Complex Numbers


[tex]\frac{-1-2i}{-2+i}[/tex]

Answers

Answer 1
answer is i
also if you have more of these problems use (socratic) it works wonders!

Related Questions

Raju took 5/6 h to complete his mathematics homework. He took 1/5 h less to complete his english homework. how many hours did raju take to complete his english homework? what was the total time spent by raju on his homework?

Answers

Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

Christopher is hanging Christmas lights along the perimeter of his house by using his 15 foot ladder. The base of the ladder is placed 4 feet away from the base of his house. How far up the house does his ladder reach?

Answers

Answer:

14.45 feet

Step-by-step explanation:

The set up is a right angled triangle;

The length of the ladder = hypotenuse = 15foot

The base of the ladder is the adjacent = 4feet

The height of th house is the opposite = x

Using the pythagoras theorem;

hyp² = opp² + adj²

15² = opp²+4²

opp² = 15²- 4²

opp² = 225 - 16

opp² = 209

opp = 14.45feet

Hence the ladder reaches 14.45 feet up the house

A leather jacket is listed at $230 the discount rate is 25% off the list price what is the sales price of the jacket?

Answers

Answer:

Discount selling price= $172.5

Step-by-step explanation:

Giving the following information:

Selling price= $230

Discount rate= 25%

To calculate the discount selling price, we need to use the following formula:

Discount selling price= selling price*(1 - discount rate)

Discount selling price= 230* (1-0.25)

Discount selling price= $172.5

Karina bought 4 packages of the type of gum shown.
Fresh Mint Gum
Contains 3 Extra Bucks
• Each package contains 3 more than the usual number of sticks of gum
Karina bought a total of 60 sticks of gum.
Which equation could be solved to find n, the usual number of sticks of gum in each package?
0 4(n - 3) = 60
O4(n + 3) = 60
o 4n - 3 = 60
O 4n + 3 = 60

Answers

Answer:

Step-by-step explanation:4n+3=60

Car A drove 251.25 miles in 3 hours and 45 minutes. What was Car A's speed in mph?​

Answers

Answer:

73 MPH

Step-by-step explanation:

Solve the compound inequality: 2x - 4 5

Answers

Answer: 2x-45

Step-by-step explanation:

Let's simplify step-by-step.

2x−45

There are no like terms.

Answer:

=2x−45

Nene rnrkdkksnwbwbx djdkeksk

what expressions represent the distance between -3 and 4 on the number line

Answers

Its the first one |4+3| hope this helps glllll

Answer:

[tex]\\A. |4+3|\ , E. |-4-3|[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\Distance\ between\ two\ points\ on\ the\ graph= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\Point\ 1=(-3,0)\\Point\ 2=(4,0)\\Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2+(0-0)^2}\\ Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2}\\Distance\ between\ Point\ 1\ and\ 2\ =(4-(-3)\\=4+3\\As\ |-4-3|\ and\ |4+3|\ are\ absolute, they\ can\ be\ additively\ equal\ to\ each\ other.\\Hence,\\|-4-3|=|4+3|[/tex]

need this, please. real fast

Answers

Answer:

y=(-9/5)x-3

Step-by-step explanation:

to find m:substitute -5 in x value,-3 in c value and 6 in y value in the equation y=mx+c.then,rewrite equation by substituting value of m and c

Which is an equation for the line that contains (-1, -2) and has a slope of -5?

Answers

the equation would be y = -5x - 7

Tim had 55% off all the baseball cards ever made by Bob's Publishing Company. If he has 960 cards, how many had Bob's Publishing Company made?

Answers

the answer is 528 cards

Answer:

The answer is 528..

EASY ANSWER!! Which ordered pair is a solution of y<-4x – 5?

Answers

Answer:

5x -4 ?

Step-by-step explanation:

Which line is parallel to the line given y=- 4/3x+1

Answers

Answer:

Any other line with this slope (-4/3)

Step-by-step explanation:

A quick look at y= (-4/3)x + 1 tells us immediately the slope of the given line is (-4/3).  Any other line with this slope (-4/3) is parallel to y= (-4/3)x + 1.  Next time, please share the answer choices.  Thank you.

What equation can find the nth term in the sequence a3 =0, a4 = 6 a5= 12, a6= 18 and a7, = 24

Answers

Answer:

8=30

Step-by-step explanation:

you start of with 3=0 then it goes to 4=6 and then it goes to 5=12 as you go on you start noticing a pattern which is add 6 to the second number hope this helped i don't know if this is correct tho please comment and tell me if this correct im so sorry if it is wrong just using my knowledge

Answer is 8/30 because it goes to 5/4 and the it goes to 5/12

Lanny has 3/5 yard of ribbon he cuts it into equal pieces that are each 1/10 yard how many pieces can he cut?

Answers

Answer: 6 pieces

Step-by-step explanation:

3/5= 6/10

[tex]\frac{6}{10} / \frac{1}{10}= 6[/tex]

What is the solution to 39/45 - 2/3

Answers

Answer:

0.2

Step-by-step explanation:

just subtract

A tank full of water is leaking at a constant rate for 15 minutes. The equation
y=-8x+ 500
describes the amount of water in the tank, where y is the number of liters and
xis the number of minutes that has elapsed since the tank started to leak.
Which statement is true?

A. There were 8 liters in the tank when the leak started, and it is decreasing by 500 liters per minute.

B. There were 8 liters in the tank when the leak started, and it is increasing by 500 liters per minute.

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

D. There were 500 liters in the tank after 15 minutes, and it is
decreasina bv 8 liters per minute.

Answers

Answer:

C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.

Step-by-step explanation:

-8x is the rate of the leak and 500 is the initial value for water in the tank.

If X=-4 which inequality is true

Answers

The correct answer would be -4 because -4 is equal to -4

1. 34.5x when x = 4.2
evaluate the exprestion

Answers

144.9 is the solution for the expressy
149.1 that’s the answer

Quadrilateral JLKM has vertices j(7,9),k(0,-4),L(2,2), and M (5,-3).If the figure is reflected across the line y=x,What are the coordinate of M

Answers

plant rice Step-by-step explanation:

put water in bole put grass throw rice and make rice

F(x)=2x+4 and g(3)=x^2+3

Answers

The answer for g(3) is 12
F(x) would be that x is -2

what is the slope of the graph please help!!

Answers

Answer:

D 3

Step-by-step explanation:

Answer:

D) 3

Step-by-step explanation:

The rise of the line is 3 and the run is 1. Rise/Run is the answer so in this case, it is 3/1 or 3. Since the line rises left to right, the slope is positive.

Hope it helps!

Which rule explains why these triangles are congruent?

AAS
SAS
ASA
These triangles cannot be
proven congruent

Answers

Answer: SAS

Step-by-step explanation: by using the reflective property the line in the center it’s the missing “S”

Sas ..................

URGENT LAST QUESTION OF MY END OF QUARTER TEST! 30 POINTS
find JL in rectangle JKLM if JK=12 and JM=9.

Answers

Answer:

15

Step-by-step explanation:

If you do the Pythagorean theorem or use the right triangle triples, you’ll get 15 as your answer, hope this helps :)

A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F, in newtons, N, is: F = 0.5 + 0.004(x + 50)(x-2.5). At what speed in meters per second does the ball have a force of 0.5 N, on it?

Answers

Answer:

x = 2.5m/s.

Step-by-step explanation:

Given that F = 0.5 + 0.004(x + 50)(x – 2.5), where x is the speed in m/s and F is the force in N. To know the speed, x, with F = 0.5N, we have:

0.5 = 0.5 + 0.004(x + 50)(x – 2.5)

This gives

0.004(x + 50)(x – 2.5) = 0 (after adding –0.5 to both sides).

For the multiplication to be 0, (x + 50)(x – 2.5) = 0 because 0.004 is not equal to 0.

Hence

x = –50 or x = 2.5

Since it is said from the question that x is positive then x = 2.5m/s.

CAN YALL PPLZZZZ HELP ME I NEED HELPPPPPPPPPPPPP

The base of a 25-foot ladder is positioned 10 feet from the bottom of the building it leans against. An extension can be pulled out to make it a 30-foot ladder.

Part A

Without the extension, can the ladder reach a window that is 24 feet above the ground? Justify your reasoning with mathematics.

Answers

Answer:

Sorry can't help

Step-by-step explanation:

:p

Answer:

no it can not

Step-by-step explanation:

It is to short

What is the value of 1 – 2sin^2(105°)?

Answers

Answer:

Step-by-step explanation:

1-2sin²∝=cos 2∝

1-2sin²(105)=cos(2×105)

=cos 210

=cos (180+30)

=-cos 30

[tex]=-\frac{\sqrt{3}}{2} \\[/tex]

The correct answer is option A which is the value of the expression is -√3/2.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The expression will be solved as:-

1-2sin²∝=cos 2∝

1-2sin²(105)=cos(2×105)

1-2sin²(105=cos 210

1-2sin²(105=cos (180+30)

1-2sin²(105=-cos 30

1-2sin²(105 = -√3/2.

Therefore the correct answer is option A which is the value of the expression is -√3/2.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Matthew drove 15 miles in į hour. What was Matthew's average speed?
O A. 90 miles per hour
O B. 62 miles per hour
O C. 124 miles per hour
O
D. 60 miles per hour
Pls HELP

Answers

Answer:

d. 60 miles per hour.

Step-by-step explanation:

In many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a parade float.

1

54
2

58
3

62
4

66

Which equation best describes these data?

Answers

Answer: C.  n = 4r + 50

Step-by-step explanation:

The equation is in the form: y =mx + c

y is the number of flowers used.

x is the row number.

Solving for m. Pick any two points. (1, 54) and (2, 58)

m = (Y₂ - Y₁) / (X₂ - X₁)

= (58 - 54) / (2 - 1)

= 4

Solving for c. Use a point to fill up the formula and find c; (1, 54)

y = mx + c

54 = 4 * 1 + c

c = 54 - 4

c = 50

Formula will therefore be;

y = 4x + 50

or;

n = 4r + 50

August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?

This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!

Answers

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14

plz hel asap plz brainliest
\

Answers

Answer: B

Step-by-step explanation:

There are several ways to solve this problem, but I think the easiest way is just to find the mean.

There are 12 total data points, and adding them all up you get 266.

mean = 266/12 = 22.167

The line in the middle of the box plot represents the mean, so the answer must be B.

Answer:

B

I hope this helps!

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