(2 + 6i) (3 – 4i)
Simplify

Answers

Answer 1

Answer:

30+10i

Step-by-step explanation:

Just multiply as if they were polynomials, reminding that [tex]i^2=-1[/tex] by definition.

[tex] 6-8i +18i - (-1) 24 = 6+24 -8i +18i = 30+10i [/tex]


Related Questions

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer might be: 24

help!! show all steps!
Find SURFACE AREA ​

Answers

Ok done. Thank to me :>

Answer:

  132 cm²

Step-by-step explanation:

The area of the two triangular ends is ...

  A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles

The area of the three rectangular faces is ...

  A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)

  = (4 cm +3 cm +5 cm)(10 cm) = 120 cm²

Then the total surface area is ...

  triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²

1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:
g(f(-2))

Answers

Answer:

[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]

Cost $95 markup rate: 50%
PLS ANSWER THIS WITH AN EXPLANTION AND THE ANSWER 10 POINTS *PLS I NEED AN EXPLANTION (DONT ASK WHY THIS IS IN ALL CAPS) *ITS IN ALL CAPS SO YOU GUYS A SEE THIS CLEARLY*

Answers

It basically means that’s the cost of the product goes up by 50% when trying to sell again so when you bought that product it would be $47.50 but with the markup rate the person your selling it to would have to pay $95

PLEASE LAST ONE HELP!!!

Answers

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)

Drag and drop each reason next to the corresponding statement to prove ∠B ≅ ∠C, given point M is the midpoint of BC.

Answers

Answer:

1. Given

2. Definition of midpoint

3. Given

4. Reflexive property of congruence

5. SSS

6. CPCTC

Step-by-step explanation:

8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?

Answers

Let y-axis saving
X-axis weeks
Slope change in y-axis/x-axis
If at week 5 she has 85
85=6(5)+C
C=55
Y=6x+55

As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25​

Answers

Answer:

D. 7.25

Step-by-step explanation:

9.50-2.25=x

9.50-2.25= 7.25

The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data provide by the question,

Initial weight of puppy = 9/4 = 2.25 pounds.

After 1-year, weight = 9.5 pounds.

Weight gained by the puppy = 9.5 - 2.25 = 7.25

Therefore, weight gained by the puppy is 7.25 Pounds.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

If 2x +4= 36, what is the value of x?

Answers

Answer:

2x + 4 = 362x = 36-42x = 32x = 32/2x = 16

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

x-40+9x-5 simplified

Answers

Answer:

your answer would be 10x-45

Step-by-step explanation:


Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered?

Answers

Answer is 36. Hope this helps.

In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? % ​

Answers

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

work out the size of angle x

Answers

Answer:

66 degrees

Step-by-step explanation:

All angles together equal 180.

79 + 35 = 114

180 - 114 = 66

or

180 - (79 + 35) = 66

I hope that this helps!

Rearrange to make x the subject
4(x-3) =y
pls help

Answers

4(-3x)=y F f f f f f f f d d d d d d d d d d d d d d d d d d d d d d

which year in the 18th century was a perfect square

Answers

Answer:

THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century

What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)

B. 6(3.14)

C. 3(3.14)-2

D. 3(3.14)/3

Answers

Answer:

the correct answer is B

Step-by-step explanation:

I got it correct on 2021 edge

Estimate the sum of 462+526+856

Answers

So first round them to the nearest hundred so it’ll be 500+500+900. Then add them together to get 1900

Answer: 1844 because you just simply add 462+526+856=1844.


















write the equation in general form

Answers

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

divide four into twelve

Answers

Answer:

3

Step-by-step explanation:

Four circles and 12 dots, divide them equally into the circles.

Answer:

3

Step-by-step explanation:

It's kinda like multiplying 3 and 4 then get 12

What is 2x + 45?

Plz help, Wanna T.a.l.k?

Answers

X= 22.5 get the x by itself by dividing by 2

Answer:

It is linear

Step-by-step explanation:

I don't know if you needed it graphed or what was needed to solve your question

1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?​

Answers

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.

Answers

Where's your question?

The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.

Answers

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

Please Answer this (mathematics)

Answers

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?

Answers

Step-by-step explanation:

That's the answer! hope it helped!

Please help make sure to show your steps too, please

Answers

Answer:

Slope = -2

Step-by-step explanation:

Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:

Let (x₁, y₁) = (-4, 10)

    (x₂, y₂) = (0, 2)

The formula for solving for the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

where m represents the slope of the line.

Substitute the given values into the formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]

[tex]m = \frac{-8}{0 + 4 }[/tex]

m = -8/4

m = -2

Therefore, the slope of the line is -2.

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

The length of the missing side is 7.5

Step-by-step explanation:

let the missing side be x

[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]

98.01 = 42.25 + x^2

x^2 = 98.01 - 42.25

x^2 = 55.76

[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]

x = 7.5 or 7.47

what’s 4x+9-x-3x=9 ?

Answers

Answer:

x=0

Step-by-step explanation:

4x+9-x-3x=9

4x-x-3x=9-9

0x=0

x=0

PLS HELP ME IMMA CRY ONG

Answers

Since on the left, the top number is 2 less than the bottom number and on the right side, the top number is 2 less than the bottom number, you can conclude that s = 55.

Answer: 55

Step-by-step explanation:

I let Math- way do it

The 4th grade class met their goal of reading of certain amount of hours during the fall. They earned their skiing trip this winter sponsored by the parent-Teacher organization. if each ski ticket costs $28 and there are 86 fourth grades, how much does PTO need to pay for the tickets?

Answers

Answer:

$2408.

Step-by-step explanation:

28 * 86

Other Questions
When hydrogen sulphide is burnt in oxygen to form sulphur(is) oxide and what. How does the oxidation number of sulphur change? Which of the following is NOT a type of stress, according to the American Psychological Association? O Temporary Acute Episodic Acute O Chronic Acute O Acute In addition to emancipation, what did most abolitionists in North Carolina support?providing freed slaves with land in the westallowing freed slaves to become part of US societyexpanding slavery into western territoriesestablishing slave codes in the South A mountain climber encounters a crevasse in an ice field. The opposite side of the crevasse is a height h lower, and is separated horizontally by a distance w. To cross the crevasse, the climber gets a running start and jumps in the horizontal direction. If the height of the crevasse increases but the width remains the same, then, Select one: O a. the minimum speed needed to cross the crevasse stays the same. O b. the minimum speed needed to cross the crevasse will depend on the mass of the mountain climber. O c. the minimum speed needed to cross the crevasse decreases. O d. the minimum speed needed to cross the crevasse increases. O e. the minimum speed needed to cross the crevasse will depend on the weight of the mountain climber. 1. Given f(x) = 3x -4 and g(x)=-2x + 7. evaluate:g(f(-2)) 8th Grade MathJanelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form? explain why 85=[tex]\frac{8}{5}[/tex] Estimate the sum of 462+526+856 "This time, to Felix's surprise, it was Antonio who came out fast, charging across the boxing ring. Felix braced himself but couldn't ward off the barrage of punches. Antonio drove Felix hard against the ropes. The crowd ate it up, cheering wildly. Felix tapped his gloves and commenced his attack anew. Antonio, throwing boxers' caution to the winds, jumping in to meet him. Both pounded away. Neither gave an inch, and neither fell to the canvasBong! Bong! Bong! The bell sounded over and over again to end the round." (Piri Thomas, "Amigo Brothers")This passage creates a mood of ________.Question 5 options:fearfulnessapprehensionhostilityexcitement The Arts and Crafts movement was a type of rebellion to the over elaborate designs of the past, as it adopted more of a simplistic strategy. What do you think is the most important contribution the Arts and Crafts movement made to architecture and design, and why?Please actually answer the question. Don't copy and paste other answers to this question because trust me, I've looked and they're all incorrect answers I've found on this website. The drawing below illustrates an interaction between different substances. Which statement below best explains what the drawing illustrates? A. Compounds can combine to form different elements. B. Atoms of different elements can combine to form compounds. C. Atoms of different elements can combine to form other elements. D. Compounds can be broken down to into the various elements from which they are made. If 2x +4= 36, what is the value of x? The 1733 Slave Rebellion occurred in ____________, St. John. The leaders were ________ and Caus. During the revolt the rebelling slaves (State the damages done and the people killed))__________________________________________. After the revolt (State the punishments the slaves received)_____________. The revolt was a (success or failure? Why?). Pizza House offers 3 different salads, 7 different kinds of pizza, and 4 different desserts. How many different three-course meals can be ordered? Which organizational pattern best fits an essay that responds to this prompt? (Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps) how does a battery get its power? VI) Make sentences 1) Grim 2) Apologise 3) Threatening Drag and drop each reason next to the corresponding statement to prove B C, given point M is the midpoint of BC. which of the following had the most slaves of all the western territories?A.) KansasB.)New MexicoC.)OklahomaD.)Utah