What is the square of the complex number (i - 2)?
Select one:
O A. -4- 4i
O B. -4
O C. 3 – 4i
O D. 4- 4i
O E. 4+4i

Answers

Answer 1

Answer:

Step-by-step explanation:

Square of (i-2)=(i-2)^2

=i^2-4i+4

Since i^2=-1

So

=i^2-4i+4

=-1-4i+4

=3-4i

Answer is 3-4i( option c)


Related Questions

The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of variation in this scenario?

Answers

Answer:

27,576

Step-by-step explanation:

In the text it has a table that is titled Cost Source.

Cost Source Cost in U.S. Dollars

Operating Costs/Acre $27,576

Cash Overhead $4,873

TOTAL CASH COSTS/ACRE $32,449

It looks Somewhat like that.

The answer you can see was in Operating Cost/Acres.

Sydney cabs charge $3.60 Flag Fall plus $2.19 per km. (a) write down an equation to calculate the cost ,C, of cab fare for a distance of kilometers. (b) use your equation to calculate the cost of cab fare for a distance of 15 km

Answers

Answer:

C=2.19km+3.60

Step-by-step explanation:

If you traveled 15 km it would cost 36.45.

Have a nice night! (^-^)

120% is 24 whats the answer and how?

Answers

Answer:

Step-by-step explanation:

So the answer is 20.

24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20

Hope this helps ∞<3

(x-5) divided by (x^2+3x-40)

Answers

Answer:

1/ x +8

*The 1 over x + 8

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

[tex]\frac{x-5}{x^{2} +3x-40}[/tex]

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

[tex]8-5=3[/tex]

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]

Now let's go back to our original equation and substitute our old expression with the new one:

[tex]\frac{x-5}{(x+8)(x-5)}[/tex]

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

help please

What is the image of (-1,-8) after a reflection over the y-axis?

Answers

Answer:

(1, -8)

Step-by-step explanation:

You're going over the y axis which is along the x axis. So if you were to reflect across the y axis, the x point would be turned to opposite (1)

EXTRA POINTS PLEASE HELP I NEED IT WITHIN 1 HOUR I WILL MARK BRAINLIEST TYSM :)
You can just type it, you don't need to write it out on paper. You can if you want to though :)

Answers

Answer:

Step-by-step explanation:

1). segment AB ≅ segment CD    1). Given

2). segment FA ≅ segment EC    2). Given

3). ΔABF ≅ Δ DCE          3). HL

4). segment BF ≅ segment DE   4). Corresponding parts of congruent Δs

5). segment EF ≅ segment EF    5). Reflexive property

6). ΔDAF ≅ ΔBCE               6). SAS postulate

7). segment AD ≅ segment CB     6). corresponding sides of congruent Δs

I used word segment instead of dash above the letters.

Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gross Pay $37,600 $36,800 $38,100 $39,000 Paid insurance $2,800 $2,400 $2,100 $1,800 Paid time off $3,100 $3,600 $2,900 $2,500 Job expenses $1,200 $600 $300 $800 a. Company A b. Company B c. Company C d. Company D Please select the best answer from the choices provided A B C D

Answers

Answer:

b

Step-by-step explanation:

Ed2021

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

What is the net pay?

Net pay means take-home pay or the amount employees earn after all payroll deductions are subtracted from their gross pay.

Company A

Gross pay=$37,600, Paid insurance=$2800, Paid time off =$3,100, Job expenses = $1,200

Company B

Gross pay=$36,800, Paid insurance=$2,400, Paid time off =$3,600, Job expenses = $600

Company C

Gross pay=$38,100, Paid insurance=$2,100, Paid time off =$2,900, Job expenses = $300

Company D

Gross pay=$39,000, Paid insurance=$1,800, Paid time off =$2,500, Job expenses = $800

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay.

Wherever in all other cases that is in gross pay, paid insurance, paid off company C is not that much legging behind

Company D has greatest gross pay but has greatest expense also

Company A is at second position in paying  but also at 2nd in expenses.

Company B is least payer but do not have least expenses.

Company C  offers greatest total employment compensation since,  it has least job expenses  as compared to the other three and comparatively good gross pay. Therefore, option C is the correct answer.

To learn more about the net pay visit:

https://brainly.com/question/14690804.

#SPJ6

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.

Answers

Answer:

8

Step-by-step explanation:

Answer:D is incorrect

The length of a rectangle is 10 dm more than its width and its perimeter is 80 dm. find its dimensions.​

Answers

Answer:

the width is 15 and length  is 25

Step-by-step explanation:

PLS HELP! This is the last problem I need. After finding the length of P explain ur reasoning and I’ll give u brainliest!

Answers

Answer:

30 yards

.......................................................................................................................................

What is the answer? -5+(-4)=?

Answers

Answer:

Minus 9

Step-by-step explanation:

olve for x. 4x – 34 = 8x + 6 *
Solve for x. 4(-x + 1) + 4 = 6x + 10 *
How many solutions does this equation have? 2x + 7 = 4x - 10 *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? -3x + 12 = 12 - 3x *
No solutions
Infinitely many solutions
One solution
How many solutions does this equation have? 5x + 10 = 5x - 23 *
No solutions
Infinitely many solutions
One solution

Answers

Answer:

no sloution

Step-by-step explanation:

Which one is right *Will make BRAINLEST*

Answers

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Graph of a diagonal line on a coordinate plane going up and to the right with x-axis and y-axis. Co-ordinates are (0,0) and (2,8).

Answers

Answer:

i need the answerrrrr

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?

By what percent does the perimeter of the rectangle increase?

Answers

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

Which rule describes this transformation?

Answers

Answer:

d

Step-by-step explanation:

What is the inverse of the function f(x) = 2x - 10?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

Sherman is training for his bike.He rides his bike 6 1/4 miles in 1/3 hour.What is sherman’s rate in miles per hour

Answers

Sherman’s rate would be 17 1/4 miles per hour

can i get some help please

Answers

I love my daddy... my super hero

-2x^2– 196 = 0
What is the discriminate?

Answers

Answer:

-784

Step-by-step explanation:

Write the slope intercept form of the line that goes through points (5,6) and (2, 15)

Answers

Answer:

[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]

help me for 20 points

Answers

Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

Generate an equivalent expression for:

5(2x+3y)

plz asap also not a like high school answer i need this for a flip grid for class so please awnser quick I WILL GIVE BRAINIEST

Answers

Answer:

the answer is equal to 10x+15y

A clerical worker takes 2 times as long to finish a job as it does an executive secretary. Working​ together, it takes them 6 hr to finish the job. How long would it take the clerical​ worker, working​ alone, to finish the​ job?

Answers

Answer:

18 hours

Step-by-step explanation:

This problem is on Combined work rate

Step one:

given data

let the secretary take x hours to finish one job

so the clerical worker will take 2x hours to finish one job.

Both of them working together will take 6 hours

Step two:

The combined work formula is

T/A+T/B=1

Where T= time working together

A= time the Clerical worker spent alone

B= time the secretary spent alone

substituting we have

6/2x+6/x=1

solve for x

6+12/2x=1

18/2x=1

9/x=1

cross multiply

x=9 hours

the clerical worker take 2x hours

2*9= 18 hours

Santiago has p peppermints. Mitchell has 63 fewer peppermints than Santiago. Write an expression that shows how many peppermints Mitchell has.

Answers

p-63 ...........................

Write with fractional exponents. 6^5 square root x^2 y​

Answers

Answer:

6xy^2/5 what im assuming is right

Step-by-step explanation:

The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?

Answers

Aojsiwishsjwiksjshsjwjzbajjajshehehehe

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time a tower casts the shadow 40 m long on the ground. The height of the tower is : *

Answers

Answer:

60m tall

Step-by-step explanation:

Since this is a ratio problem and we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the height of the tower which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

12m height  <======>  8m shadow

x   height   <======>  40m shadow

(40m * 12m) / 8m = 60m height

Finally, we can see that the height of the tower is 60m tall.

CJ earned a score of 75% on his math quiz each question on the quiz worth one points in CJ got 18 question correct how many questions were on the quiz

Answers

Answer: 24 questions

Step-by-step explanation:

Let the number of questions on the quiz be represented by x. This means that 75% of x equals 18. We need to calculate x. This will be:

75% × x = 18

75/100 × x = 18

0.75 × x = 18

0.75x = 18

x = 18/0.75

x = 24

The quiz has 24 questions.

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