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

can you please help me i need help!!

Answers

Answer:

A. The fraction 1[tex]\frac{1}{6}[/tex] would negative, since she is cutting off/losing hair rather than gaining it.

B. (this is just an improper fraction converted to have the same denominator as the second fraction, and is equivalent to  -1[tex]\frac{1}{6}[/tex] )--> - [tex]\frac{14}{12}[/tex] + [tex]\frac{5}{12}[/tex] = - [tex]\frac{9}{12}[/tex] or - [tex]\frac{3}{4}[/tex]

i just need help with this one question

Answers

Answer: 1/4 chance of picking red

Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4

Hope this helps!

Answer:

30/120

Step-by-step explanation:

Add 30+30+60

120/ 4 because 60/2 is 30 so thats two 30s

then there is a 30 out of 120 chance it is red

What is the y-intercept?
4

Answers

Answer:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)

Step-by-step explanation:

DESARROLLO:
Un capital de $5000 está depositado en un banco y produce un interés anual simple del 2% Recuerde: I = C. T.t
I = Interés
C = Capital.
T = Porcentaje como número decimal.
t = Tiempo en años.
Con esta información determine:
a) Escriba la función que representa el problema.
Calcule
b) ¿Cuánto dinero hay al cabo de un año?
c) ¿Cuánto dinero hay al cabo de dos años?
d) ¿Cuánto dinero hay al cabo de n años?
e) Realice una tabla de valores y su gráfico.
f) ¿Qué tipo de función representa la gráfica?

Answers

Answer:

C.¿Cuanto dinero hay al cabo de n anos

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 you +6.25 where you is the number of uniforms but if there are at least eight players but no more than 12 players on the team what is the domain you of the function for this situation

Answers

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

------------------------------

As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s

------------------------------

If we go by the equation, then:

f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds

The school that Trevon goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 11 student tickets for a total of $206. The school took in $232 on the second day by selling 9 adult tickets and 13 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answers

Answer:

just take A (adult) and S (student) and put  9a + 11s = 206 and 9a + 13 s = 232 and go from their

Step-by-step explanation:

how to figure out how many solutions 7y+13=5y-3

Answers

Answer:

7y+13=5y-3

7y=5y-16

2y=-16

Y=-8

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

You collect like times together.

7 y + 13 = 5 y - 3

7 y - 5 y = - 3 - 13

2 y = - 16

2 y / 2 = - 16 / 2

y = - 8

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

In rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.​

Answers

Answer:

D. 5.5

Step-by-step explanation:

Answer: 5.5

Step-by-step explanation:

KM=LN

6x+16=49

6x=33, x=5.5

When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

81538 ÷ 42 = _______ ( Round to four decimal places as needed) ASAP​

Answers

Answer:

1,941.381

Step-by-step explanation: Original answer is 1,941.38095

By rounding to the fourth decimal place = 1,941.381

Solve the proportion below. X/12=12/72

Answers

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

im not having a good day so maybe this will make someone elses a little bit better :) Heres 100 points.

Answers

Answer:

yo thank you man your the best

Tysm have a good day :)

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?

Answers

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

Lntegers 0, -2, -3, -4, -5, -6, -7, -8, and -10 to fill in a 3 x 3 magic square so that every row, column, and diagonal has the same sum. The sum must be -15.

Answers

The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.

Sum of all the integers is -45.

There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.

Put the number -5 at the center place in the magic square.

Now, take the integer having the largest magnitude, i.e -10.

There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).

Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).

Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).

What words do I fill the blanks in with? Please hurry <3

Answers

Answer:

It says why you suck at cooking

Hope this helps!! :D

The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?

Answers

Answer:

144 + 5 = 149

162 - 49 = 113

The truck cannot pass saftely under the bridge.

I hope this is helpful!

Step-by-step explanation:

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?

Answers

Answer:

38.4 minutes

Step-by-step explanation:

Assuming the error was 20% less

Answer:

40 mins

Step-by-step explanation:

Find x and y intercept and graph -3 + 2y = -5

Answers

x intercept = none
y intercept = -1

Answer:

( [tex]\frac{5}{3}[/tex] , 0 ) ; ( 0 , - [tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

- 3x + 2y = - 5

Coordinates of x-intercept are (x, 0)

- 3x + 2(0) = - 5 ⇒ x = [tex]\frac{5}{3}[/tex]

Coordinates of y-intercept are (0, y)

- 3(0) + 2y = - 5 ⇒ y = - [tex]\frac{5}{2}[/tex]

yall stay safe out here it is starting to get crazy pleas wear your mask so we can all be safe

Answers

yes

Step-by-step explanation:

i will 100% alsways wear a mask

Hopefully we can all go back to living normal life's sometime next year

2 1/2 + (-1/3)
PLz, help me with this question.

Answers

Answer:

2 1/6

Step-by-step explanation:

The unit price of a bottle of diet coke is $0.59 when sold in a package of 6. Individual
bottles cost $1.39 each. What is the least amount of money Mrs. Cosme can spend on 10
bottles of Diet Coke

Answers

Answer:

9.1

Step-by-step explanation:

he needs one box

he needs 4 individuals 1.39×4=5.56

6 x.59=3.54

5.56+3.54=9.1

x^2 plus 2y divideed by 2x plus 3z equal

Answers

Answer:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

--------------------

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

================

      2x + 3

or:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!!
Perform the operation below
(x 2+10x)+(4x−1)

Answers

Answer:

Step-by-step explanation:

x2 + 14x + 1

Answer:

x² + 14x - 1

Step-by-step explanation:

(x²+10x)+(4x−1)

= x² + 10x + 4x − 1

= x² + 14x - 1

2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48

Answers

2x2 − 12x + 21. Axis of symmetry. 2.

FIRST ANSWER WILL GET BRAINLIEST
Find the rate of change represented in the table
a) undefined
b) zero
c) -3
d) 3

Answers

Answer:

undefined i think

Step-by-step explanation:

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]


The slope of the line is

Answers

Answer:

-2

Step-by-step explanation:

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