Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?

Essay Definition of Citizenship:

In the literal sense a person who lives in a city is said to be a citizen. But in political science we use this terminal different sense. To find the real meaning of the term we are to go back to ancient Greece. Aristotle, the father of political science, called a person a citizen who would take a direct and active part in the administration of the state.

Since the states in ancient Greece were as small as the cities of Greece it was possible for the residents of the city-state to make law, to adjudicate and even enforce the law. These citizens did not include the slaves, women and manual workers. In such a case the number of the citizens was just half of the entire population. The position was not very different in the medieval Europe. There were serfs in the place of the slaves.

The position is quite different in modern nation-states, where all adult people are citizens who need not take an active part in the administration of the country, because it is not possible for the entire population of a vast country to meet together and make law and interpret it or enforce it.

Answer:

143m

Step-by-step explanation:

Answer:

3 might be wrong

Step-by-step explanation:

2

(✓7) - 4x4=9

✓9

3

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

[tex](x - a)(x - b)[/tex]

Step-By-Step Explanations:

1) Factor out the common term in the first two terms, then in the last two terms.

[tex]x(x - a) - b(x - a)[/tex]

2) Factor out the common term x - a.

[tex](x - a)(x - b)[/tex]

Therefor, the answer is ( x - a ) ( x - b ).

Answer:

70%

Step-by-step explanation:

560,000/800,000= 0.70

Answer:

1, 2

Step-by-step explanation:

the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

Answer:

[tex]Area= 36g^6h^{10}[/tex]

Step-by-step explanation:

Given

[tex]Length = 6g^3h^5[/tex]

Required

Determine the area as a monomial

This is calculated as:

[tex]Area = Length * Length[/tex]

[tex]Area= 6g^3h^5*6g^3h^5[/tex]

This can be rewritten as:

[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]

Apply law of indices

[tex]Area= 36*g^6*h^{10}[/tex]

[tex]Area= 36g^6h^{10}[/tex]

Answer:

See if this is helpful

Answer:

x³ - 1

Step-by-step explanation:

Given

(x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

x³ + x² + x - x² - x - 1 ← collect like terms

= x³ - 1

Answer:

1/10th

Step-by-step explanation:

You multiply,

1/2 x 1/5 = 1/10

You can also picture it. Cut half a sheet of paper into 5 pieces. that means the other half would have 5 pieces too you cut it. That means there would be 10 pieces in total. He uses one of those pieces.

Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Answer:22:2x10x10x10x10x10x10x10x10x10x10... 23:3.4x10 divided by 2.... 24:1.5x10 divided by 9...... 25:5.9x10x10x10x10x10x10x10x10x10x10.... 26: 4.8 x 10 divided by 3..... 27: 6.25x10x10x10x10x10.

Step-by-step explanation:I divide because on some of them it's a negative power so instead of multiplying I'll divide. Hope this helps

Answer:

We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.

Step-by-step explanation:

can you please help me with my question

Answer:

24

Step-by-step explanation:

Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]

Which is 49 + b = 625

Subtract the difference 625 - 49. then you get the following

b = 576

Finally find the square root of this number and that's your answer: 24

Answer:

by using Pythagoras law

third side =√(25²-7²)=24

Answer: 108$

Step-by-step explanation:

Answer:

About 250 attendance

Step-by-step explanation:

Answer:

The attendance of 250

Step-by-step explanation:

You would see where the 125 containers is on the left is and then you would just go right from there until you hit a meeting point on the straight line which would be at 250

Answer:

Option A and D

Hope this helps!

Answer:

D

Step-by-step explanation:

16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

Answer:

55/4=13.75

Step-by-step explanation:

3+1/3=10/3

4+1/8=33/8

(10/3)(33/8)

(33x10)/(3x24)

330/24

55/4

Hope that helps :)

Answer:

A= 24!

Step-by-step explanation:

just subtract 19 from 43, and that will give you what A equals!

Answer:

24

Step-by-step explanation:

43-19= 24

24+19= 43

Answer:

21

Step-by-step explanation:

Answer:

228

Step-by-step explanation:

ANOTHER QUESTOIn?

Answer:

d

Step-by-step explanation:

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Answer:

C and D

Step-by-step explanation:

Kil represents one thousand, and milli represents one thousandth.