Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
U(-5,5), K(-5,-1), L(1,2)

Answers

Answer 1

The triangle with vertices located at U(-5 , 5), K(-5 , -1), and L(1 , 2) has its centroid located at (-3 , 2).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) = U(-5 , 5)

Point 2(x2 , y2) = K(-5 , -1)

Point 3(x3 , y3) = L(1 , 2)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(-5 + -5 + 1)/3 , (5 + -1 + 2)/3]

C(x ,y) = (-9/3 , 6/3)

C(x ,y) = (-3 , 2)

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Find The Coordinates Of The Centroid Of The Triangle With The Given Vertices. (Lesson 5-2) U(-5,5), K(-5,-1),

Related Questions

82.156-41.31-29.16 (Estimated)

Answers

Answer:Your answer would be 11.686

Step-by-step explanation:Please give brainliest if right.

Answer:

The answer is or, should be 11.686

reflection across y = x
(2,-2)
(3,-5)
(-2,-4)

Answers

1) (-2,2)

2) (-5,3)

3) (-4,-2)

The archery club competed in a tournament. Each archer shot 6 arrows in 5 minutes.
The numbers of arrows in the inner ring of the target, or bull’s-eye, are recorded in
the table. Which archer had an average rate that can be represented as a terminating
decimal?

Answers

Answer:

Step-by-step explanation:

Answer

the number of arrow in inner ring is i don't know

Stepby-step explanation:

How to estimate 6x219​

Answers

The answer is 1,314

Answer:

To estimate I would either do 6x220 then subtract 6 from that sum

Or you could do 6x200

6x10

6x9

And add that to get your answer but 6x219 is 1314

Step-by-step explanation:

If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
CODO
So

Answers

The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of  length 46 units.

Given a line segment RT of length 46 units and line segment ST of  length 46 units and asked to find the length of line segment RS.

Given the number line RT;

RT=RS+ST

⇒46=RS+13

⇒RS=33

The length of line segment RS is 33 units.

Therefore,The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of  length 46 units.

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Two students calculated the area of a polygon in the coordinate plane using different strategies. Explain the two methods. Which method do you prefer and why?

Answers

From the two methods to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

What is the area of the composite figure?

We want to find the area of the irregular composite polygon figure. Now, there are two ways to do this which are;

1) To divide the internal part of the irregular polygon into regular shapes and find the respective areas and add up to get the total area.

2) To inscribe the irregular polygon into a regular shape like a rectangle or square, Then divide into regular shapes the external parts of the irregular polygon that share boundary with the bigger regular shape. Then add up the areas and subtract from the area of the big regular shape.

Now, looking at the two options to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

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approximately 60% of mathematics students do their homework on time. in a class of 100 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? answer choices rounded to the nearest whole number

Answers

The mean of distribution will be 60, standard deviation will be 5 and variance will be 24

Given,

The total number of students (n)= 100

The probability of students, completing their homework on time (p)= 60%

= 60 / 100

= 0.6

According to the binomial distribution,

mean = np

= 100 × 0.6

= 60.

Variance = np× (1 - p)

= 100 × 0.6 × 0.4

= 24

Standard deviation = [tex]\sqrt{variance}[/tex]

= [tex]\sqrt{24}[/tex]

= 4.89 or 5

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(Geometry)
I need help on #4 and #11, 12 and 13 please

Answers

Problem 4

Let's define these point locations

A = (-2, 2)B = (0,0)C = (0,4)D = (4,0)

Angle DBC is 90 degrees since it covers the upper right quadrant

Angle CBA is 45 degrees

Therefore, angle ABD is 90+45 = 135 degrees.

Check out the diagram below.

Answer: 135 degrees

=========================================================

Problem 11

x = the unknown angle

angle x and 140 combine to a straight angle (180 degrees)

x+140 = 180

x = 180-140

x = 40

Answer: 40 degrees

=========================================================

Problem 12

This time the angles add to 90

x+36 = 90

x = 90-36

x = 54

Answer:  54 degrees

=========================================================

Problem 13

The two angles x and 90 combine to a 120 degree angle

x+90 = 120

x = 120-90

x = 30

Answer:  30 degrees

Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Equation: 5x+6=21

Solve: 5x+6=21
-6= -6
5x=15
5x/5 = 15/5
x =3
Answer: x = 3

Answers

Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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Which of the following describes the end behavior of the function f(x) = root(x, 3) - 4 as approaches infinity ?

Answers

Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

"Compare -√7 and -3.12345.... justify your reasoning." Please help ASAP!!! Thank you!

Answers

The comparison of the numbers is that  -√7 is greater than -3.12345....

How to compare the numbers?

The numbers are given as:

-√7 and -3.12345....

Using a calculator, we have:

-√7 = -2.6457.....

-2.6457.... is greater than -3.12345....

This means that

-√7 is greater than -3.12345....

Hence, the comparison of the numbers is that  -√7 is greater than -3.12345....

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Can someone help??????

Answers

Answer:

rotate 180

Step-by-step explanation:

because you can try it urself


Solve inequality.
9 a<45

Answers

To solve the inequality, divide both sides by 9. The solution is a < 5 or (∞, 5)

Tips to solve linear inequalities:

Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.

Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis (  or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.

Example:  x ≥ 2 can be written as [2, ∞), while

                x > 0 is written as (2, ∞)

The given problem:

9a < 45

Notice that the variable, a, is already isolated on the left side.  Divide both sides by 9: (Note that the inequality sign is not flipped since 9 is a positive number)

9a : 9 < 45 : 9

a < 5

Using the interval notation, the solution is (∞, 5)

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Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.

A) Neither odd nor even
B) Odd
C) Not enough information given
D) Even

Please help!!

Answers

The function f(x) = 3[tex]x^{5}[/tex] -9 given in the question is neither an even function nor an odd function

The function f(x) = 3[tex]x^{5}[/tex] -9 cannot be an even function because the exponential power is not in the multiples of 2 and there is second step to check whether the function is even function or not if f(x)= f(-x) but this cannot be checked here because it proved not be an even function in the first step itself

The function f(x) = 3[tex]x^{5}[/tex] -9  is odd function only if -f(x) = f(-x)

so lets check f(1)= 3([tex]1^{5}[/tex]) -9 = 3-9 = -6

now f(-1) = 3(-[tex]1^{5}[/tex]) -9 =-3-9=-12

and -f(1) = 6

Hence the function given in the question is neither an even function nor an odd function

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Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = -x - 7

Answers

Answer:

spam question

not able to answer

Step-by-step explanatio

mark me

for all composite integers $n$, what is the largest integer that always divides the difference between $n$ and the cube of $n$?

Answers

The product of three successive integers is represented by the symbol n3 n=(n1)(n)(n+1).

n3 n can be divided by 6.

What is consecutive integers ?

Consecutive integers are the numbers that follow one another. They go either alphabetically or sequentially. For instance, a series of integers is a group of natural numbers. The term "consecutive" in mathematics refers to an unbroken flow or succession of numbers; hence, a sequence of consecutive integers is one where each following number is one more than the one before it. An array of consecutive integers (or numbers) has an identical mean and median. If x is a positive integer, then x + 1 and x + 2 are likewise positive integers. We shall learn in-depth details regarding formulas, characteristics, illustrations, and the significance.

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what was the approximate average speed, in meters per second, of the ocean current that carried the ducks to shore? (rubber ducks from the same spill began to appear on the coast of maine in july 2003.) use an average month length of 30 days.

Answers

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

What is average velocity?

A vector quantity is average velocity. The change in position and otherwise displacement (x) divided by that of the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity may be either positive or negative depending on the displacement's direction.

According to the given information is:

The distance covered by the rubber ducks = 1600 miles.

The duration needed to cover this distance = 10 months.

The average ocean speed, according to definition, is

v = (1600 miles)/(10 months)

Now,

1 mile = 1609 m

10 months = (10 months)*(30 days/month) *(24 hours/day)

                 = 7200 hours (approx.)

                 = 7200*3600

                 = 2.592 x 10⁷ s

So that,

ν = [tex]\frac{(1600 \mathrm{~m}) *\left(1609 \frac{\mathrm{m}}{\mathrm{mi}}\right)}{(10 \mathrm{months}) *\left(2.592 \times 10^7 \frac{\mathrm{g}}{10 \mathrm{mon} t h}\right)}[/tex]

   = 0.0993 m/s

Also,

ν = 1600/7200

  = 0.222 mi/h

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

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I understand that the question you are looking for is:

A severe storm on January 10, 1992, caused a cargo ship near the Aleutian Islands to spill 29,000 rubber ducks and other bath toys into the ocean. Ten months later hundreds of rubber ducks began to appear along the shoreline near Sitka, Alaska, roughly 1600 miles away.

What was the approximate average speed of the ocean current that carried the ducks to shore in m/s and in mi/h? (Rubber ducks from the same spill began to appear on the coast of Maine in July 2003.)

1/3y^2+2/3y+1 is it a polynomial function ​

Answers

Answer:

yes it is

Step-by-step explanation:

because it has the leading power of x as 2

a certain european automobile has a gas mileage of 19 km/l. what is the gas mileeage in miles per gallon

Answers

The gas mileage in miles per gallon = 44.690mi/gal.

What is a vehicle's mileage?

A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.

How can I figure out my mileage?

Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.

According to the given data:

1 km = 0.621371 mi

1 L = 0.264172 gal

calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.

19 km/L = (19*0.621371)/0.264172 mi/gal

= 44.690 mi/gal

the gas mileage in miles per gallon = 44.690mi/gal.

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Complex numbers
I need help!

Answers

Answer:

1. i

2. -1

Step-by-step explanation:

A machine starts working in 45 minutes at the temperature of 60degree celsius.how much machine required to work at temperature of75degree celsius?

Answers

The time required to work at temperature of75degree celsius is 56.25 minutes

Unit rate

If a machine starts working in 45 minutes at the temperature of 60degree celsius, the amount of time worked at a temperature of 1 degree is expressed as:

Unit rate = 45/60

Unit rate = 0.75degrees celsius/minute

Determine the time it required to work at temperature of 75degree celsius

Time required = 0.75 * 75

Time required = 56.25 minutes

Hence the time required to work at temperature of75degree celsius is 56.25 minutes

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the product of negative six and a number is thirty

Answers

Answer:

-6n = 30

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack. There are cards in the first pack, and there are cards in the second pack. The first pack has more cards than the second pack.

Answers

There are 12 cards in the first pack, and there are 10 cards in the second pack. The first pack has 2 more cards than the second pack.

What is a numerical data?

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data refers to a type of data set consisting of numbers (numerals) rather than words.

Based on the information provided, the number of cards (c) in each pack can be modeled by the following mathematical expression (equation):

Note: 100 cent is equal to 1 dollar.

First pack:        0.25c = 3

Second pack:  0.3c = 3

Now, we can determine the number of cards (c) in the first pack as follows:

0.25c = 3

c = 3/0.25

Number of cards, c = 12 cards.

For the second pack, we have:

0.3c = 3

c = 3/0.3

Number of cards, c = 10 cards.

Therefore, there are 12 cards in the first pack, and there are 10 cards in the second pack.

Difference = First pack - Second pack

Difference = 12 - 10

Difference = 2 cards.

In conclusion, the first pack has 2 more cards than the second pack.

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Two angles are supplementary.
The measure of the larger angle is 12
less than 3 times the measure of the smaller angle. Find the measure of
the larger angle.
O A) 25.5°
O B) 64.5°
OC) 132°
O D) 144°

Answers

Answer:

c

Step-by-step explanation:

192=4x-12

Rays DA and DC are perpendicular. Point B lies in the interior of {angle]ADC. If m[angle]ADB = (3a + 10) degrees and m[angle]BDC = 13a degrees, find a, m[angle]ADB, and m[angle]BDC

Answers

Applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

What is the Angle Formed by Perpendicular Lines?

When two lines intersect perpendicularly at a point, they form a right angle, which is equal to 90 degrees.

Thus, angle ADC is a right angle. Therefore, angles ADB and BDC are complementary angles. This means that:

m<ADB + m<BDC = 90°

Substitute

3a + 10 + 13a = 90

16a + 10 = 90

16a = 90 - 10

16a = 80

16a/16 = 80/16

a = 5

m<ADB = (3a + 10) = 3(5) + 10 = 25°

m<BDC = 13a = 13(5) = 65°

Thus, applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

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A small insect viewed through a convex lens is 1.8 cmcm from the lens and appears 2.5 times larger than its actual size. part a what is the focal length of the lens?

Answers

Answer:

4.50

Step-by-step explanation:

There's 2 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

     1 8

×     2 5

___________________

+     9 0

+   3 6  

___________________

=  4 5 0Rewrite the product with 2 total decimal places.

Answer = 4.50

Therefore:

1.8 × 2.5 = 4.50

f+B=m What does B equal?

Answers

[tex]f + b = m \\ f + b - f = m - f \\ b = m - f[/tex]

Which domain would allow the inverse of y =cos(x)

Answers

The inverse of y = cos(x) could be a function in domain (A) [0, π].

What are domain and range?The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value. To obtain the domain and range, simply solve the equation y = f(x) to determine the values of the independent variable x. To calculate the function's range, simply express x as x=g(y) and then find the domain of g(y).

So, domain of  y =cos(x):

The inverse cosine function has a domain of [1,1] and a range of [0, π].

Therefore, domain (A) [0, π]  would allow the inverse of y = cos(x) to be a function.

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The complete question is given below:

Which domain would allow the inverse of y = tan(x) to be a function?

A) [0, π]

B) [0, 2π]

C) (-∞, ∞)

D) [-π/2, π/2]

how many 23 digit numbers consisting of the digits, 1,2,3,7,8,9 are divisble by 3? (hint: consider the divisibility test for 3)

Answers

Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

Valeria bought a 9 foot length of ribbon from which she wants to cuut 2/3 foot pieces how many pieces can she cut what will be the length of the leftover pirece of ribbon?

Answers

The number of pieces she can cut is 13 and the length of the leftover piece of ribbon is 1/3 feet, by basic algebra.

What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Given:

Total length of ribbon = 9 feetLength of each piece of ribbon = 2/3 feet

To find: Number of pieces of ribbon cut and length of leftover pieces.

Finding:

Let x be the number of pieces of ribbon that can be cut.

Then, according to question, by basic algebra:

2x/3 = 9

=> x = [tex]\frac{27}{2}=13\frac{1}{2}[/tex]

That is, the number of pieces of ribbon that can be cut are 13

The leftover length of ribbon is then given by:

9 - 13 (2/3) = 9 - (26/3) = 1/3

That is, the leftover length of ribbon is 1/3 feet.

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The primary reason designers seek to lower the center of gravity in automobiles is to? What effect did humanism have on society during the Renaissance? Pls helppp me i will give points 90 POINTSWhich best describes the role of the Speaker of the House?to be the leader of the Senateto be the lead representativeto introduce billsto give speeches Pyramus and Thisbe The author uses the narrator's perspective to create irony bydepicting Carol as disappointed and frustrated rather than excitedabout her bridal homecoming. Select three examples that showhow the author develops this perspective throughout the text.(R.1.3)A. She obediently bent her head to look out at them. She had holdof herself. She was ready to love them.B. "I shall like Mr. Clark I CAN'T call him 'Sam'! They're all sofriendly." She glanced at the houses; tried not to see what shesaw.C. She knew that they were welcoming her. Their hands, theirsmiles, their shouts, their affectionate eyes overcame her. Shestammered,"Thank you, oh, thank you!"D. "Why do these stories lie so? They always make the bride'shome-coming a bower of roses. Complete trust in noble spouse.Lies about marriage. I'm NOT changed.E. But the man looked at her reassuringly and with a certainty thathe was a person whom she could trust. She confessed,"As amatter of fact I haven't got anybody straight."F. She reminded herself that she was actually at the dramaticmoment of the bride's home-coming. She ought to feel exalted. Shefelt nothing at all except irritation at their slow progress toward thedoor. A projectile is fired straight up from the south pole of earth with an initial speed vi = 15km/s. find the speed of the projectil when it is very far from the earth, neglecting air resistance Which is the best example of economies of scale? select one: a. a parking garage b. the pizza business c. a small family farm d. the generation of electricity Response questions depend on the test takers ability to recall information. please select the best answer from the choices provided t f Gerald has lung cancer. according to his physician, the cancer has metastasized, which means it has? What do you think6. Why are rules and laws needed to protect people'sLacepossessions?7. What are three customs you practice?Beginnings of American government Lucas wants to buy a new car. Before he makes a final purchase, he decides to do a full web-based information search. He also talks with his family and friends to gain even more knowledge. What type of decision-making is this an example of?. Robert wants to buy a digital piano at a yard sale. to obtain a scan using a(n) , a patient is injected with a low and harmless dose of a short-lived radioactive glucose. Who is responsible for finding the correct part needed by the service technician? shop foreman service advisor counter person service technician Let b be the basis of r2 consisting of the vectors [ 4 ] 2 and [ -2 ] 5 , and let r be the basis consisting of [ 2 ] -3 and [ -1 ] 2 . find a matrix p such that [x]r=p[x]b for all x in r2. 14. Sometimes, gas particles are similar tobilliard balls on a pool table. Explain how theirbehavior is similar. Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.please help i need this done HELPPPPPPPASAPQuestion:Evelyn has some paracord with a total length of 5- meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?Work/Reasoning & Answer: a liquid solvent is added to a flask containing an insoluble solid. the total volume of the solid and liquid together is 85.0 ml.85.0 ml. the liquid solvent has a mass of 44.3 g44.3 g and a density of 0.865 g/ml.0.865 g/ml. determine the mass of the solid given its density is 1.75 g/ml. Jason biked 60 miles. he averaged 15 miles per hour. how long did he ride? Different kinds of substances have different properties. Compare and Contrast the electrical properties of salts, metals, and acids