What is the slope of the line that passes through the points (2, 8) and (12, 20)?
Write your answer in simplest form.

Answers

Answer 1

Answer:

6/5

Step-by-step explanation:

m = (y_2 - y_1)/(x_2 - x_1) = (20 - 8)/(12 - 2) = 12/10 = 6/5


Related Questions

I need help −1/1/5+(−3/5)=

Answers

Answer:

- 4/5 /decimal form -0.8

Step-by-step explanation:

-9/5 is the answer or -1.8

The Alden Middle School girls' soccer team won 80% of its games this season. If the team won 12 games,how many games did it play?

Answers

Answer:

15 games

Step-by-step explanation:

Since the team won 80% of the games and won 12, we can put these into an equation.

80% is also 0.8 so:

x * 0.8 = 12

To find x we can simply do 12 divided by 0.8 which equals =

15

Solve 4x + 3y = 2 for y. Question 18 options: A) y = –4∕3x + 2∕3 B) y = –4x + 2 C)

Answers

Answer:

i think its answer is A or D

Answer:

y =2/3 =4/3x

Step-by-step explanation:

HELPPP QUESTION three

Answers

The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.

Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.

From the image above,it is clear that the rays BA and BD are antiparallel.

A ray is a segment of a line with a starting point and an infinite length in one direction.

Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.

Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).

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If the 100th term of an arithmetic sequence is 609, and its common difference is 6, then
its first term a1=
It’s second term a2=
It’s third term a3=

Answers

Answer:

15, 21, 27

Step-by-step explanation:

[tex]a_n}[/tex] = [tex]a_{1}[/tex] + (n-1)d  

[tex]a_{n}[/tex] is the number in the sequence we are looking for

[tex]a_{1}[/tex]  This is the first term in the sequence that we do not know and we are looking for

n stands for the number of the term and d is the common difference.  We will put in all that we know and solve for the first term.

609 = [tex]a_{1}[/tex] + (100-1)6  

609 =[tex]a_{1}[/tex] + (99)6

609 = [tex]a_{1}[/tex] + 594  Subtract 594 from both sides of the equation

15 = [tex]a_{1}[/tex]

Now that we know that the first term is 15 we just add 6 to get the next term which is 21 and then add 6 again to get the last term 27.

In the metric system, how many milligrams are needed to make a gram?

Answers

Answer:

In one gram, there are 1000 milligrams.

To convert g to mg, multiply the gram value by 1000.

How are defined terms and undefined terms related?

Answers

Answer:

"Defined items" are defined in terms of "undefined terms".

Step-by-step explanation:

None.

What is the mean and the median of 2, 4, 6, and 8?

Answers

Mean
2+4+6+8=20
20/4=5

Median
2,4,6,8

*4+6=10
10/2=5

What
is the slope of the line that passes through the points (-4, 6) and (-4, 18)?
Write your answer in simplest form.

Answers

Undefined slope because there is no change in c values meaning the denominator of the slope is zero
And that makes it undefined

The sum of three consecutive integers is 303. If n is the smallest of the three, which equation represents this situation?

Answers

The equation that best represents a the given situation is: 3n + 3 = 303., as found by number system.

What is number system?

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given: Sum of three consecutive integers is 303.

n = smallest integer.

According to question, the other two integers are: n + 1, and n + 2.Since the sum of the three consecutive integers is 303, addition operation on the values of number system

n + n + 1 + n + 2 = 303

3n + 3 = 303.

Hence, The equation that best represents a the given situation is:

3n + 3 = 303., as found by number system.

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Find all sides to the right triangle

Answers

Answer: 22, 15.4, 26.857

Step-by-step explanation:

sin 55=0.819

22/0.819=26.857

sin 35=0.5736

26.857*0.5736=15.4

sin 90=1

26.857*1=26.857

22, 15.4, 26.857

What is the difference between positive association and negative association as it pertains to the relationship between two​ variables?.

Answers

A positive association occurs when an increase in one variable is generally associated with the increase in the second variable and a negative association occurs when one variable tends to decrease as the other increases.

What is meant by an association relationship between two variables?

An association is any relationship between two factors that produces them subordinate, i.e. knowing the value of one variable gives us some data around the possible values of the moment variable.

The objective of this variable is to utilize clear measurements and visualisations to investigate affiliations among different kinds of factors.

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What is constant in the simplified form of (x - 6)²?

Answers

Answer:

36

Step-by-step explanation:

The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.

Hope this helps! :)

Answer: +36

Step-by-step explanation:

(x - 6)² simplified: x^2 -12x + 36

The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)

the area of the rectangle is 14yd squared and the length of the rectangle is 3yds leass than twice the width

Answers

The dimensions of the rectangle are:

Length = 7/2 ydWidth = 4 ydTotal area = 14 yd²

What is the area?The quantity area expresses the extent of a region on a plane or curved surface. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

To find the dimensions of the rectangle:

Let,

Area = A = 14Width = wLength = 2w-3A = lwA = (2w-3)w

Extend the area equation as follows:

A = 2w2-3w

Rearrange:

2w2 - 3w - A = 0

Substitute known information for A:

2w2 - 3w - 14 = 0

To solve quickly, factor the left side (or use the quadratic formula):

(w+2)(w - 7/2) = 0

The factorial solutions for w are -2 and 7/2.

Assuming this is a genuine rectangle, the width must be positive.

As a result, the length is:

2(7/2) - 3

That is,

7 - 3 = 4

Therefore, the dimensions of the rectangle are:

Length = 7/2 ydWidth = 4 ydTotal area = 14 yd²

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The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.

george’s average bowling score is 180; he bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. bill’s average bowling score is 190; he bowls in a league where the average is 160 and the standard deviation is 15. who ranks higher in his own league, george or bill?

Answers

Bill is better bowler than George.

To decide who's the relative better bowler, George or Bill, I've first drawn bell curves for each of their leagues. George's league is in red mean is 150 a standard deviation of 20. And Bill's League Demean is higher at 160, but the standard deviations it is lower at 15, so I've numbered my bell curve by 15.

Now to decide who's relative better bowler, I'm going to calculate their Zscores for George, His observed value is 180, which would fall right here on our number line, and his Z score is gonna be 180- the mean. So he's 30 points above the mean, Divided by the standard deviation (180-150)/20=1.5 And then for bill, we're going to do the same thing. His score is also, let's see here his score is 190,(190-160)/15=2And you can probably see just by marking that on the bell curve, that that's actually two standard deviations above the ME, which is more than George is 1.5 standard deviations above the mean. So we can say that Bill is better bowler.

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The roof and exterior walls of a house represent intersecting planes. Using the image, name all the lines that are formed by the intersecting planes. (i dont have the picture but if you know which question im talking about please help me)

Answers

In the possible diagram of the house, the lines formed by intersecting planes are; [tex] \overline{AG}[/tex], [tex]\overline{ AB}[/tex], [tex]\overline{AH}[/tex], [tex]\overline{GF}[/tex], [tex]\overline{ BH}[/tex], [tex]\overline{HF}[/tex], [tex]\overline{BC}[/tex], [tex]\overline{ HD}[/tex], and [tex]\overline{FE} [/tex]

What are the planes and the lines formed by them on the building?

The diagram found in a similar question has points A, G, B, H, and F on the roof.

The points on the walls of the house are; B, H, F, C, D, and E

A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.

A plane can be identified by three non collinear points that lay on it.

A line is a figure that does not have a curvature, width or depth, and it is infinitely long.

The planes on the roof are; ABH and AGHF

The planes on the walls of the house are; BCDH, and HDCF

The lines that are formed by the intersecting planes are therefore;

On the roof;

[tex] \overline{AG}, \overline{ AB}, \overline{AH}, \: \overline{GF},[/tex]

Between the roof and the walls of the house;

[tex]\overline{BH}, \overline{HF}[/tex]

Between the two sides of the walls;

[tex] \overline{BC}, \overline{ HD}, \overline{FE} [/tex]

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3.
According to the 2010 census, the population of Nebraska was 1.8 x 106 people. Which state
had a smaller population?
OCalifornia: 3.7 × 107
ORhode Island: 1.1 × 106
OTexas: 2.5 x 107
OMissouri: 6 x 106

Answers

If the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

Given,

The population of Nebraska = 1.8×[tex]10^{6}[/tex]

The population of Rhode Island = 1.1×[tex]10^{6}[/tex]

1.1×[tex]10^{6}[/tex] <  1.8×[tex]10^{6}[/tex]

So, Rhode island has population less than Nebraska

Hence, if the population of Nebraska was 1.8×[tex]10^{6}[/tex], then the state which had a smaller population is Rhode Island

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Jonah read 5 1/2 chapters in his book in 90 minutes. How long did it take h
to read one chapter?

Answers

16.36363636363636 so approximately 17 minutes

What is the simplified form of the quantity x over 4 plus y over 3 all over the quantity x over 3 minus y over 4?

Answers

The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y).

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the phrase,

x over 4 = x/4

y over 3  = y/3

Combine x/4 + y/3

x over 3 minus y over 4 = x/3  - y/4

Therefore ;

(x/4 + y/3) ÷ (x/3  - y/4)

⇒ (3x + 4y)/12 ÷ (4x - 3y)/12

The second fraction will inverse in multiplication

⇒ (3x + 4y)/12 × 12/(4x - 3y)

⇒ (3x + 4y) / (4x - 3y).

Hence "The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y)".

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How many cubes are in the box? What fraction of the entire box do the 7 cubes represent? Explain you answer. 10*10*10

Answers

Answer:

7/10 %

Step-by-step explanation:

Solve the inequality and express your answer in interval notation.
x^2-6x+7 < 0

Answers

Solution:

A. [tex](3-\sqrt{2}, 3+\sqrt{2})[/tex]

Hope this helps!

an independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. they collected information on the percentage of the bill left as a tip for 2525 randomly selected bills. the average tip was 13.1.1% of the bill with a standard deviation of 2.6%2.6%. assume that the tips are approximately normally distributed. construct an interval to estimate the true average tip (as a percent of the bill) with 90% confidence. round the endpoints to two decimal places, if necessary.

Answers

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

What is a standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. When the standard deviation is low, the data are concentrated around the mean, and when it is large, the data are widely dispersed.

Sample mean (T) = 13.11%

Sample standard deviation (s) = 2.6

Sample size (h) = 25

significance level = α = 1 -0.90 = 0.1

Degrees of freedom for t- distribution (df) = 24

Critical value = ta/2

df = [tex]t_{0.1}[/tex], df=24 = ±2.80

The margin of error (E) =[tex]t_\frac{a}{2} , df\frac{s}{\sqrt{h} }[/tex]

E=2.8X [tex]\frac{2.6}{\sqrt{25} }[/tex] =1.456

Limits of 90%. Confidence Interval is.

Lowest limit = X' - E = 13.11-1.456 = 11.65

Upper limit= X' + E = 13.11+1.456 = 14.566

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

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simplify

5/8 divide by 5/6

Answers

Answer: 3/4

Step-by-step explanation:

See attached work. Remember when dividing fractions, you must multiply by the reciprocal of the second fraction.

Find the circumference of the largest circle that will fit inside of a square that has an area of 144 square feet?

Answers

Answer:

6

Step-by-step explanation:

The square's side will be √144 = 12

The largest circle will have diameter of 12 so it's radius will be 12/2 = 6

what is the simplest form of 3/7 of 6/1​

Answers

3/7 of 6/1 means [tex]6(\frac{3}{7})=\frac{18}{7} =2\frac{4}{7}[/tex]

hope this helped

The length of a rectangle is 6 inches longer than its width. What are the possible widths if the area of the rectangle is at least 667 square inches?

Answers

Answer:

D, [tex]w\geq 23[/tex]

Step-by-step explanation:

The length is 6 inches longer than it's width, therefore:

[tex]l=w+6[/tex]

The area of the rectangle is AT LEAST 667 square inches, so:

[tex]lw\geq 667[/tex]

Now, we have a system of two equations:

[tex]\left \{ {{l=w+6} \atop {lw\geq 667}} \right.[/tex]

We want to isolate the width, so substitute the first equation into the second to eliminate the length.

[tex](w+6)w\geq 667[/tex]

Simplify:

[tex]w^2+6w\geq 667[/tex]

Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.

[tex]w^2+6w-667\geq 0[/tex]

Now factor the equation:

[tex](w-23)(w+29)\geq 0[/tex]

Taking each factor individually, we find the following:

[tex]w\geq 23\\w\geq -29[/tex]

Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!

[tex]w\geq 23[/tex]

Select the correct answer.
Which expression is equivalent to 4x²√5x4 3√5x8, if x=0?
OA. 12x¹0 √5
OB. 60x8
OC.
35x18
O D. 7x¹⁰ √5

Answers

The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

We have to simplify the given equation 4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] in order to find its equivalent

Which can be simplified using the basics of square and square roots

Square and square root gets cancelled for example [tex]\sqrt{x^{2} }[/tex] = x and powers get added when same bases are multiplied for example x² × x³ = [tex]x^{2+3}[/tex] =[tex]x^{5}[/tex]

Also √25 can be written as  5

At x = 0 the whole expression can be written as zero

4x² ×√[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex]

12x²×[tex]x^{2} \sqrt{5}[/tex] ×[tex]x^{4} \sqrt{5}[/tex]

12[tex]x^{8}[/tex] ×√25

60 [tex]x^{8}[/tex]

Hence, The expression  4x²×[tex]\sqrt{5x^{4} }[/tex] ×3[tex]\sqrt{5x^{8} }[/tex] is equivalent to 60 [tex]x^{8}[/tex] if x≠ 0 which is option B

The correct question is Select the correct answer.

Which expression is equivalent to 4x²√5x4 3√5x8, if x≠0?

OA. 12x¹0 √5

OB. 60x8

OC.35x18

O D. 7x¹⁰ √5

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Simplify the the following

Answers

Answer:

Answer is in the picture attached

angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. is this an accurate predictor of how well students in the algebra class will perform on the test? (2 points) yes, because angie is representative of the population in the algebra class yes, because angie scored high on the test so it must be easy no, because angie is not representative of the population in the algebra class no, because angie scored too high on the test

Answers

No, this is not an accurate predictor because angie is not representative of the population in the algebra test.

Here,

Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%.

We have to find is this an accurate predictor.

What is Accurate predictor?

Accurate predictor describes whether the predicted values match the actual values of the target field within the incertitude due to statistical fluctuations and noise in the input data values.

Here,

Angie is the student of an  advanced statistics course but she gives the algebra test and scored 80%.

We know that the advanced statistics is the higher level of math so it is not an accurate predictor.

Because, An accurate predictor should be applied when the person is 100% confirmed to the related thing. So in the given situation, the student is not 100% confirm.

Hence,  this is not an accurate predictor because Angie is not representative of the population in the algebra test.

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in a reaction time study involving 12 participants, the number of participants whose average time is between 400 and 600 milliseconds

Answers

Using the concepts of continuous and discrete variables it is found that the reaction time of students would be a continuous variable.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it asks to classify the variable reaction time of students as discrete or continuous.

What are continuous and discrete variables?

Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …

A reaction time of 500.5 milliseconds is a valid reaction time, hence a decimal value is accepted, meaning that the reaction time of students would be a continuous variable.

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