(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

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

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

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.

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:

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. 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]

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

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

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

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.

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?

PLEASE LAST ONE HELP!!!

Answers

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)


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.

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

x-40+9x-5 simplified

Answers

Answer:

your answer would be 10x-45

Step-by-step explanation:


















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

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

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

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!

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  

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!

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

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

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

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.

(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

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

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

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
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