Please answer this by 11/01/22. Thank you.

Please Answer This By 11/01/22. Thank You.

Answers

Answer 1

Answer: a) AE || BC     b)AB=BC      c)AE⊥ED &ED⊥CD

Step-by-step explanation:

a) The line segments that have the arrow sign on them mean that they are parallel, so AE || BC ( || = parallel to).

b) When two line segments have a dashed line on it, it shows that they are the same length, so AB is equal to BC.

c) when two segments intersect with a 90° angle, they are perpendicular, so AE⊥ED &ED⊥CD(⊥ = perpendicular to).


Related Questions

two families with four people in each family go to a movie theater. in how many ways can they be seated

Answers

According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

What seating configuration?

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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BRAINLIEST IF YOU CAN HELP ME!

52. 0.5(cos 100deg + I sin 100 deg ) convert to trigonometric form

PAGE 347; 52, 58, 60

Answers

Answer:

the answer us on the attatched documet

Step-by-step explanation:

can u just give me the brainliest

Is 2 a positive number?

Answers

Answer:

the 2 positive of number is

Step-by-step explanation:

2_:3+23*3⅔+09=2465

Sidney would like to buy a winter coat with an original price of $44.60. Which coupon should she use?

Answers

What’s the options? There’s no options

What is another word for undecidable?

Answers

Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

Clarify algorithm.

A calculation or problem-solving procedure is known as an computation or algorithm. Algorithms serve as a thorough set of instructions that direct hardware- or software-based routines through a sequence of planned actions step by step. In all areas of IT, algorithms are commonly employed.

Here,

If it is impossible to develop an algorithm that reliably returns a true or false result for each input value, the problem is said to be undecidable.

The category of inherently unknowable questions, a subtype of insoluble problems, only includes questions that ought to receive a yes-or-no response .

Thus ,incomputable. is another word for undecidable.

Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

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How can these models be used to find the sum 2. 3 + 1. 94?




Enter your answers in the boxes.


The models show a total of 3 wholes,

tenths, and

hundredths. After regrouping 10 tenths into 1 whole, there are

wholes,

tenths, and

hundredths. Therefore, the sum of the numbers is

Answers

The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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In a market urvey, 100 trader ell fruit. 40 ell apple, 46 orange, 50 mangoe, 14 apple and orange, 15 apple and mangoe and 10 ell all three fruit each of the 100 trader ell at leat one of the three fruit. (A) how many trader ell only one fruit. (B) how many trader ell only two fruit

Answers

A)There are 88 trader sell only one fruit.

B) There are 46  trader sell only two fruit.

Since there are three sets, use the formula

n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)

A represents apple traders = 40

O represents orange traders = 46

M represents mangoes traders = 50

A∪O∪M = total traders = 100

A∩O = 14

O∩M = ?

A∩M = 15

A∩O∩M = 10

B) Substitute values into the formula

100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10

100 = 146 - 29 - O∩M

100 = 117 - O∩M

Make O∩M subject of formula

O∩M = 100 -117

O∩M = 17 traders

Now,

n(A∩O) -n(O∩M) - n(A∩M)

= 14 + 17 + 15

= 46

Therefore, the number of traders that sells two fruits  are 46.

A) oranges n(O)

= 46-(4+10+ x)

= 32

Again,

mangoes n(M).

= 50-(5+10+x)

= 35

Now,

apple n(A)

= 40-(4+10+5)

= 21

Now, adding all of them we get:

n(o) + n(M) + n(A) = 32 + 35 + 21

                            = 88

Therefore, 88 trader sells only two fruit

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Find the area of the right triangle below.
9m
4m

Answers

Area = 1/2*base*height = 1/2*9*4 = 18 sq.m

The length and breadth of the three rectangles are as given below:(a) 9 m and 6 m(b) 17 m and 3 m(c) 4 m and 14 mWhich one has the largest area and which one has the smallest?

Solution:

We will be using the area of rectangle formula to calculate the areas of the three rectangles given.

(a) Length(l) = 9 m and Breadth(b) = 6 m

Area of rectangle = l × b

= 9 × 6

= 54 m2

(b) Length(l) = 17 m and Breadth(b) = 3 m

Area of rectangle = l × b

= 17 × 3

= 51 m2

(c) Length(l) = 4 m and Breadth(b) = 14 m

Area of rectangle = l × b

= 4 × 14

= 56 m2

Therefore, the area of the rectangle with the dimensions 4m and 14m having an area of 56 m2 that is (c) has the largest area whereas, the area of the rectangle with dimensions 17m and 3m having an area of 51 m2 that is (b) has the smallest area.

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Find the area of the polygon with the given vertices.
W(-1, 1)
-4
Z(-3,-2)
4
Ay
2
-4
2
X(4,1)
4 x
Y(2,-2)

Answers

The area of a polygon with the given vertices is calculated by adding the areas of the individual triangles that make up the polygon.

What is polygon?

A polygon is a closed figure in a plane consisting of a set of straight line segments connected end-to-end. The sides of a polygon are all of equal length, and the angles between them are all of equal measure. Polygons are one of the most fundamental shapes in geometry. They include triangles, squares, rectangles, hexagons, and many more.

The area of triangle WXZ is calculated as (1/2) × |XW × ZY|,

where XW is the vector from W to X and ZY is the vector from Z to Y.

In this example,

XW = (3, -2) and ZY = (-2, -4).

Therefore, the area of triangle

WXZ is (1/2) ×|(3, -2) × (-2, -4)| = (1/2) × 14 = 7.

The area of triangle XYA is calculated similarly,

where XY = (2, 3) and YA = (-2, -4).

Therefore, the area of triangle

XYA is (1/2) ×|(2, 3) ×(-2, -4)| = (1/2)× (-14) = -7.

The area of the polygon is calculated by adding the areas of the individual triangles, which in this example is 7 + (-7) = 0. Therefore, the area of the polygon with the given vertices is 0.

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How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of

Answers

Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.

What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.

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Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348. 75 and σS = $1,508. 48. How can these values be interpreted? Check all that apply. The average of the sums of both types of tuitions would be $6,348. 75 for many, many randomly selected pairs of students. Students who pay both types of tuition will pay $6,348. 75 per semester. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348. 75. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348. 75 by about $1,508. 48. Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508. 48 per semester

Answers

The average tuition for two randomly chosen in-state and out-of-state students is around $1,508 less than the mean of $6,348.75.

Mean Deviation

The average deviation from the mean value of the provided data set is determined using the mean deviation, which is defined as a statistical metric.

Given

μS = $6,348.75

σS = $1508.48

The average sum of the tuition fees is $6348.75

As a result, it follows:

The standard deviation of the tuition for in-state students is measured as a difference from 6348.75.

The standard deviation for out-of-state students gauges how their tuition is different from 1508 in total.

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What are the factors of a term 5x?

Answers

The factors of 5x as calculated from the data given is found to be as 5, x and  1 .

On factorizing 5x we can write it as ,

5 x 1 x x .

Therefore the factors are 5 , 1 and x.

There are some integers which are positive and can divide a number completely leaving no remainders. Such integers are known as factors for a number. If we want to get a product by multiplying two numbers , we will have to multiply two factors. Each number is a multiplier of itself.

The prime factor is the factor of a given number that is also a prime number. Factors are numbers that are multiplied together to produce another number.

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How do you simplify 3 ratios?

Answers

To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 350: 250: 125

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

350/5: 225/5: 125/5

70: 45: 25

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 14: 9: 5.

70/5: 45/5: 25/5

14: 9: 5

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whats the answer? please help!

Answers

Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N

Answers

Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)

What does trigonometry mean exactly?

When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.

Here,

tan x tan 4x=1

cos 4X cos X - sin 4x sin x=0

cos 5x=0

5x=(n+1/2)π,n ∈ Z

x=(2n+1)/10 π,0 <x <π

π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)

Thus, there are only four solutions.

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what is 2/3(x+7)-18x+4/5 simplifyed

Answers

Step by step explanation

2x + 14
———- -18x+4/5
3

So you do the lcm of 3&5 = 15

The 4/5 dived 15 that is 5 divided by 15 is three that’s how we got three here the arrow is what I am showing you where the three is ^
5(2x+14-279x+3 (4

10x+70-270x+ 12

10 -270x + 70 + 12

= -260x+82 ( final answer)

A hot air balloon is cruising at an altitude of 120 m above ground when it begins its descent the balloon descends at a rate of 4.5 m per minute explain how you would set up the equation to model when the balloon will reach an altitude of 75 m above ground then solve the equation and check your solution

Answers

The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

The balloon will reach an altitude of 75 meters above the ground.

Now, 120-75 =45 meters

Let t be the time to descends 45 meters

So, 120 - 4.5t= 75

= -4.5 t = 75-120

= -4.5t = -45

= t = -45/(-4.5)

= t = 10 minutes

Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

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Help ASAP!!!!!!!!!!!!!!!!

Answers

The correct order of match is 1-a, 2-b, 3-d and 4-c.

What are conic sections?

The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.

A plane crosses the cone, and the resulting section is referred to as a conic section.

Given the equations,

the equation for parabola is given by

(y - b)² = 4p(x - a)

Vertex is (a,b)

equation 2 follows the same

x = -2(y - 4)² + 3

this is the equation for parabola.

Equation for ellipse is

(x − a)²/h² + (y − b)²/k² = 1

the equation x²/4 + (y - 8)²/144 = 1

(x/2)² + ((y - 8)/12)² = 1

the equation is same is equation for ellipse,

Equation for circle

(x - h)² + (y - k)² = r²

fourth equation

(x - 9)² + (y + 2)² = 7²

is same as equation of circle

Equation for hyperbola

(x − a)²/h² − (y − b)²/k²  = 1

equation (x - 3)²/5 - (y + 4)²/25 = 1

is same as equation of hyperbola.

Hence the correct order is a, b, d, and c.

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I’m doing homework and this may be easy for others but I’m not that good at learning quickly. Take ur time it’s fine. Please help

Answers

the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]

How do you graph LN functions?

Answers

We will plot the graph for a LN function by keeping in mind that the domain must be greater than 0.

What is LN function?

LN means natural logarithm. LN function denotes natural logarithm function. It has also another name, logarithm of base e.

It is expressed as

y = ㏑x that is the inverse of                            

the natural base exponential function

y = ex

How do we graph LN function?

If we have a logarithm function, f(x) = y = ln x

while plotting with the above function, ln x can be found for only the positive value of x and there is no value of ln x for negative values.

The properties of the graph of the LN function are following.

The domain of the LN function is only the real numbers that means x > 0.

The ranges of the LN function are all real number.

The coordinate of x intercept of the LN function is (1, 0).

The graph of LN function will be such that it will never touch the Y axis although it always approaches to it.

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Can a polynomial have no real roots?

Answers

Odd degree polynomials can have no real roots.

A polynomial of even degree can have any number from 0 to n distinct real roots. A polynomial of odd degree can have any number from 1 to n distinct real roots.

polynomials

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Real root

A real root is a solution to an equation which is also a real number.

Real number

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

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3. A sample of 10 networking sites for a specific month has a mean number of visits of 26.1 and a sample standard deviation of 4.2. Find a 99% confidence interval of the population mean.

Answers

The confidence interval is (22.68,29.52).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.

n = 10

x = 26.1

s = 4.2

Two-sided confidence interval :

CI = [tex](x-\frac{z*s}{\sqrt{n}},x+\frac{z*s}{\sqrt{n} } )[/tex]

    = [tex](26.1-\frac{2.576*4.2}{\sqrt{10}},26.1+\frac{2.576*4.2}{\sqrt{10}} )[/tex]

    = (26.1−3.42,26.1+3.42)

    = (22.68,29.52)

Hence, the confidence interval is (22.68,29.52).

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Question 2
In 2007 the US Census Bureau reported that 71.3% of American families owned their
homes. The city council is debating on whether to offer tax breaks to first time
homebuyers, but they only want to do so if there is strong evidence that the rate of
home ownership has increased since 2007 since it will cost the city money to do so.

a) What are the null and alternative hypothesis?

b) Describe a Type I error in context along with the consequence.

c) Describe a Type Il error in context along with the consequence.

d) Which is a more serious error in this context? Justify your answer

e) For each type of error, tell who would be harmed.

(These are questions to answer, not answer choices.)

Answers

The answer to all the questions is explained below with justifications.

What is hypothesis testing?

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

a) The null hypothesis[tex](H_o)[/tex] is that 71.3% or more of American families owned their homes.

The alternative hypothesis[tex](H_1)[/tex]is less than 71.3% of American families owned their homes.

b) The type I error is the null hypothesis is true but we assumed it to be false that is 71.3% or more of American families owned their homes but the council did not provide tax breaks.

The type II error is the null hypothesis is false and we assumed it to be true

that is less than 71.3% of American families owned their homes and the council provides tax breaks.

c) The consequences of the type II error would be the council will provide tax breaks to more people and it would cost them a large amount of money.

d) Type II error is more serious in this context as the council has to lay off a large amount as compared to individual homeowners who already can afford to buy a house.

e) For type I error house owners will be harmed and for type II error counsel will be harmed.

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A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit?

The sampling distribution of dis normal.

B

The sampling distribution of d is binomial.

с

The sampling distribution of dis uniform.

d is unbiased.

E

d is biased

Answers

Using the Central Limit Theorem for proportions, the correct option is:

E. The statistic is biased.

In plain English, what is the central limit theorem?

According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.

What is the central limit theorem and why is it significant?

Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.

                  Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.

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The light blue askes for the word form, the green says g= -1, the yellow askes for possible solutions, the purple wants how you shade the number line.
Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: get yio colors straightv

Step-by-step explanation:

Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x

Answers

16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6

smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest

As part of an experiment to test different liquid fertilizers, a sprinkler has to be set to cover an area of 140 square yards in the shape of a sector of a circle of radius 50 yards. Through what angle should the sprinkler be set to rotate? If necessary, round the answer to two decimal places

Answers

The sprinkler should be set to rotate through  the angle 6.42 degrees.

What is an angle?

Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.

r =  50 yards

Area, A = 140 square yards

Θ = angle

A= (Θ /360) πr²

140 = (Θ /360) * 3.14 * 50*50

Θ = (140*360)/(3.14*25*100) = 6.42 degrees

The sprinkler should be set to rotate through  the angle 6.42 degrees.

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A distribution of exam scores has mean 60 and standard deviation 18. If each score is doubled, and then 5 is subtracted from that result, what will be the mean and standard deviation, respectively, of the new scores

Answers

If each score is doubled, and then 5 is subtracted from that result, then the mean and standard deviation will be 115 and 36 respectively.

What will be the mean and standard deviation?

A huge group of test results has a mean of 60 and a standard deviation of 18. If each score is doubled and then 5 is deducted from the result, the mean and standard deviation are “ mean = 115; standard deviation = 36”. Mean = 2 x 60 -5 = 120 -5 = 115

2 x 18 = 36 standard deviation

The mean is the average and is calculated as the sum of all the results from the example divided by the total number of events.

The standard deviation (SD) is a statistic used to assess the degree of variation or dispersion in a set of data values.

A low standard deviation indicates that the information points slant toward being near the mean of the set, whereas an exclusive expectation deviation or a high standard deviation indicates that the information points tilt toward being near the mean of the set.

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Are polynomials closed under addition?

Answers

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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1. Write the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1).
2. Find the reflection of the point A(3, -2) through the mirror line of y = 1/2x − 1.

Answers

To find the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1), you can first find the slope of the line segment. The slope is calculated using the formula:
slope = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points into the formula gives:

slope = (-1 - 4) / (-1 - 5) = -5 / -6 = 5/6

To find the equation of the mirror line, you can use the slope of the line segment and the midpoint of the line segment. The midpoint is calculated using the formula:

midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of the two points into the formula gives:

midpoint = ((5 + -1) / 2, (4 + -1) / 2) = (2, 1.5)

The equation of the mirror line is perpendicular to the line segment, so its slope is the negative reciprocal of the slope of the line segment. The negative reciprocal of 5/6 is -6/5. To find the equation of the mirror line, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. Substituting the slope and midpoint into the equation gives:

y = (-6/5)x + b

Substituting the y-coordinate of the midpoint (1.5) for y gives:

1.5 = (-6/5) * 2 + b
3 = -6 + 5b
9 = 5b
b = 1.8

Therefore, the equation of the mirror line is y = (-6/5)x +
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