Part A) based on your answer to answer to part a, are there any values that can be eliminated from the solution set

The equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12

Given that,

Three of a parallelogram's vertices have the coordinates (-3, 4), (-2, 1), and (2, 6).

We have to find what is the equation for the side of the line that contains the first two vertices' opposite side.

We know that,

The equation of the line is

y=mx+b

Here, we find m and d

Take the points (-3,4) (-2,1)

m = y₂-y₁ / x₂-x₁

m = 1 - 4 / -2-(-3)

m = -3 / 1

m = -3

Now take point (2,6)

6 = -3(2) + b

6 = -6 + b

6 + 6 = b

12 = b

We get m =-3 and b=12

The equation will be y=-3x+12

3x+y=12

Therefore, the equation for the side of the line that contains the first two vertices' opposite side is 3x+y=12

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Answer:

Step-by-step explanation:6

After 156.25 miles will the cost be the same to rent a car. This can be solved by the concept of cross-multiplication.

Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.

In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.

Let, assume miles be m.

and, Let the total cost be x.

According to the question,

0.25m + 50 = x ........(i)

0.41m + 25 = x ........ (ii)

By solving equation (ii) by (i) we get -

0.16 m - 25 = 0

or, 0.16m = 25

or, m = 25 /0.16

or, m = 156.25

Thus, number of miles = 156.25 miles.

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Answer:

36 sq ft

Step-by-step explanation:

The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.

Answer:

36

Step-by-step explanation:

you multiply just two of the sides hxw and you get your answer

Your answer should be B. Each time, t, is associated with precisely one car value, y.

Like terms for the given data are: 17x² and 3x²; -3xy and -2xy. Combining the like terms we get: 20x² and -5xy

In algebra, the term "equal terms" refers to words with the same variable to the same power.

Similar variables and powers are called similar words in algebra. Matching coefficients is not required. When two or more words do not share the same variable or power, they are called inequal terms. The order of both variables is irrelevant unless there is a power. All of these have the same terminology.

17x² and 3x²

-3xy and -2xy

Combine the same terms obtained.

17x² + 3x² = 20x²

-3xy + (-2xy)

= -3xy -2xy

= -5xy

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Answer:

The cost for 1 pizza is $8.99

Step-by-step explanation:

We know

Natalia paid a total of 38.95 for 3 pizzas and a salad

A salad = $11.98

We first find the total cost of 3 pizzas by

38.95 - 11.98 = $26.97

$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take

26.97 divided by 3 = $8.99

So, the cost for 1 pizza is $8.99

Answer:

The cost of 1 pizza is $8.99.

Step-by-step explanation:

Let

[tex]t[/tex] = total price

[tex]p[/tex] = pizzas

[tex]s[/tex] = salads

Natalia bought 3 pizzas and 1 salad

[tex]38.95=3p+1s[/tex]

We are given the price of the salad.

[tex]38.95=3p+11.98[/tex]

Now we can find the cost of 1 pizza.

Lets solve for [tex]p[/tex].

Subtract 11.98 from both sides of the equation.

[tex]26.97=3p[/tex]

Divide both sides of the equation by 3.

[tex]p=\frac{26.97}{3}\\p=8.99[/tex]

A triangle is a polygon with 3 sides, and the sum of its interior angles is 180 degrees.

The properties of a triangle are:

There are several types of triangles, including:

Equilateral triangle: This is a triangle with three sides of equal length and three angles of 60 degrees.

Isosceles triangle: This is a triangle with two sides of equal length and two angles of equal measure.

Scalene triangle: This is a triangle with three sides of different lengths and three angles of different measure.

Right triangle: This is a triangle with one 90-degree angle.

Acute triangle: This is a triangle with three angles that are all less than 90 degrees.

Obtuse triangle: This is a triangle with one angle that is greater than 90 degrees.

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The movie need to earn $ 1,512,500 in the next 7 weeks.

The unitary technique involves first determining the value of a single unit,

followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A company spent 762500 to make a movie.

The total movie will be earned

= 762500 + 2000000

= 2,762,500

First week the movie earned 1, 250,000.

So, in 7 weeks the movie needs to earned

= 2,762,500 - 1, 250,000

= 1,512,500

Hence, the movie earn 1,512,500 more.

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Based on the information given, the number of students from Florida will be; 9000 students.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1

The Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

Hence, the number of students from Florida is 9000.

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To find the terminal point of a line segment, identify the starting point, measure the length and direction, and use these parameters to calculate the coordinates of the terminal point.

To find the terminal point of a line segment, first identify the starting point of the line. Then, measure the length of the line segment and the direction in which it is going. Finally, use a combination of the starting point coordinates, the length, and the direction to calculate the coordinates for the terminal point of the line.

1. Identify the starting point of the line.

2. Measure the length of the line segment and the direction in which it is going.

3. Use the starting point coordinates, the length, and the direction to calculate the coordinates of the terminal point.

4. The coordinates of the terminal point are the location of the line segment’s endpoint.

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The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance.  If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.

What is an equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"

Let's call the number of bhajis in the second bag "x".

We know that he total number of bhajis after emptying both bags onto the plate is 50.

So we can write an equation:

42 + x = 50

To solve for x, we can subtract 42 from both sides:

x = 50 - 42

x = 8

Therefore, there were 8 bhajis in the second bag.

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Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

Combinations are operations in mathematics that count the number of possible combinations that can be created from a set of items, where the selection's direction is immaterial. You are free to select any arrangement of the parts. Permutations and combinations can be mixed up.

Here,

There still are 14 teams in all, but each team plays the other twice.

Every team plays almost every team twice, hence the total amount of games played is simply the permutations of 2 out of 14, which is determined by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Consequently, there were 182 games played in all.

Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

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In "Gilgamesh: A New English Version," several pieces of evidence support the conclusion that Gilgamesh is an epic hero.

Gilgamesh is the king of Uruk: He is the main character of the story, and his actions and deeds are the focus of the epic. As a king, he holds a position of power and authority and is responsible for the well-being of his people.

Gilgamesh undertakes a quest: He embarks on a journey to find immortality after the death of his dear friend Enkidu. His quest takes him to the ends of the earth and shows his determination and courage.

Gilgamesh faces challenges and monsters: During his journey, Gilgamesh faces several challenges and monsters, such as the giant Humbaba and the Bull of Heaven. His bravery in overcoming these obstacles demonstrates his heroic qualities.

Gilgamesh has supernatural strength and abilities: He is two-thirds god and one-third man, which means he is gifted with supernatural strength, speed and endurance. He is able to perform deeds that would be impossible for a mortal.

Gilgamesh demonstrates wisdom and self-awareness: Throughout his journey, Gilgamesh comes to understand the limitations of human life and the importance of living a meaningful existence. He demonstrates wisdom and self-awareness which are the hallmark of a true epic hero.

These examples of Gilgamesh's character and actions support the conclusion that he is an epic hero and his story is an epic.

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Answer:

d. 3^108

Step-by-step explanation:

Just multiply 6 and 18.

Answer:

To find what her rate for how many chapters she reads per hour, you want to find out what times 7 gives you 56, or you can simply divide:

56/7 = 8

Donna reads 8 pages per hour.

Step-by-step explanation:

Hope it helps! =D

The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).

So we can substitute these values into the formula:

-1 = (-2 - (-4)) / (5 - k)

-1 = 2 / (5 - k)

-1 × (5 - k) = 2

-5 + k = 2

k = 2 + 5

k = 7

Therefore, the value of k is 7.

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Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."

The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.

This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.

Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.

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Answer:

d

Step-by-step explanation:

To prove a number is irrational we divide the integer by another integer is the decimal is non terminating and non repeating then it will be a irrational number .

What are Irrational Numbers ?

The Irrational numbers can be defined  a number that cannot be expressed as a fraction [tex]\frac{p}{q}[/tex] for any integers p and q.

The Irrational numbers have decimal expansions that do not terminate nor repeat (periodic) . Every transcendental number is an irrational number .

(i) To prove a number irrational  when we divide an integer by another integer, and  if decimal expansion does not terminate and do not  repeat then it is an irrational .

(ii) if the number cannot be expressed in the form of [tex]\frac{p}{q}[/tex] , then also the number will be called as irrational numbers .

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To represent "infinity" or the notion that an interval lacks an ending, we use the symbol.

The endpoints of infinity and negative infinity can be seen in two different ways. One the one hand, we can never get to infinity because it is a concept and not a real quantity.

In this sense, the interval is said to be open because it excludes the endpoints infinity and negative infinity. The infinity symbol is placed on the right side since there is no higher endpoint (all values must be larger than or equal to -3). An interval is closed if its boxed end is on -3. Because there is no endpoint on that side, infinity always has a curved end.

To represent "infinity" or the notion that an interval lacks an ending, we use the symbol. The symbol shouldn't be used with a square bracket because it's not a number. Visit this tutorial on set-builder and interval notation for a more thorough discussion of set notation and interval notation.

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The percent error in the amount of water Rich added is 15.93%.

When compared to the actual value, the percent error is the difference between the estimated and actual values.

The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.

Given that Rich added water to a solution in science class is 26.2 milliliters

Whereas the directions said to add water is 22.6 milliliters

The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters

The percent error is = (3.6/22.6)*100%

The percent error is = 15.9292*100%

Therefore, the correct answer is option b) 15.93%.

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Answer:

c is the independent variable and f is the dependent variable

Step-by-step explanation:

The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:

Step 1. Understand the problem.

x = a number

Step 2. Devise a plan (translate).

Twice the difference between a number and 1 is equal to 4 more than that number

Step 3. Carry out the plan (solve).

2(x - 1) = (x + 4)

2x - 2 = x + 4

2x - 2 - x = x + 4 - x

x - 2 + 2 = 4 + 2

x = 6

Step 4. Look back (check and interpret).

If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.

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Answer:

The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:

Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)

Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)

Hope this helps!

Step-by-step explanation:

When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be 48 times.

The times he should expect the coin to land on tail based on the table will be 27 times.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be:

= 1/2 × 96

= 48

The number of times he should expect the coin to land on tail based on the table will be:

= 18/50 × 75

= 27 times

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quadrilateral with both pairs of opposite sides congruent

What is a parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

If both pairs of opposite sides of a quadrilateral are congruent , then the quadrilateral is a parallelogram.

So, the option  I only is correct

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You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.

According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.

Explain:

[tex]\frac{4}{5}[/tex] ×(20×17/8)

20×17/8

340÷8

[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]

= [tex]\frac{64}{2}[/tex]

= 32

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