If 4i(-3-yi)+7=27-12i,what is the value of y

Answers

Answer 1
Answer: 4i(-3-yi)+7=27-12i\n -12i+4y+7=27-12i\n 4y=20\n y=5

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What is the factored form of 2x2 + 20x + 50?

Answers

2x^2+20x+50 
Find the GCF of the 3 given numbers (2,20,and 50) in this case it 2
divide the whole equation by 2 
You are left with: 
2(x^2+10x+25)
From here simply factor it. 
ask yourself, what 2 numbers would multiply to make 25 but add to make 10
5 x 5=25
5+5=10 
so 5 and 5...
(x+5)(x+5) 
Now you need to break the expression: x^2+10x+25 into groups 
like this: 
(x^2+5x)+(5x+25)
Find the GCF of each number set (5 and 1, 5 and 25 )
divide by the numbers  you get. In this case for 5 and 1 it is just x divide both numbers by x to get :
x(x+5) 
For 5 and 25 it is 5 so you get: 
5(x+5)
Combine the 2 expressions we got. 
x(x+5)+5(x+5)
Factor out the equation and you get your final answer
2(x+5)(x+5) or it can also be written as 2(x+5)^2 

2x^2+ 20x+ 50
= 2*(x^2+ 10x+25)
= 2(x+5)^2.

The final answer is 2(x+5)^2.

Hope this would help~ 

PLEASE HELP ASAP , what is the approximate area of the figure ( there is a picture)

Answers

Answer:

\pi*2.5^(2)+15*5=94.63495

Correct answer 94.6

Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and red marbles of the same size. She will randomly put out a marble, keep it outside the bowl, then pull out another marble.What is the probability she will draw a red marble and then a yellow marble?

1/14
5/72
1/18
3/20

Answers

The answer is 1/14.

There are in total 36 marbles:
10 blue + 15 yellow + 5 green + 6 red.

The probability to put out a red marble in the first draw is 6 out of 36 marbles because there are 6 red marbles of total 36:
P(r) = 6/36 = 1/6.

After that 1 red marble is outside the bowl, there are now 35 marbles in total.
The probability to put out a yellow marble in the second draw is 15 out of 35 because there are 15 yellow marbles of total 35 marbles:
P(y) = 15/35 = 3/7.

If we want both these events to occur (1. to draw the red marble and 2. to draw the yellow marble), we will use a multiplication rule. The multiplication rule calculates the probability that both of two events will occur:
P(r) 
× P(y) = 1/6 × 3/7 = 3/42 = 1/14.

Therefore, the probability Kendra will draw a red marble and then a yellow marble is 1/14.

WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTOGO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is

Answers

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is

✔ horizontal

The line perpendicular to the line y = –8 is

✔ vertical

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is

✔ x = –4

Step-by-step explanation:

i got it right

Answer:

-x-6=y

Step-by-step explanation:

Perpendicular slope is -1

-1(-4)+b=-2

B=-6

Describe the structure of roman law during the republic and explain its impact on the world?

Answers

Answer:

The structure of Roman law during the Republic was characterized by the Twelve Tables, legal procedures emphasizing due process, the development of jurisprudence, and its influence on legal systems globally. Roman law's principles of transparency, fairness, and universal application have had a lasting impact on the world, shaping legal systems and promoting justice and equal rights

Step-by-step explanation:

1. Twelve Tables: The Twelve Tables were a set of laws codified in the 5th century BCE. They established the foundation of Roman law and were publicly displayed to ensure transparency and equal treatment under the law. The Twelve Tables covered various aspects of civil law, such as property rights, contracts, and family law.

2. Legal Procedures: Roman law emphasized legal procedures and due process. It provided individuals with the right to a fair trial and allowed them to present evidence and arguments in their defense. This emphasis on legal procedures contributed to the development of the concept of "innocent until proven guilty" and influenced legal systems around the world.

3. Jurisprudence: Roman law developed a system of legal interpretation and principles known as jurisprudence. Jurisprudence involved the study and application of legal principles derived from previous court decisions and legal writings. This system of jurisprudence laid the foundation for legal reasoning and the development of legal principles that have influenced modern legal systems.

4. Influence on Western Legal Systems: Roman law had a profound impact on the development of legal systems in Europe and beyond. Many principles and concepts of Roman law, such as the distinction between public and private law, the idea of legal rights, and the concept of legal personhood, were incorporated into later legal systems. Roman law formed the basis for civil law systems in many countries, including those in continental Europe and Latin America.

5. Universal Application: One of the most significant contributions of Roman law was its universal application. Roman law aimed to provide legal rights and protections to all individuals, regardless of their social status or origin. This concept of universal application and equal treatment under the law had a lasting impact on legal systems worldwide, promoting the idea of legal equality and justice for all.

In summary, the structure of Roman law during the Republic was characterized by the codification of laws, an emphasis on legal procedures and due process, the development of jurisprudence, and its influence on legal systems globally. Roman law's principles of transparency, fairness, and universal application have had a lasting impact on the world, shaping legal systems and promoting the concepts of justice and equal rights.

If g(x) = 3(x − 2), find the value of x if g(x) = 6.A- 12
B- 2.6
C- 8
D -4

Answers

6=3(x-2)
2=x-2
2+2=x
4=x

Answer is d- 4