Factor over the complex numbers, if possible: x² + 2xyi - y2

What is the answer?

Answers

Answer 1

9514 1404 393

Answer:

  (x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

  (a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

  x² +2xyi +(yi)² = (x +yi)²


Related Questions

I need help pls and thank you

Answers

Answer:

unbounded region

A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.

Step-by-step explanation:

Give the answer in its simplest form

Answers

Answer:

1/52

Step-by-step explanation:

as there is only one of the three of clubs,

total possible outcomes= 52

favourable outcome= 1

P(getting a three of clubs) = total outcome/ favourable outcome

= 1/52

hope this helps

Write an equation. Let x be the unknown number.

10 is the sum of three and twice a number

Answers

Answer:

10 = 3 + 2x

Step-by-step explanation:

twice the number is 2x

the sum of 2x and 3 is written as 2x + 3

2x + 3 =10

10 is the SUM of 3 and TWICE a number
So 3 and twice a number..would add up to 10. Twice a number is like times a number by 2.
So let’s write the equation:
10=3+2x or 3+2x=10

The temperature in Alaska was -12 degrees Fahrenheit.It then dropped 5 degrees overnight.what is the new temperature.

Answers

Answer:

-17 degrees Fahrenheit.

Step-by-step explanation:

-12 minus 5 is -17

-17 degrees farhenheit

look at pic 10 pts will mark brainilest

Answers

Answer:

111

Step-by-step explanation:

y-18=14

y=14+18

y=32

substitute the vale of y

3(y+5)

3(32+5)

3*37

111


Two and three fifths plus one and three fifths

Answers

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

What percent of 50 is 44

Answers

Answer:

here u go

Step-by-step explanation:

88%

Answer:

88% of 50 is 44

Step-by-step explanation:

50x=44

x=44/50

x=0.88

Therefore, 88% of 50 is 44

How much is 142,560 inches in miles

Answers

Answer:

11880 ft

Step-by-step explanation:

12 in = 1 ft

142560/12 = 11880

2.25 miles is the answer

1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.

Answers

Given:

In circle D, [tex]\angle EDH\cong \angle EDG[/tex].

To find:

The length of JG.

Solution:

We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.

We have,

[tex]\angle EDH\cong \angle EDG[/tex]

It means chords EH and EG are congruent and their measures are equal.

[tex]EH=EG[/tex]

[tex]9=EG[/tex]

Using segment addition property, we get

[tex]EJ+JG=EG[/tex]

[tex]4+JG=9[/tex]

[tex]JG=9-4[/tex]

[tex]JG=5[/tex]

Therefore, the length of JG is 5 units.

Answer:

5

Step-by-step explanation:

5. In A ABC, mZ A = 100%, m B = 30°, and m2 C = 50°. Which lists the sides from largest to
smallest?

Answers

Answer:

BC>AB>AC

Step-by-step explanation:

The side length that sees the largest angle measure has the longest length

BC>AB>AC

A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.

Machine
Shift A B C
1 Observed 46 11 13
Expected 40.27933 14.07821 15.64246
2 Observed 37 10 11
Expected 33.3743 11.6648 12.96089
3 Observed 20 15 16
Expected 29.34637 10.25698 11.39665

a. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
b. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
c. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
d. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577

Answers

The answer is going to be option b. The p-value = 0.0423

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

60 feet

Step-by-step explanation:

o
63°
Please helppppp

Answers

Answer:

27

Step-by-step explanation:

180 - 90 - 63 = 27

all angles in a triangle add up to 180 degrees

yeah, the answer is 23


hope this helps!


step by step explanation:

what number is exactly halfway between 2.5 and 3.5​

Answers

Answer:

3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

The first number is 2.5

The second number is 3.5

We need to find the number that is exactly halfway between 2.5 and 3.5​. It can be calculated as follows :

[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]

Hence, 3 is exactly halfway between 2.5 and 3.5​.

Factor the expression. x2 + 7x+ 10​

Answers

Answer:

Make me a Brainlist pls

Step-by-step explanation:

x²+7x+10=0

ur answer is there in image

i need help on this one please help! (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

tan C is 90

tan B is 60

tan A is 60

C 90
B 60
A 60
Hope this helps :D

how many and what type of solution does 6x^2 -3x+ 5

Answers

Step-by-step explanation:

6x² -3x+ 5 =0

Discriminant = b²-4ac

D = 9 - 4(6)(5)

= 9 - 120

= -111

there is not real root solution

Somebody Please Help!!!

Answers

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

A ladder is 74 inches tall. How tall is it in feet and inches?

Answers

Answer:1 inch = 0.0833333 feet so 74 x 0.0833333 = 6.16667

Step-by-step explanation:

It’s 6 ft and 2inches tall I hope this helps good luck!

Find the nth term of the geometric sequence whose initial term is a1
= 0.5 and common ratio is 10
(Your answer must be a function of n.)

Answers

Answer:

Step-by-step explanation:

geometric progresion formula:

[tex]a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}[/tex]

UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?

Answers

Answer:

604,800

Step-by-step explanation:

10*9*8*7*6*5*4

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation
h =
- 6t2 + 6t where h is the frog's height in meters at any given time, t. Find the maximum height the frog reached

Answers

I’m not sure but goodluck!!!

please help! (listing BRAINLIST and giving points) ​ :) ​

Answers

Answer:

[tex]x=7.8[/tex]

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.

The angle marked 33 degrees has its opposite side labelled with [tex]x[/tex] and the hypotenuse of the triangle labelled with 12.

Thus, we can set up the following equation to solve for [tex]x[/tex]:

[tex]\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}[/tex]

Answer:

Step-by-step explanation:

tan(33°) = x/12

x = 12tan(33°) ≈ 7.79

What is the value of x?

Answers

Answer:12

Step-by-step explanation:

Si compraste 0.5 mts. de alambre grueso con un costo de $ 4.00 pesos por metro y 0.4 mts. de alambre delgado con un costo de $5.00 pesos por metro,
¿Cuánto fue el costo total en la compra de los metros de alambre?

Answers

Answer:

El costo total en la compra es $4.00 pesos.

Step-by-step explanation:

El costo total en la compra de los metros de alambre viene dado por la suma de los costos de los metros individuales de los alambres gruesos y delgados:

[tex] C_{t} = C_{g} + C_{d} [/tex]

En donde:

[tex] C_{t} [/tex]: es el costo total

[tex] C_{g} [/tex]: es el costo del alambre grueso

[tex] C_{d} [/tex]: es el costo del alambre delgado

Podemos encontrar el costo de cada alambre multiplicando el valor por la cantidad de metros:

[tex]C_{g} = 0.5 m*\frac{\$ 4.00}{m} = \$2.00[/tex]

[tex]C_{d} = 0.4 m*\frac{\$ 5.00}{m} = \$2.00[/tex]

Entonces, el costo total es:

[tex]C_{t} = 2.00 + 2.00 = \$4.00[/tex]

Por lo tanto, el costo total en la compra es $4.00 pesos.

                 

Espero que te sea de utilidad!                  

In how many ways can the letters in the word 'Oklahoma' be arranged?

Answers

Answer:

720

Hope that this helps!

The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities

Answers

Answer:

Step-by-step explanation:

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?  

✔ y = 160/x

What does the number 160 represent in the rational function that models the situation?

✔distance, in miles, between the cities

amount of fuel, in gallons, used by the train

time, in minutes, needed to travel between the cities  

Answer: NOTE Pictures Are not in order! Make sure you check page number.

Step-by-step explanation:

On page 6 the answers are ”C” and ”5lbs”

On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.

On page 8 the answers are : < Just copy paste this below.>

                                                               

“Based on the calculation, they should purchase the second television as the cost is cheaper.

Based on the information given in the question, the cost of the first television will be:

= $330 + ($14 × 8)

= $330 + $102

= $442

The cost of the second television will be:

= $369 + ($9 × 8)

= $369 + $72

= $441

Therefore, the second television is cheaper.”

                   ^    

<Just copy paste this. >           [Then check. “A,B,C,”.]

On page 9 the answer is “ D “.

Which ordered pairs are solutions to the equation x+6y=4?

Answers

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments. A random survey of 850 customers found only 34 with complaints. Does this provide evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints

Answers

Answer:

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

Step-by-step explanation:

A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.

At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:

[tex]H_0: p \geq 0.05[/tex]

At the alternative hypothesis, we test if this proportion is less than 0.05, that is:

[tex]H_1: p < 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]

A random survey of 850 customers found only 34 with complaints.

This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]

[tex]z = -1.34[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.

Olivia randomly samples 50 students attending a basketball game and asks what grade they are in. Of the studets surveyed, 19 were in the seventh grade. I
there are 200 students attending the basketball game, based on the sample, how many of them are in seventh grade?

Answers

Answer:

76

Step-by-step explanation:

19 out of 50 are in 7th grade.

200/50 = 4

Multiply both numbers in the ratio by 4.

19 out of 50 = 76 out of 200

Answer: 76

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