS THE FIRST NUMBER OF THE NUMBER CHARACTERISTIC!

Why this is true? Well depending on your grade if you know your numbers... 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22... and so on. (You should know this if you are being asked this question). The rest are as simple as this.

3/7 comes next (the second highest number). How i know this is by reviewing the number chart listed above coming as the third highest number starting from 1 (1, 2, 3)

Lastly 41% is the last number/percentile. Which in conclusion on the number chart, YES! you cant find it because i stoped at number 22 and for your correct answer the number 41 is 19 numbers away from 22 which gives me the answer that the correctness to this question and format would be that 41% is the last number to this question.

If you have any more question over why i found this to be the correct answer please ask i will be glad to assist you. Thank you and have a great day!

Answer:

41%, 3/7, 0.45

Step-by-step explanation:

41% = 0.41

3/7 = ~0.43

0.45 =...0.45

I think there are 4 answers but you missed one when typing your question.

What is 1.4 in its simplest form? Fraction way​

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]1.4=\dfrac{14}{10}[/tex]

thanks

Answer:

the answer 7/5

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

A pair of opposite rays would be.
ray P and ray PZ
ray AP and ray BP
ray AP and ray PZ
ray PA and ray PB

Answers

Answer:

Option (4)

Step-by-step explanation:

Definition of a ray states that a segments which connects two points but extending only in one direction infinitely is called as Ray.

Opposite rays will have a common end but the direction of the arrows will be different.

Therefore, from the picture attached,

Opposite rays will be PA and PB.

Option (4) will be the correct option.

i gotchu .

Answer:

C. ray PA and ray PB

if you found this helpful follow me on ig at _.raamiyahh <3 .

What is the mid point between (3,-1) and (7,-5)

Answers

(5,-3) because trust me it’s right:)

Sara bought a 24-ounce can of tomato sauce for $6. What is the unit price per ounce? *

Answers

Answer: 25 cents

Step-by-step explanation:

24 ounces = 6 dollars. Divide 24 by itself to get 1 ounce. Then, divide 6 by 24 to get 25 cents.

The unit price per ounce is 25 cents.

It is required to find the unit price per ounce.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

We know that,

24 ounces = 6 dollars.

Divide 24 by itself to get 1 ounce.

1 ounces = 6/24 dollars.

1 ounces = 1/4 dollars.

1 ounces = 1/4*100 cents

1 ounces =25 cents.

Therefore, the unit price per ounce is 25 cents.

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if (x + y) +61 = 2, what is x + y?

Answers

X+y=2-61
x+y=-59
So u just need to group x and y and group the digits

Evaluate -x -2y if x = -2 And y = -3

Answers

Answer:

8

Step-by-step explanation:

-(-2)-2(-3)

2+6=8

Answer:

pretty sure it is 8

Step-by-step explanation:

2-2*-3 equals 8

A child randomly selects a jellybean from a jar of jellybeans. The probability that the child selects a grape jellybean is 7/22, and the probability that he selects a grape jellybean or a cherry jellybean is 13/23. What is the probability that the child selects a cherry jellybean?

Answers

Answer:

6/23

Step-by-step explanation:

Since there are 7 grapes and 13 grapes AND cherry. 13-7 is 6. So the cherry jellybeans will be 6.

2. Three numbers whose product is 64 are 2, 4,

and 8 because 2 x 4 x 8 = 64.

a. Find three numbers whose product is 2.4.

b. Find another set of three numbers whose

product is 2.4.

c. Find three numbers whose sum is 2.4.

d. Find another set of three numbers whose

sum is 2.4.

Answers

Answer:

A) 0.8 X 3 X 1 = 2.4

B) 0.3 X 2 X 4 = 2.4

C) 0.4 + 1.5 +0.5 = 2.4

D) 2 + 0.3 + 0.1 = 2.4

Step-by-step explanation:

A) To get three numbers whose product is 2.4, we will have to find out by multiplying three different decimal numbers to see if we can get 2.4. In other words, we are looking for factors of 2.4.

We can start by dividing 2.4 by three.

This will give 0.8 ( which is one of the numbers)

Recall that 1 is also a number and any number multiplied by 1 is itself. We can take one to be our third number.

Our three numbers are 0.8 X 3 X 1 = 2.4

B) To get another set of numbers, we can simply choose to divide 2.4 by 4.

2.4 / 2 = 0.6.

we can also divide 0.6 into 2.

0.6 / 2 = 0.3

Our other three numbers can be 0.3 X 2 X 4 = 2.4

C) Three numbers which can sum up to 2.4 are

0.4 + 1.5 +0.5 = 2.4

D) To get another set of numbers, we can simply break 2.4 up into other simpler numbers.

2 + 0.3 + 0.1 = 2.4

Answer:

The answer is A

Step-by-step explanation:

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