Mathematics Middle School

find the equation of the line given two points. (2,1), (5,2). y=?

example answer: (4,0), (5,2). y=2x-8

please help. ive been on this problem for almost an hour now

Answers

Answer 1
Answer: [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
Note: the slope is 1/3 and the y intercept is 1/3

------------------------------------------------------

Explanation:

First we need the slope of the line through the two points. Use the slope formula

m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3

The slope is m = 1/3

Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b

y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3

So the slope and y intercept are
m = 1/3
b = 1/3

Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]

Related Questions

Sarah is blowing up spherical balloons for her brother's birthday party. One of the balloons has a radius of 3 inches. Round to the nearest tenth.

Suppose Sarah can inflate the balloon at a rate of 200 cubic inches per minute. How long will it take her to inflate the balloon?

Answers

we know that
[volume of a sphere]=(4/3)*pi*r³
 for r= 3 in
calculate the volume of one balloon
balloons=(4/3)*pi*r³-------> (4/3)*pi*3³----------> 113.04 in³

if the rate is 200 in³ --------------------> 1 minute
     113.04 in³------------------------> X
X=113.04/200------------> 0.5652 

the answer is 0.6 minutes

Final answer:

Sarah will take approximately 0.6 minutes or 34 seconds to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute, after calculating the volume of the balloon and dividing by the rate.

Explanation:

How long will it take Sarah to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute?

To solve this problem, we first need to calculate the volume of the spherical balloon using the formula for the volume of a sphere, which is [tex]V = \(\frac{4}{3}\)\pi r^3[/tex], where r is the radius of the sphere. In this case, the radius is 3 inches. Plugging the values into the formula, we get:

[tex]V = \(\frac{4}{3}\)\pi (3)^3 = \(\frac{4}{3}\)\pi (27) = 36\pi cubic inches[/tex]

Now, given that Sarah can inflate the balloon at a rate of 200 cubic inches per minute, we can calculate the time it takes to inflate the balloon by dividing the total volume by the rate:

[tex]Time = \(\frac{Volume}{Rate}\) = \(\frac{36\pi}{200}\) minutes[/tex]

Using the approximation \(\pi = 3.14\), this results in:

[tex]Time = \(\frac{36 \times 3.14}{200}\) = \(\frac{113.04}{200}\) ≈ 0.565 minutes[/tex] or about 33.9 seconds, rounded to the nearest tenth.

Therefore, it will take Sarah approximately 0.6 minutes or 34 seconds to inflate the balloon.

A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?

Answers

x + y = 4,000
0.1x + 0.04y = 352

Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought. 


It's C: x+y=4,000 and 0,1x+0.04y=352

jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?

Answers

Hello,

Since Jamal is only paying for 7/10 of the asking price, we can multiply it by 0.7.

0.7 x 18950 = 13265

Now, we have to add on the tax, so we should multiply the new amount by 1.065.

13265 x 1.065 = 14127.23

Jamal's bill will be $14,127.23

Good luck,
MrEQ

There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without returning the marbles back to the hat? (Write your answer as a fraction.)

Answers

Hi, I don't know if this is right but I would put 2/13 as the answer. This is because there are 13 marbles in total and 2 are orange. It's probably wrong, but that's what I think... 

Help needed please and thank you!

Answers

To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.

We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.

SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.

I hope this helps!

The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81

Answers

the answer would be c or (B) 0.81

The answer is C. Hope i helped.

Can someone please help me with 2,3,4

Answers

2. (3) - eye color is non-numerical (blue, green, gray, brown, and so on)

3. (2) - mean is the best measure, because the problem statement tells you that you want to compare "the average amount of time". You could argue that the median might more fairly represent a "typical" time spent exercising, but that is not what the question tells you to compare.

4. (4) 0.90. The data has a positive slope, so r > 0. It falls close to a line, so the correlation is closer to 1 than to 0.

what is this plzz need help for math homework it is very hard

Answers

For the total length of the five rods in terms of a is L = 15a.

The formula for the Total Length of Five Rods

Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:

First rod: a

Second rod: 2a

Third rod: 3a

Fourth rod: 4a

Fifth rod: 5a

Now, to find the total length (L), add up the lengths of all the rods:

L = a + 2a + 3a + 4a + 5a

Combine like terms:

L = (1 + 2 + 3 + 4 + 5) · a

The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:

L = 5 · 6/2 · a

Simplify the expression:

L = 15a

So, the formula for the total length L in terms of a is L = 15a.

The complete question is:

Here are five straight rods.

All measurements are in centimeters.

The total length of the five rods is L" " cm.

Find a formula for L in terms of a.

Write your formula as simply as possible.

rewrite using parentheses to make each statement true

a: 42 + 12 ÷ 6 = 9

b: 33 - 14 1/2 + 3 1/2 = 15

c: 32 ÷ 8 x 2 = 2

all i need to know is where parentheses go.

Answers

a. (42+12) 

b. (14 1/2 + 3 1/2)

c. (8 x 2)
A. (42 + 12) ÷ 6 = 9
B. 33 - (14 1/2 + 3 1/2) = 15
C.32 ÷ (8 X 2) = 2

The measures of the angles of triangle ABC are angle a 48 degrees angle B 6x - 28 angle C 2x what is the value of x

Answers

sum of interior angles of a triangle = 180

48 + 6x - 28 + 2x = 180
8x + 20 = 180
8x = 160
  x = 20

Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...

a(1)=
a(n)=

Answers

The recursive formula would be:
[tex]a_1=10 \\a_{n}=a_{n-1} \times (-8)[/tex]

This is because the first term, a₁, is 10.  A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio.  The common ratio, or the number that each term is multiplied by, is -8.

Answer:

The value is:

a(1)=10   and   a(n)=(-8)×a(n-1)

Step-by-step explanation:

We are given a sequence as:

10, -80 , 640 , -5120 ,.........

since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.

Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.

a(1)=10

Also a(n)=(-8)×a(n-1)

since a(1)=10

a(2)=(-8)×10=-80

a(3)=(-8)×(-80)=640

a(4)=(-8)×640=-5120

and so on.

Hence the answer is:

a(1)=10   and   a(n)=(-8)×a(n-1)

Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?

Answers

Honestly, this would depend how many miles they hiked all together. then you divide it by 3. Until you have the total amount, you don't get a correct answer. 

Answer:

3

Step-by-step explanation:

Please help asap!



Two angles are supplementary. If one angle measures 43 degrees, what is the measure of the second angle?
A. 47 degrees
B. 57 degrees
C. 137 degrees
D. 147 degrees

Answers

Answer:

147

Step-by-step explanation:

Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.

Answers

The answer is either 3+x=12 or 3x=12
The equation is p + 3 = 12

Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.

Answers

No.

0.5/0.125 = 4 . . . . . 1 dp divided by 3 dp

Answer:

NO. They do not have to be equal

Step-by-step explanation:

A whole number takes place when two conditions are satisfied:

1. The numerator or the dividend is greater than the divisor.

  For example, when you divide 0.1 by 0.002.

  The dividend 0.1 is greater than 0.002

2. The divisor is small than the dividend.

   This rule is the same as one above.

    for example:

   the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]

which numbers have exactly 2 factors

Answers

Prime numbers, I’m sure, have only two factors.
2 is 1 and 2
3 is 1 and 3

Solve for d.

13d + 4 = 43

A.3

B.13

C.39

D.None of the above

Answers

Answer is A
Because 43-4=39
39/13=3
A because 13 times 3 is 39 plus 4 is 43

Median; 1.5
Median; 3
Mean; 1.5
Mean; 3

Answers

When you graph it in a box and whisker plot, the box is skewed so you would do median/IQR
If it was symmetrical, you would do Man/Mean Absolute Deviation

Answer:

the median is the number in the middle the mean is the sum of all numbers and divided

Step-by-step explanation:

mean 1,2,3,4,5,6

1+2+3+4+5+6=21

21/6= 3.5 <- mean

Median 1,2,3,4,5,6

2,3,4,5

3,4

median 3.5

Which expression is equivalent to 12(2+3x−6) ?


3x−4

32x−5

3x−5

32x−2

Answers

Simplify: 12(2 + 3x - 6)
= (12)(2 + 3x + - 6) = (12)(2) + (12)(3x) + (12)( - 6)
= 24 + 36x - 72
Answer = 36x - 48



2: Factor: 

36x - 48 
= 12(3x -4)

Answer 
= 12(3x -4)



3: 12(2+3x−6)

= 12(3x + 2 - 6)

= 12(3x - 4)


Your Answer  would be (A).

3x - 4

Answer:

A. 3X-4

Step-by-step explanation:


Explain how to write a word problem to match the inequality d < 120. Demonstrate with an example.

Answers

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
You could accomplish this with a budget, like
D  is how much money you plan to spend, but you only have 120 dollars
Something like that

Answer:

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.

Step-by-step explanation:


PLEASE HELP ASAP!!!!!!!!!!!

A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 16. What is the probability of not rolling a 5? Enter your answer as a fraction, in simplest form, in the box.

Answers

I assume you mean that the probability of rolling a 5 is 1/6
Which means the probability of not rolling it is the opposite - 5/6
it should be 5/6 i hope this helps have a great day

Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²

Answers

⓵ To calculate the area of a parallelogram, the formula is base times height, just like the formula for the area of a rectangle! Why? Because if you look closely, every parallelogram can be made into a rectangle just by moving one of the triangle parts of it.

⓶ Now that we know that the formula to calculate the area of a parallelogram is :
A = b × h

You need to find the numbers to replace the base and the height in the formula!

We already know that the height is : 12 in.

So we are left with a formula looking like this :

A = b × 12 in.

⓷ Now we need to find the base! To do so, you need to add the height of the rectangle (which is 8 in.) to the height of one of the triangle (which is 16 in.) :

8 in. + 16 in. = b

↓

8 in. + 16 in. = 24 in.

↓

24 in. = b

So we are left with a formula looking like this:

A = 24 in. × 12 in.

⓸ All there’s left to do now, is calculate the area of the parallelogram using the formula :

A = 24 in. × 12 in.

↓

24 in. × 12 in. = 288 in.²

↓

A = 288 in.²

So your final answer is : the area of this parallelogram is ↠ 288 in.²

I really hope this helped, if there’s anything just let me know! ☻

288 would be your Answer hope this helps

A flagpole is 4meters tall how many centimeters tall is the flagpole

Answers

1 meter = 100 centimeters therefore,
4 meters = 400 centimeters

This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.

Answers

Answer:
y = 7

Explanation:
The first given equation is:
y = x² - 3x + 7 ...........> equation I
The second given equation is:
y = 3x - 2 ..............> equation II

Substitute with equation I in equation II and solve for x as follows:
y = 3x - 2
x² - 3x + 7 = 3x - 2
x² - 3x + 7 - 3x + 2 = 0
x² - 6x + 9 = 0
(x-3)² = 0
This means that:
x = 3

Now, substitute with the value of x in equation II to get the y as follows:
y = 3x - 2
y = 3(3) - 2
y = 7

Hope this helps :)


The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π

Blank 1: Diameter or radius

Blank 2: Divided or multiplied

Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP

Answers

blank 1= diameter
blank 2 =multiplied
blank 3=3.
Hope this helped!
Sorry  couldn't answer faster i didn't see this question.
Mark me as brainliest Please!!!

if 5 bags cost $255.35 how much would 2 bags cost

Answers

The answer would be $102.14 if you divide 255.35 by 5 then multiply it by 2, you'll get 102.14
255.35 divided by 5 = 51.07 x 2 = 102.14

Hope this helps! ;)

Answer:

yes 102.14

























Step-by-step explanation:


I really need the answer I’ve been stuck on this all day

Answers

the last option since u need to multiply 3 to the other side and divide everything else 

[tex]V = \frac{1}{3} lwh \\ 3V = lwh \\ w = \frac{3V}{lh} [/tex]

Those are the steps on how to answer your problem

r+3.2=6.1
What is the value of r? Show work

Answers

Hello,

The answer is 2.9.

Reason:

Solve this two ways:

1. You could be just regularly solving the question but subtracting 6.1 to 3.2.

6.1-3.2=2.9

2. Or you could be solving variable.

Subtract 3.2 on both sides:

6.1-3.2=2.9

r=2.9

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
The answer is r = 2.9

Brainliest pts pls

there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?

Answers

Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.

When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.

If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.


How many triangles exist with the given side lengths?

12 in, 15 in, 18 in
A.
No triangle exists with the given side lengths.

B.
More than one unique triangle exists with the given side lengths.

C.
Exactly one unique triangle exists with the given side lengths.

Answers

A. because they are all to diffrent in length to for one
Other Questions
Jake is confused about what a stressor is. how would you explain the term, based on the text?a. an external event or situation that places a physical or psychological demand on a personb. an internal psychological or physical responsec. an event or situation that is beyond a person's ability to coped. an item or person that irritates someone consistently can someone help!!!plz 1. A 10 g gold coin is heated from 25C to 50C (CAu is 0.13 J/g-C). What is the H?(Points : 1) +32.5 J 25 J +25 J - 32.5 JI know it is 32.5 J but is it negative or positive... I say it is negative, but I could be wrong..., Evan and Sam were playing basketball. Evan made 2/3 of his shots. Sam made 2/4 of his shots. Who made more shots? Explain m/18=24/15 how do I do this problem? Read this sentence.Second, there is the New York of the commuterthe city that is devoured by locusts each day and spat out each night.How does the figure of speech devoured by locusts each day and spat out each night affect the passage?A. It describes the way commuters use and abuse what the city has to offer.B. It describes that habits of an insect population that plagues New York.C. It compares the commuters behavior when they come to the city to that of insects.D. It compares the number of New York commuters to an insect invasion.__________________________________________________excerpt from Clarence Darrows closing argument in Illinois v. Nathan Leopold and Richard Loeb, August 2225, 1924They wanted a complete crime. There had been growing in this brain, dwarfed and twisted as every act in this case shows it was dwarfed and twisted, there had been growing this scheme, not due to any wickedness of Dickie Loeb, for he is a child. It grew as he grew; it grew from those around him; it grew from the lack of the proper training until it possessed him. He believed he could beat the police. He believed he could plan the perfect crime. He had thought of it and talked of it for years. Had talked of it as a child; had worked at it as a child, and this sorry act of his, utterly irrational and motiveless, a plan to commit a perfect crime which must contain kidnapping and there must be ransom, or else it could not be perfect, and they must get the money.How does the frequent use of repetition in this excerpt advance the author's viewpoint about Dickie Loeb, the criminal?A. It emphasizes that Loeb was doomed to be unsuccessful in committing the crime.B. It shows that Loeb, in the speaker's view, was a merciless killer.C. It demonstrates, in the speaker's view, that Loeb was foolishly obsessed with the crime.D. It implies that Loeb was a misguided person who couldn't help himself._________________________________________________Which quotation from the essay helps to create an affectionate tone in "Here is New York"?A. the man who lives in Mamaroneck or Little Neck or Teaneck, and works in New York, discovers nothing much about the city except the time of arrival and departure of trains and buses,B. There is, first, the New York of the man or woman who was born here, who takes the city for granted and accepts its size and its turbulence as natural and inevitable.C. . . . a drowsy afternoon in the great rustling oaken silence of the reading room of the Public Library, with the book elevator (like an old water wheel) spewing out books onto the trays.D. The Long Island Rail Road alone carried forty million commuters last year; but many of them were the same fellow retracing his steps._______________________________________________________Select the word from the drop-down menu that best suggests that the dog has been unable to find food. As the dog approached, I noticed that its hair hung in mats from its ________ frame. A. bonyB. slimC. narrowD. slight How can transposable elements promote functional genetic diversity in a population? Insertion into a regulatory sequence may alter the strength of transcription.Insertion into an intro may provide an alternative splice site, producing a protein with a new exon.Insertion into an mRNA strand may change the amino acid sequence produced., Please help asap!!! 13 points! Bottom trawling is considered destructive because _______.a.it destroys sea floor habitatsb.it depletes fish populationsc.it shatters deep-sea corald.all of the above What does " pero" mean in english? Jane is in a car accident and calls her mother immediately to inform her. when jane's mother answers the phone, she is confused about what is going on because jane is speaking so quickly. what aspect of paralanguage is making it difficult for jane's mom to understand what she is saying? The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in. A manager who wants to give his team the highest amount of autonomy should select _____. What is a business owned by a stockholder Please help with number 10 The smooth-grained version of granite is the rock ___________. Which rational number is one-half of the way between 2 and 6.5: 2.25, 4.25, 4.5, or 4.75? And please explain., Which sentence is the best example of using a historical approach to understand this artwork?The biblical subject matter of Marriage of the Virgin shows the importance of religion in Italian Renaissance culture.Raphael repeated shapes to create a sense of movement.Marriage of the Virgin is one of the best examples of Italian Renaissance painting.Check answers please? I chose first one Why are political speeches biased?because they try to get you to think, feel, or act in a particular waybecause they provide a lot of important informationbecause they are entertaining and, therefore, distractingbecause they never have enough supporting evidence Which calculation will give the total surface area of the solid figure? These are the answers that you can choose from.5 6 6 square inches6 5 5 square inches6 5 5 5 square inches5 6 6 6 square inches