Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).

Answers

Answer 1

Answer:

y = [tex]\frac{2}{3}[/tex] x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (3, 4 )

m = [tex]\frac{4-2}{3-0}[/tex] = [tex]\frac{2}{3}[/tex]

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{2}{3}[/tex] x + 2 ← equation of line


Related Questions

What is the coefficient of XY in the expression *?

Answers

The numerical coefficient of xy in the given expression -7xy is -7.

The numerical coefficient of an expression is a number that is multiplied by a variable or a product of variables. The coefficient is the number that appears in front of a variable or a product of variables. In the case of a constant term, the coefficient is the constant itself.

For example, in the expression 3[tex]x^2[/tex] + 4x - 5, the numerical coefficient of [tex]x^2[/tex] is 3, the numerical coefficient of x is 4, and the numerical coefficient of the constant term -5 is -5.

Here, in the expression -7xy, the numerical coefficient of xy is -7.

Read more about the algebraic expression:

brainly.com/question/21856579

#SPJ4

The complete question is -

What is the coefficient of XY in the expression - 7xyz?

Reduce 22/154
to its lowest form.

Answers

Answer: 1/7

Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.

if the chosen significance level is α = 0.05, then ____________________________________________. A) there is a 5% probability of rejecting a true null hypothesis
B) there is a 5% probability of accepting a true null hypothesis
C) there is a 5% probability of rejecting a false null hypothesis
D) there is a 5% probability of accepting a false null hypothesis

Answers

C) there is a 5% probability of rejecting a false null hypothesis

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

To learn more about probability distribution visit: brainly.com/question/30034780

#SPJ4

A high school student working part time as a shelf stocker had a gross income of $6675 last year. If his federal tax rate was %10 and his state tax was 3% what was the amount withheld from his Pat last year in federal tax, state tax, and FICA combined?


A. 867. 75

B. 667. 50

C. 200. 25

D. 1378. 39

Answers

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

What is percentage?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%" (percent sign). Percentages are used to express how much of something there is in relation to the whole. For example, if a student answers 80% of the questions correctly on a test, it means they answered 80 out of 100 questions correctly.

What is tax?

A tax is a financial charge imposed by a government on individuals, businesses, or other entities to raise revenue for government spending. Taxes are typically based on a percentage of income or sales, and can be levied on various forms of income, including wages, salaries, and profits. The purpose of taxation is to fund government programs and services, such as roads, schools, and national defense. Taxes can also be used to redistribute wealth and influence economic behavior.

The amount withheld from the student's pay last year in federal tax is $6675 x 0.1 = $667.50

The amount withheld from the student's pay last year in state tax is $6675 x 0.03 = $201.25

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

So the answer is A. 867.75

To know more about percentage visit:

https://brainly.com/question/29306119

#SPJ4

Can anyone me help PLEASE

Answers

Answer: (0, 1), (2,3), (x,x), (-5,x) (I put x's in for the missing numbers)

Step-by-step explanation: Hope this helps!!

Here is the graph:

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted

Answers

If six different colors of paint are available, 360 ways can the knobs be painted.

how many ways can the knobs be painted?

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

To learn more about factorials refer to:

https://brainly.com/question/9214272

#SPJ4

Angle of depression: A person standing on the top of the Petronas Tower I looks out
across the city and pinpoints her residence. If the angle of depression from the person's
eyes to her home is 5°, how far away (in feet and in miles) is the residence?

Answers

T he residence is 5• away

Which fraction is equivalent to fraction with numerator 6 and denominator negative 8 ? (5 points)

fraction with numerator negative 8 and denominator 6
fraction with numerator negative 6 and denominator 8
fraction with numerator negative 6 and denominator negative 8
fraction with numerator 8 and denominator 6

Answers

Answer:

A fraction is a mathematical expression that represents the division of two numbers, called the numerator and the denominator. The numerator represents the number of parts being considered, while the denominator represents the number of parts in the whole. A fraction with a numerator of 6 and a denominator of negative 8 can be simplified to -3/4. To find an equivalent fraction, we can multiply or divide both the numerator and denominator by the same number without changing the value of the fraction. In this case, the fraction with a numerator of negative 8 and a denominator of 6 is equivalent to -4/3.

Step-by-step explanation:

A rectangle has length x and width x - 3. The area of

the rectangle is 10 square meters.

Complete the work to find the dimensions of the

rectangle

Х

x(x - 3) = 10

x? - 3x = 10

x2 - 3x - 10 = 10 - 10

10 m2

X-3

(x + 2)(x - 5) = 0

What are the width and length of the rectangle?

O The width is 1 meter and the length is 10 meters.

O The width is 10 meters and the length is 1 meter.

The width is 2 meters and the length is 5 meters.

The width is 5 meters and the length is 2 meters.

Answers

The equation for dimensions of the rectangle is x(x - 3) = 10 and the width is 2 meters and the length is 5 meters.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

x(x-3)=10

x²-3x=10

x²-3x-10=0

x²-5x+2x-10=0

(x-5)(x+2)=0

x=-2,5

x=5 units

x-3=5-2

=2 units

The rectangle's dimensions are x(x - 3) = 10, with a width of 2 meters and a length of 5 meters.

To know more about equation,

https://brainly.com/question/649785

#SPJ4

Work out the size of angle x

Answers

Answer:

x = 13

Step-by-step explanation:

There is more than one 98-degree angle since they are all corresponding interior angles.

The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees

In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.

Hence, the angles inside the triangle are: x, 85, and 82

x + 85 + 82 = 180 ==> Triangles add up to 180 degrees

x + 167 = 180  ==> simplify

x = 13 degrees ==> subtract 167 on both sides

To learn more about corresponding angles, click here:

https://brainly.com/question/28769265

Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply

Answers

Translation is a rigid transformation. As such, it preserves sizes and angles. Isometric is an alternative way to say the size is preserved. Hence; B, C and E are the correct choices.

What is a triangle?

A triangle is a three-sided polygon. A closed shape consisting of three straight lines and three corners. The sum of the three angles of a triangle is always 180 degrees. Triangles come in a variety of shapes and sizes and can be classified according to their angles and sides. The most common type of triangle is the right triangle, which has 90 degree angles.

Translation is the transformation that happens when we move the image without changing anything in it. Therefore, the shape, size, and orientation remain the same.

In this case the triangle ABC has been transformed to A'B'C'. This means that the triangle has been moved in one direction to form a new triangle A'B'C' without changing its size or orientation. This is an example of translation transformation.

To know more about transformation, click-

https://brainly.com/question/16330977

#SPJ4

The complete question is follows:

Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply

A. It is non rigid

B. The size is preserved

C. It is rigid

D. The angles are not preserved

E. It is isometric

How do I find parameter?

Answers

Answer:

Depending of the figure that you are trying to find perimeter on, you just add up all the sides of that figure.

Answer:

The perimeter is the distance around a figure.

Step-by-step explanation:

For example, if I have a square where each side is 5 inches.  The perimeter would be 20 inches.  5 + 5+ 5 + 5, a square has four sides and each side length is 5 inches.

Fractions

Malik and his friends ate 1.

1
--
4

pepperoni pizzas, 2 cheese pizzas, and

2
--
3

of a vegetarian pizza.

a) How many pizzas did they eat?

b) How many more cheese pizzas than

vegetarian pizzas did they eat?

Answers

a) The total amount of pizzas that they ate is given as follows: 2.92 pizzas.

b) The difference between the number of cheese pizzas and the number of vegetarian pizzas is given as follows: 4/3, which is the amount that they ate more of cheese pizzas than vegetarian pizzas.

How to obtain the amounts?

The fractions relative to the amount of each type of pizza eaten are given as follows:

Pepperoni pizza: 1/4.Cheese pizza: 2.Vegetarian pizza: 2/3.

The total amount of pizzas eaten is given by the addition of these fractions, hence:

1/4 + 2 + 2/3 = 3/12 + 24/12 + 8/12

(as the least common factor between 4, 1 and 3 is of 12).

3/12 + 24/12 + 8/12 = (3 + 24 + 8)/12

(3 + 24 + 8)/12 = 35/12

2.92 pizzas.

The difference between the number of cheese pizzas and the number of vegetarian pizzas is obtained as follows:

2 - 2/3 = 6/3 - 2/3 = 4/3.

(as the least common factor of 1 and 3 is of 3).

More can be learned about addition of fractions at https://brainly.com/question/78672

#SPJ1

A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?

Answers

The expression that correctly shows the amount remaining in the piggy bank will be; 22d + 7n + 15q - (8d + 3n) = $4.85

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels.

LEt consider

dimes = d

→ nickels = n

quarters = q

Now the expression will be;

22 dimes + 7 nickels + 15 quarters - 8 dimes - 3 nickels

22d + 7n + 15q - 8d - 3n = $4.85

22d + 7n + 15q - (8d + 3n) = $4.85

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

Please help ASAP!


Solve the inequities:


k^2-7k+12. 25>0


2. 25y^2-3y+1<0

Answers

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

Solve the inequities:

k^2-7k+12. 25>0

2. 25y^2-3y+1<0

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

So Whenever you find two conclusions which are false Just check for these two symbols . In Most of the case where two conclusions are false and these two signs are not there respectively than that statement, you can call it as Neither Nor.

To know more about inequalities visit brainly.com/question/28823603

#SPJ4

In right triangle abc, altitude cd with length h is drawn to its hypotenuse. we also know ad = 12 and db = 3.

Answers

The value of h is 6.

Now, According to the question:

In right triangle, ABC

Given data:

AD = 12 and DB = 3

The equivalent ratio of the triangles is:

h : 12 = 3 : h

Express as fractions

[tex]\frac{h}{12} =\frac{3}{h}[/tex]

Cross Multiply:

[tex]h^2[/tex] = 36

Take positive square roots of both sides

h = 6

Hence, the value of h is 6.

Learn more about Right triangle at:

https://brainly.com/question/29285631

#SPJ4

Look at the figure at the right. Explain one
thing that representing the area of the figure as 9(x + 3) - 6x tells
you about the situation. Then write an equivalent expression for
the area. Explain what information is in your expression that is not
in 9(x + 3) - 6x.

Answers

Answer:

3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.

pls mark as brainliest

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool

Answers

The number of units that tile will he need to surround his pool is 19.82units.

this question is of quadratic equation ,

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have,

AB = 4.24 units

BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units.

The number of units that tile will he need to surround his pool is 19.82units.

Learn more about quadratic equations here :-

https://brainly.com/question/30098550

#SPJ4

What is the GCF of 20x^76 and 8x^92

Answers

The GCF of the given expressions is 4x⁷⁶

What is the greatest common factor?

The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.

Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4

and x⁷⁶ is a factor of  8x⁹²

∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶

Hence, The GCF of the given expressions is 4x⁷⁶

Learn more about the GCF here:

https://brainly.com/question/11221202

#SPJ1

Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52

Answers

Answer: 27.5

Step-by-step explanation:

[tex](x-3)2 = 49\\x-3 = \frac{49}{2} \\x-3 = 24.5\\x = 24.5 + 3\\x = 27.5[/tex]

How do you find the sides of a triangle with only the angles?

Answers

The Sides of triangle when only the angles of triangles are given can be found by using the Law Of Sines .

What is Law Of Sines ?

The Law Of Sines states that  the ratio of sides of a triangle and their respective Sine angles are equivalent to each other. The other names by which the law of sines is known  are Sine Law, Sine Rule and Sine Formula.

The Sine Law  is used to find unknown side of an oblique triangle. The oblique triangle is defined as a triangle that is not a right triangle.

Let a , b and c be the sides of a triangle ABC , and A , B and C be the angles .

So , by Sine Law : [tex]\frac{a}{SinA}=\frac{b}{SinB}=\frac{c}{SinC}[/tex] ;

Therefore , The Law Of Sines help in finding the sides of triangle that has only angles .

Learn more about Law Of Sines here

https://brainly.com/question/29077238

#SPJ4

The radii of two concentric circles are in the ratio 3:5. If the length of the chord of the larger circle that is tangent to the smaller circle is 40 cm, complete the following statements:

Answers

The length of the chord of the larger circle can be found by taking the square root  [tex](5r)^2 - (2r)^2[/tex] which is equal to r√21, where r is the radius of the smaller circle.

The given problem states that there are two concentric circles with radii in the ratio of 3:5. This means that the radius of the smaller circle is 3r and the radius of the larger circle is 5r. The distance between the center of these two circles is 2r.

Also, it is given that the length of the chord of the larger circle that is tangent to the smaller circle is 40 cm. Using this information, we can find the length of the chord of the larger circle by using the Pythagorean theorem.

The length of the chord of the larger circle is found by taking the square root of [tex](the radius of the larger circle)^2[/tex] - [tex](the distance between the two centers)^2[/tex] which is √21[tex]r^2[/tex]= r√21.

To learn more about the circles at

https://brainly.com/question/28613960?referrer=searchResults

#SPJ4

2. The value of a machine depreciates by 5% every year. It is given that the initial value of the machine is RM100 000.

(a) Express its value, in RM, after n years.

(b) Hence, find its value after 10 years to the nearest ringgit.​

Answers

Answer:

Step-by-step explanation:

Depreciation means wearing and tearing in the value of an asset over the years

(a) Given:

p = initial value of an asset

i% = depreciation per year

n = number of years

Depreciation after n years (d) = [tex]p(1-\frac{1}{100} )^{n}[/tex]

Value of machine after n years = p-d

(b) Given:

p = RM100000

i% = 5

n = 10
Depreciation after 10 years = [tex]100000(1-\frac{5}{100} )^{10} = 59873.69392[/tex]

Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608

Value of machine after 10 years to nearest ringgit = RM40123

Think about all the models and strategies you have discussed today. Describe how one of them helped you better understand how to find the slope of a line.​

Answers

Answer:

I could find the slope of a line by looking at the gradient of a graph that the line creates. If the line is linear, then the gradient will be a constant value, which I can use to find the value of the slope. If the line is not linear, then I can use a derivative to find the slope at a given point. However, if the line is concave or concave up, then I will need to take the second derivative of the equation to determine which point on the line is closest to the point that I'm trying to calculate.

Step-by-step explanation:

What is the coefficient of y² in the expression 3y² 4x *?

Answers

The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

Learn more about  expression in:

brainly.com/question/21856579

#SPJ4

Identify the inverse function of f(x)=√x - 2 + 3.
A) f-¹(x) = (x + 2)² - 3
B) f-1(x) = (x - 3)² + 2
C) f-¹(x) = √x + 2 - 3
D) ƒ-1(x) = √x + 3 − 2
Questi

Answers

The inverse of the function f(x) =√x - 2 + 3 is (x - 3)² + 2 so, option B is correct.

What is the function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Given:

f(x)=√x - 2 + 3.

The inverse function can be found as shown below,

f⁻(x) = √(y - 2) + 3  (Replace x by y)

x = √(y - 2) + 3

solve the equation as shown below,

x - 3 = √(y - 2)

Squaring both sides,

(x - 3)² = [√(y - 2)]²

x² + 9 - 6x = y - 2

x² + 9 - 6x + 2 = y

y = x² - 6x + 11 or y = (x - 3)² + 2

Thus, the inverse of the function is  (x - 3)² + 2.

To know more about function:

https://brainly.com/question/5975436

#SPJ1

Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller

Answers

An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

learn more about inequalities here:

https://brainly.com/question/28823603

#SPJ1

Dr. And Mrs. Tutt are married, lives in Burleson and file a joint return. The Tutts cannot

be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19

years old, single and a full-time student away at college. Lavender earned $4,500

during the year, but her parents provided more than half of her support. Which of the

following statements is true?

Answers

The real earning of her could be less than $2250 during the year where their parents supported more than half.

What is linear equation ?

linear equation can be defined as the equation in which the highest degree of the exponent is one.

Given

The Tutts cannot be claimed as dependents on anyone else's tax return. Their daughter, Lavender, is 19years old,

single and a full-time student away at college.

Lavender earned $4,500 during the year

The real earning of Lavender could be

as her parents supported more than half.

so,

her real earning could be less than $2250

Hence , the real earning of her could be less than $2250 .

To learn more about Linear Equation from the given link.

https://brainly.com/question/29739212

#SPJ4

A field is in the shape of a square. The length of the field is 5x³y. What is the area of the field in terms of x and y? Write the variables in
alphabetical order. I really don’t know and I’m desperate :(

Answers

Answer:

25x^6y^2

Step-by-step explanation:

Since it is a square all sides are the same. So you multiply 5x^3y and 5x^3y together to get the area. That would get you 25x^6y^2.

a survey was given to people who own a certain type of car. what percent of the people surveyed were completed satisfaction with the car?

Answers

The percent of the people surveyed who were completed satisfaction with the car will be 48%.

How to calculate the percentage?

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100. The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %.

In this case, a survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car.

The percent of the people surveyed were completed satisfaction with the car will be:

= 24 / 50 × 100

= 48%

Learn more about percentages on

brainly.com/question/24304697

#SPJ1

Complete question

A survey was given to people who own a certain type of car. 24 out of 50 stated that they were satisfied with the car. what percent of the people surveyed were completed satisfaction with the car?

Other Questions
7. In triangle ACE points B, D and F are midpoints of the sides. If AC=48and FB=23. Find EC. The diagram is not to scale. 2 points Haba una vez un prncipe bellsimo. l viva en un castillo con sus padres, la reina y el rey. l no trabajaba y dorma muchas horas durante el da y la noche. what might be concluded from the description of the prince? he was active. he was busy. he had trouble sleeping. he was lazy. 10 POINTS. Answer please. What offspring would you predict from a black female cat and an orange male cat? Sam Slezee was found to be providing mortgage loan origination services without a state license. A temporary order to cease and desist engaging in such activities was issued against Sam. While under the order, Sam completed three transactions. What is the maximum fine a state licensing agency may impose on him The Stave Church in Borgund, Norway is an example of _________________. a. Ottonian architecture b. Norse architecture What is the frequency of the function f(x)? f(x)=3cos(x)2 Express the answer in fraction form Find the value of xx in the equation below.11=11=\,\,x -6x6 what issue is rasied in a study of robseiree regin of terrior within france and king leopolds rule of congo What was an important effect of Blackstone? What is the setting of Gatsby's party? The North and the South had many differences. Match 3 ideas that represent the North and 3 ideas that represent the South. [tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]Express y in terms of x and alpha only when palpating a patient's pulse, you note that it is grossly irregular. you should: What is the purpose of setting in the story? Which of the five "1's" of Romantics is represented in Because I could not stop for Death? Explain how. Let A, B and C represent distinct non-zero digits. Suppose x is the sum ofall possible 3-digit numbers formed by A, B and C without repetition.Consider the following statements1. The 4-digit least value of x is 1332.2. The 3-digit greatest value of x is 888.Which of the above statements islare correct? Why was Silent Spring so influential at the time?The book provided inspiration to those suffering from pesticide exposure.It was the first book to bring awareness to global warming issues.It was the first book that discussed the benefits of the Endangered Species Act.It was the first time that the public was being made aware of the long-term impacts of pollution. Amber paid in taxes to the federal government on her investment. she also paid in taxes to the state government. the real value of the profit amber made is _______. Why would intellectual property theft fit the mission of private technology security and possibly be more applicable than it is to law enforcement