In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordinates (r, θ) represent the same complex number?

r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction)

Answers

Answer 1

Answer:

The correct option is;

r = √(x² + y²)

θ = tan⁻¹(y/x)

Step-by-step explanation:

The rectangular coordinate of a complex number on the complex plane is given as (x, y)

Given that the complex number is represented by a point on the plane, we have;

The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)

The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)


Related Questions

Proceeds to rob your house

Answers

Answer:

proceeds to scroll on iphone

Exercice 2: Un remorqueur tire un bateau à la vitesse de 10 noeuds. La tension du câble est de 2500N, Le câble est parallèle à la trajectoire. Calculer la puissance correspondante. (Une vitesse moyenne de 1 noeud correspond à un parcours de 1 mille marin, soit 1852 m, en 1 heure. D'où : 1 noeud = 1,852 km/h = 0,514 m.S")

Answers

Répondre:

1 285 watts

Explication étape par étape:

La puissance est exprimée selon la formule;

power = travail effectué / temps

Puissance = Force * (distance / temps)

Depuis Vitesse = distance / temps

Puissance = Force * vitesse

Donné

Force = 2500N

Vitesse (en m / s) = 0,514 m / s

Obligatoire

Puissance

Remplacez la formule donnée;

Puissance = 2500 * 0,514

Puissance = 1,285Watts

Par conséquent, la puissance correspondante requise est de 1285 watts

Can someone help me solve this problem?

-1= 3 + 4×​

Answers

Step-by-step explanation:

hope this helps

If the given is -1= 3 + 4x then the answer is x= -1

-1= 3 + 4x

-1-3=4x

-4=4x

To find the x divide both sides by 4.

-4/4=4x/-4

x= -1

Select the correct answer. If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total number of marshmallows is given by the expression 5(x + 12). Identify an equivalent expression. OA X + 12 B. 2x - 60 C. 5x + 60 D. 2x - 60

Answers

i think that the answer is  B. 2x-60

4x+y=6
y=-4x-1
HELP ME

Answers

Answer:

No solution

Step-by-step explanation:

Given

4x+y=6 y=-4x-1Solution 1

Substitute y in the first equation:

4x + (-4x - 1) = 64x - 4x =6 + 10 = 7

Incorrect, therefore no solution

Solution 2

Writing both equation as lines:

y = -4x + 6y = -4x - 1

As we see both lines have a same slope. It means they are parallel and no intersection.

2.8 - 0.92 mathematics

Answers

If you subtract 2.8 from 0.92, you will get 1.88

3. Maria bought 96 toys priced equally for $12960. The amount of $1015 is
still left with her. Find the amount she had originally.

Answers

Answer:

13975

Step-by-step explanation:

there were 8 times as many blue cubes as red,in a box there were 6 red cubes.How many blue cubes were there

Answers

48

Step-by-step explanation:

The question is in the image. Thanks for your help!

Answers

Answer:

The value of x is 12 is not true.

Step-by-step explanation:

Since the line intersecting them are at a diagonal, it is not possible that the other of the lines both equal 115. Everything else in the choices is true.

Which of the following are used in an electrochemical cell?
A. electrodes
b. electrolyte
c. terminals
d. all of the above​

Answers

Answer:

b

Step-by-step explanation:

i tookthe text and it was corect

Answer: The answer is D. trust me

Step-by-step explanation:

A baseball team played 30 games throughout their entire season. They won 24 of
them. What percentage did they win?
What part of the percent proportion are you missing?

Answers

Answer:

1.25

Step-by-step explanation:

hope this help

Express 5% as a decimal

Answers

Answer:

.05

Step-by-step explanation:

you divide 5 by 100 which makes it .05

The distance between the market and the bakery is 100 yards between the bakery and the flower shop is 150 yards and between the flower shop and the market is 76 yards do these three locations form a right triangle?

Answers

Answer:

no

Step-by-step explanation:

Which property of multiplication is shown by the equation 14 • y • 1 = 14y?


Group of answer choices

Associative

Distributive

Commutative

Identity

Answers

Answer:

Multiplicative identity is the property shown by this equation

Step-by-step explanation:

Multiplicative identity is explained as the product of any number and one is that number. Multiplicative identity is a property exhibited by most of the mathematical tools.

Zero and one are the numbers used to simplify equations whereas zero is called the additive identity. If we add any number with zero, it will result in the same in number.

Like that 1 is used in multiplicative identity.  More simple example could be  5 ˣ 1 = 5 ., it is the multiplicative identity  property

Is it true or false?

Answers

Answer:

true

Step-by-step explanation:

Brainliest?

HELPPP ASAP WILL MARK BRAINLEST!!!

Answers

Answer:

Step-by-step explanation:

answer 1- 4

answer 2- 2

Solve the system by elimination . 2x-y=10 , -3x+y=-12

Answers

Answer:

x would equal 2 and y would equal -6 so, (2,-6)

Step-by-step explanation:

Answer:

x = 2

y = -6

Step-by-step explanation:

add the equations

2x-y=10            

   +          

-3x+y=-12

-x =- 2

x=2

substitute

2x-y=10

2(2)-y=10

-y=6

y=-6

This year, another herd of bison had a 10% decrease in population. If there are 550 bison in the herd this year, how many bison were there last year?

Answers

Answer:

612 i believe

Step-by-step explanation:

The answer is 612. :)

The radius of a circle is 1 mm. What is the circle's circumference? ​

Answers

Answer:

C≈6.28mm

Step-by-step explanation:

C=2πr

= 2·π·1≈6.28319mm

Answer:

6.283 mm

Step-by-step explanation:

the equation for circumference is 2[tex]\pi[/tex]r

if the radius is 1 then insert it

c=2[tex]\pi[/tex](1)

c=6.283 mm

The weight of bags of coffee beans at the grocery store follows a Normal distribution with a mean of μ = 7 ounces and a standard deviation of σ = 2 ounces. Suppose we pick four bags of coffee beans at random from the shelf and find their total weight, W. Which of the following statements describes the random variable W?

A. The random variable W is Normal, with a mean of seven ounces and a standard deviation of two ounces.
B. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of 16 ounces.
C. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.
D. The random variable W is binomial, with a mean of 28 ounces and a standard deviation of four ounces.
E. The random variable W is binomial, with a mean of seven ounces and a standard deviation of two ounces.

Answers

Answer:

C.

Step-by-step explanation:

The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.  

mean of total = 7+7+7+7 = 28

Variance of total = 4+4+4+4 = 16

SD of total = sqrt(16) = 4

Solve x2 + 9x + 9 = 0. (2 points)

a
quantity of negative 9 plus or minus 3 square root of 5 all over 2

b
quantity of 9 plus or minus 3 square root of 5 all over 2

c
quantity of negative 9 plus or minus square root of 117 all over 2

d
quantity of 9 plus or minus square root of 117 all over 2

Answers

Answer:

Letter A.

Step-by-step explanation:

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

The solutions to the quadratic equation are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Option A is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Quadratic equation x² + 9x + 9 = 0.

a = 1, b = 9 and c = 9

We can use the quadratic formula.

x = (-b ± √(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

Now,

Plugging in the given values.

x = (-9 ± √(9^2 - 4(1)(9))) / 2(1)

Simplifying.

x = (-9 ± √(81 - 36)) / 2

x = (-9 ± √(45)) / 2

x = (-9 ± 3√(5)) / 2

Therefore,

The solutions to the quadratic equation x^2 + 9x + 9 = 0 are:

x = (-9 + 3√(5)) / 2 or x = (-9 - 3√(5)) / 2

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

During a basketball game, Isaias attempted 20 baskets and made 6. What percent of the baskets that he attempted did he make?

Answers

Answer:

30% hope this is rightttt

It's 12:18 What time will it be 45 minutes from now

Answers

Answer:

yes

Step-by-step explanation:

Answer:

1:13

Step-by-step explanation:

6x - 4x - 2 + 11x help pls

Answers

Answer13x-2

Step-by-step explanation:

6x-4x=2x+11x=13x

13x-2

There are 40 students in a class and 30% of these students passed their history test.
What number of these students passed the test?
What part of the percent proportion are you missing?

Answers

Answer:

12 10

Step-by-step explanation:

Malawi exports approximately 1 × 10 3 metric tons of coffee per year, and Venezuela exports approximately 3 × 10 4 metric tons of coffee per year. Approximately how many times greater is Venezuela's coffee export amount than Malawi's?

Answers

Answer:

Venezuela's export of coffee is 30 times greater than Malawi's.

Step-by-step explanation:

Malawi's exports = 1 × 10³ = = 1 × (10 × 10 × 10) = 1 × 1000 = 1000 metric tons

Venezuela's exports = 3 × 10⁴ = 3 × (10 × 10 × 10 × 10) = 1 × 10,000 = 30,000 metric tons

To find by how many times greater is Venezuela's coffee export amount than Malawi's, we will divide the former by the later.

[tex]\frac{Venezuels's\ export}{Malawi's\ export} = \frac{30,000}{1000} = 30[/tex]

Therefore, Venezuela's export of coffee is 30 times greater than Malawi's.

hurrryrryryryuwguygwefgeiuwfgiurgfiurefrfrefreferfre

Answers

Answer:

-11/3= -3.6 repeating

Step-by-step explanation:

Plz mark B R A I N L I E S T

Answer:

Exact Form:

-11/3

Decimal Form:

-3.6

Mixed Number Form:

NEGATIVE 3 AND 2 THIRDS

Step-by-step explanation:

M< VST = (5x+23)° and m< VUT = (8x-49)° find m< SVT

Answers

Answer:

<SVT = 37°

Step-by-step explanation:

Hi if y’all would like to help I would rlly appreciate it :) also +30 points if u can help meeeee thanks!

Answers

Answer:

a) X=0

b) X=2,-2

Step-by-step explanation:

Complete the sentence with the word "element" or "compound."

O is a(n)
and H2O2 is a(n)
.

Answers

Answer:

O is an element (Oxygen) and H2O2 is a compound (Hydrogen Peroxide)

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