write an equation of the line in slope-intercept form: A(-1,3) and b(2,-1)

Answers

Answer 1

Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

    First we will find the slope, then we will find the y-intercept.

    Slope is change in y over change in x:

[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]

    Now we will solve for the y-intercept:

y = [tex]\frac{-4}{3}[/tex]x + b

(-1) = [tex]\frac{-4}{3}[/tex](2) + b

-1 = [tex]\frac{-8}{3}[/tex] + b

[tex]\frac{5}{3}[/tex] = b

b = [tex]\frac{5}{3}[/tex]

    Final equation:

y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]


Related Questions

(3x10^-4)(5x10^8) in scientific notation

Answers

Answer:

[tex]15 \times {10}^{4} [/tex]

Step-by-step explanation:

[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Answers

A, B and C working together will finish same piece of work in 10 days

A can do a piece of work in 20 days. That is A is doing the work at a rate of  1 / 20. Therefore

B = 1 / 30

C = 1 / 60

A, B and C working togehter their rate will be added together =

A + B + C =  1 / 20 + 1 / 30 + 1 / 60 = 1 / 10

so they can work together to finish same piece of work in 10 days

10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA


A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp

Answers

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]

we need to find the square root of 18.75 to find the height of the triangle which is

[tex] \sqrt{18.75} = 4.330127019[/tex]

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

Part 1 , i really need help if anyone have the items for these please help

Answers


That’s should help you with that!!

Find the square root of 2937.44 by the arithmetic method

Answers

The square root of 2937.44 by the arithmetic method is 54.20.

What is the square root of the number?

The square root of a number can be described as the value derived when a number is divided into two equal halves. The square root of 64 is 8. This is because 8 multiplied by 8 is equal to 64. The sign used to represent square root is √.

√2937.44 = 54.20

To learn more about how to calculate square root, please check: https://brainly.com/question/8085738

Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.

The reasoning in the passage is vulnerable to criticism on the grounds that:

A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not

Answers

The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).

What is the reasoning behind this text?

The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.

What is the problem with this reasoning?

The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.

Learn more about reasoning in: https://brainly.com/question/11478756

Please help. I need to get to 70%

Answers

Scale factor is 5

So

J'=5(1,-2)=(5,-10)K'=5(2,-1)=(10,-5)M'=5(0,-1)=(0,-5)L'=5(1,2)=(5,10)

Answer:

Points of kite JKLM:

J = (1, -2)

K = (2, -1)

L = (1, 2)

M = (0, -1)

To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.

So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite.  Extend the lines so that they are each 5 times the original lengths.  These are the dilated points

Points of kite dilated by sf 5 (shown in blue on the attached diagram):

J' = (5, -10)

K' = (10, -5)

L' = (5, 10)

M' = (0, -5)

12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.

Answers

The answer to this question is in the picture which is 0.56% to 2dp

Answer:

5.60%

Step-by-step explanation:

We can use the formula for simple interest to solve this problem. The formula is:

[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]

Where:

SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in years

If $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:

[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]

In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:

[tex]1177.12=\frac{4204*5*r}{100}[/tex]

Doing Criss cross multiplication

[tex]r=\frac{1177.12*100}{4204*5}[/tex]

r=5.60 %

To two decimal places, the interest rate r is 5.60 %.

help help help help can u show some work its due tomorrow

Answers

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.




The slope is m =
The y−intercept is b =

Answers

The slope is m = 3.5; and the y-intercept is b = -6

Determining slope and y-intercept of a Line

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589

Please help with this guys please I’d appreciate it

Answers

Answer:

annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52

Step-by-step explanation:

The amount of an investment P compounded n times per year at annual rate r for t years is ...

  A = P(1 +r/n)^(nt)

This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.

__

Continuously compounded interest results in an account balance computed using the formula ...

  A = Pe^(rt) . . . . where the variables have the same definitions as above.

For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...

  A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars

A company paid ​$203.00 for an item. The original price was​ $291.10​, but this was marked down 40​%. If the operating expenses are 36​% of the​ cost, find the operating loss and the absolute loss.

1. What is the operating loss?
2. What is the absolute loss?

Answers

Answer,:

Answer and Explanation: 1

1.

Calculation for operating loss is shown below:

Break-even point in dollars = Cost + Operating expenses

Break-even point in dollars = $208.40 + (36% * $208.40)

Break-even point in dollars = $208.40 + $ 75.024

Break-even point in dollars = $283.424

Reduced price = Original price - (Original price * Mark down)

Reduced price = $292.60 - ($292.60 * 40%)

Reduced price = $292.60 - $117.04

Reduced price = $175.56

Operating loss = Break-even point in dollars - Reduced price

Operating loss = $283.424 - $175.56

Operating loss = $107.864

2.

Calculation of absolute loss is shown below:

Absolute loss = Cost - Reduced price

Absolute loss = $208.40 - $175.56

Absolute loss = $32.84

brain less plss

THIS ANSWER IS CORRECT

Please answer soon!
What is the median number of repairs per vehicle as shown in the box plot below?

Answers

Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?

Answers

Answer:

15.85

Explanation:

Po = D1 / (k-g)

Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate

Po = (5.10 (1-0.13)) / (0.15-(-0.13))

Po= 15.85

What would the answer be ?

Answers

Answer: 7

Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7

Answer:   3

See the diagram below.

The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.

Find the solutions to the equation below.

Check all that apply.

x^2 - 25 = 0

A. x = 1

B. x = 5

C. x = -1

D. x = -5

E. x = 3

F. x = -3

Answers

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

for a standard distribution, which of the following variables always equals 0?

Answers

Second option I believe

Please help!

Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper?

Answers

If 2 things sell for 4 dollars, we divide the money by the number of things to get how much money per thing.

So, 10/5 = 2

The things will cost $2 each.

Same thing.

If 100 rolls cost $11.68, then

11.68 divided by 100 will give us the price per roll.

11.68/100 = 0.1168

Each roll will cost 0.1168 dollars.

) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:

n=20, x¯¯¯=63.8, s=2.84
≤μ≤

Answers

Answer:

ask MisterBrainly for help

I am confused can somebody help me
F ( - 5 ) =

Answers

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]

Answers

Answer:

The probability is 1/9

Step-by-step explanation:

1 - 8/9 = 1/9

What I Know Write each as they would appear on a 24-hour digital clock. Morning Afternoon 1. Five minutes pass 8 2. Quarter of 12. 3. Six minutes to 10 4. Twenty minutes past 1 5. Twenty-five minutes to 9 6. Ten minutes to 3 7. Eighteen minutes pass 5 8. Fourteen minutes to 7 9. Half pass 1 10. Twelve minutes past 12​

Answers

Step-by-step explanation:

1. 8:05

2. 12:45

3. 10:54

4. 1:20

5. 8:35

6. 2:50

7. 5:18

8. 7:44

9. 1:30

10. .12:12

Write an equation of the line that passes through (3, 1) and (0,10) .

y=

Answers

Answer:

Step-by-step explanation:

hello :

y = -3x+10

Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²



Urgent please help

Answers

It has to be a15 26 I don’t know tho

A scale drawing of an American flag is 6 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?

Answers

That would be 12 in a half?

A rectangle is 4 ft long and 2 ft wide. find its area in square inches.​

Answers

[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]

Find the interquartile range. 44, 75, 62, 41, 59, 60, 79, 44, 49​

Answers

Answer:

24.5 is our interquartile range

Step-by-step explanation:

First, you need to order the data set from least to greatest:

41, 44, 44, 49, 59, 60, 62, 75, 79

We have a total of 9 numbers in the data set.  

**Note: Our minimum is 41 and our maximum is 79, this is important**

Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.


Our median is the middle number which is 59.

**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**

Our data set without the median:

Data set 1: 41, 44, 44, 49

Data set 2: 60, 62, 75, 79

Now find the median of data sets 1 and 2.

Data set 1: 44+44/2 -> 88/2 =44

Data set 2: 62+75/2  -> 137/2 = 68.5

Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.

68.5 - 44 = 24.5

24.5 is our interquartile range

PLEASE ANSWER ASAP WILL GIVE brainliest TO THE FIRST CORRECT ANSWER

You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answers

Answer:

I would reccomend the first option the path costs $6 per foot

HELP ME!!!! please....

Answers

The correct answer is A i believe :)

Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??

Answers

Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Other Questions
What was unusual about the king of england, kaiser of germany, and tsar of russia?. Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5). 5 What is the perimeter? use 3,14(4pts.)for pi.bunIlinWhat is the total area? use 3.14 for pi.Show ur work 30 points Explain the physiological concepts associated with integumentary system? In the sequence of events in a morality tale, which event happens first? conflict decision climax moral Is it .. who are you doing this with.. or who you doing this with? How many ways can you place the letters in the word "PASTURE" into groups of four letters without repetition? What happens to a vertical line if you rotate it 90 degrees clockwise? List one positive time in van Goghs life and one negative time 4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is acorrect step when using this method?A. (x - 3)^2 = 6B. (x - 3)^2 = -6C. (x - 3)^2 = 3D. (x - 3)^2 = -3Pls help What are the three major characteristics of Grants battle plans Which of the following are essential components of every ASL sentence? A. time and topic B. time and comment C. topic and comment D. time, topic, and comment Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary. He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up. Which of these strategies will accomplish his intended design?Choose 1 answer:Choose 1 answer:(Choice A)ARandomly select one of the first 202020 words and every 20^\text{th}20 th20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample. (Choice B)BRandomly select one of the first 200200200 words and every 200^\text{th}200 th200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample. (Choice C)CRandomly select 232323 words from each chapter. (Choice D)DRandomly select 111 word from each page. (Choice E)EAssign every word a number and use a computer to randomly select 500500500 numbers with no repeats Why is glass a good insulator?(1 point) What is the sum of the solutions to the equation below? 8x^2 + 2x - 3 = 0A) 3/8 B) 1/4 C) -1/4 D - 3/8 Good people can y'all help me do this activity For Part 1 of the activity: 1. Look around you. Talk to your friends and family. Talk to other people in your network. Keep an eye on the local news. Search on the internet. Do you observe any common problem that many of these people are facing? That just can be your business opportunity! 2. But before you jump ahead and start looking at this problem as your business opportunity, you need to first think whether you have any idea on how to solve the particular problem. You also need to find out whether the people facing this problem are even keen on a solution they have to pay for. 3. As a tip, remember that your potential customers should feel that the problem that they are facing is an acute one and their life is affected because of it...... pls help on math pla A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points) help please and ty lol Landry is going to wrap a birthday present for his mom. He needs to know how much wrapping paper he needs to wrap the present with no overlap.volumeorsurface area