Write the linear equation given two points (-6, 8) and (3, -7). *

Answers

Answer 1

[tex]\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{-15}{3+6}\implies \cfrac{-15}{9}\implies -\cfrac{5}{3}[/tex]

[tex]\bf \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}{8}=\stackrel{m}{-\cfrac{5}{3}}[x-\stackrel{x_1}{(-6)}]\implies y-8=-\cfrac{5}{3}(x+6) \\\\\\ y-8=-\cfrac{5}{3}x-10\implies y = -\cfrac{5}{3}x-2[/tex]

Answer 2

Answer:

[tex]m=\frac{-5}{3}[/tex]

Step-by-step explanation:

Step 1: Let's find the slope between your two points.

[tex](-6,8); (3,-7)\\\\(x_{1} ,y_{1} )=(-6,8)\\\\(x_{2} ,y_{2} )=(3,-7)[/tex]

Step 2: Use the slope formula

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\\\\=\frac{(-7) - 8}{3- (-6)} \\\\=\frac{-15}{9}\\\\= \frac{-5}{3}[/tex]

Therefore, the equation is [tex]\frac{-5}{3}[/tex]


Related Questions

What is subtracting fractions from mixed numbers for grade 4, work shert

Answers

Answer: Can't help ya if you don't show the sheet.

Step-by-step explanation:

What is the distance between (–2 and one-half, –3) and (1, –3)?

Answers

The answer is square root of 2

Answer: The distance between the points is 2 and 1/2 units.

Step-by-step explanation:

We want to calculate the distance between the points:

First, to calculate the difference between the vectors (a,b) and (c,d) we have:

(a, b) - (c, d) = (a -c, b - d)

(-2 + 1/2, -3) and (1, - 3)

First, we calculate the difference of the two ponts:

(-2 + 1/2, -3) - (1, - 3) = (-2 + 1/2 - 1. -3 - (-3)) = (-3 + 1/2, 0 )

now this is the distance vector, we can calculate the magnitude of the distance by calculating the magnitude of this vector, this is:

d = √((-3 +1/2)^2 + 0^2) = √(-3 + 1/2)^2 = (3 - 1/2) = 2 + 1/2


Will y’all help me on num 9!

Answers

Answer:

Option C, Ryder owed his mom $2.50.  He babysits his sister and makes $8.75

Step-by-step explanation:

Since it starts at 0 and goes to -2.5, that means that he owes $2.50

Since it goes from -2.5 to 6.25, that means that he ears $8.75

Answer:  Option C, Ryder owed his mom $2.50.  He babysits his sister and makes $8.75

It takes Jill 2 hours to run 14.5 miles, At this rate, how far could she run in 3 hours? Btw, I am giving a lot of points if you get it correct!

Answers

Answer:

21.75

Step-by-step explanation:

To find how long she can run in a single mile, divide 14.5 by 2, giving you 7.25. If she runs three of those, (3 times 7.25), she runs 21.75 miles.

Answer: 21.75miles

Step-by-step explanation:

Let the number of miles for 3 hours be represented as x

If 2 hours = 14.5 miles

Then, 3 hours = x

We Cross multiply

2x = 14.5 × 3

2x = 43.5

Divide both sides by 2

x = 43.5/2

x = 21.75

In 3 hours, Jill will be able to run 21.75miles. I hope this helps.

he solid shown has two square faces and four rectangular faces. A plane intersects the solid at vertices R, S, T, and U. What is the shape of this plane?

A. square

B. rectangle
C. right triangle
D. scalene triangle

Answers

I think the answer is D.

Answer:

hi idiot its b

not d

Step-by-step explanation:

choose yes or no for each question will mark brainlist :) !!

Answers

Answer:

1. No

2. Yes

3. No

4. Yes

Step-by-step explanation:

Hope this helped!

Mike, Chris, and John decided to go running. Mike can run 4 miles per hour, Chris
can run 6 miles per hour, and John can run 5 miles per hour. Mike ran for 1 hour
and 45 minutes, Chris ran 70 minutes, and John ran for 90 minutes. What was
the total amount of miles that they combined to run?

1. 25.5 miles
2. 25 miles
3. 21 miles
4. 21.5 miles
5. 22.5 miles

Answers

Answer:

21.5 miles total

Step-by-step explanation:

First, identify what you know:

1) Mike can run 4 mph, and runs a total of 1 hour, and 45 minutes (105 min)

2) Chris can run 6 mph, and runs a total of 70 minutes.

3) John can run 5 mph, and runs a total of 1 hour, and 30 minutes (90 min)

We need to calculate how many miles each person ran, and then add the miles ran, to find the total!

Mike: 1 hour and 45 minutes it equal to 1.75! So, in one hour, Mike ran 4 miles. He ran 3/4 of 4 mph, in 3/4 of an hour! Thus, Mike ran 7 miles. Simply multiply 1.75 by 4, to get 7 mph.

Chris: Chris ran 6 mph for 70 minutes. 6 mph, means that Chris can run one mile per every ten minutes! In 70 minutes, he'll have run 7 miles.

John: If john ran 90 minutes, that means he ran 1.5 hours! Simply multiply 1.5 by 5 mph, to get 7.5 miles!

Now, all we need to do, is add the totals!

7 + 7 + 7.5 = 21.5

In total, Mike, Chris, and John ran 21.5 miles!

Hope this helps! :)

The total amount of miles they ran was 21.5 miles

help plz
4/5 n =2/3 . n = ___?

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5}[/tex] n = [tex]\frac{2}{3}[/tex]

First you must divide both sides by [tex]\frac{4}{5}[/tex] which gives you:

[tex]\frac{\frac{2}{3} }{\frac{4}{5} }[/tex]

Now you must multiple the numerator by the reciprocal of the denominator:

[tex]\frac{2}{3}[/tex] * [tex]\frac{5}{4}[/tex]  =  [tex]\frac{10}{12}[/tex]  =  [tex]\frac{5}{6}[/tex]

Solve (x + 5 < 4) ∩ (x - 3 > -6)

Answers

Answer:

∅ i.e empty

Step-by-step explanation:

(x + 5 < 4) ∩ (x - 3 > -6)

Let A represent the set (x + 5 < 4)

Let B represent the set (x - 3 > -6)

For set A:

x + 5 < 4

subtract 5 from both side

x < 4 —5

x < —9

Possible values of x are - 10, - 11, - 12,...

A = {- 10, - 11, - 12,...}

For set B:

x - 3 > -6

Add 3 to both side

x > -6 + 3

x > - 3

Possible values of x are - 2, - 1, 0,...

B = {- 2, - 1, 0,...}

A= {- 10, - 11, - 12,...}

A ∩ B = ∅ i.e empty

Therefore, (x + 5 < 4) ∩ (x - 3 > -6) is ∅ i.e empty

Can I get help please ?

Answers

Answer:

8

Step-by-step explanation:

1) let’s take the original number as “x”

So

3x=28-0.5x

Lol don’t worry I’ll show you how I got that

So it says 3 times a number. That tells me my number, X is multiplied by 3 so I have

3x so far

Next it says “is equal to”, this tells me my number 3x is equal to something so I have this now:

3x=

After that it says “half of a number” so I know I will have 0.5x subtracted from 28. Since it says subtracted from 28 that means my number will be subtracted from 28, not the other way around so

3x=28-0.5X

Now I can solve this by bringing “-0.5” to the left.

3x+0.5x=28

3.5x=28

Divide both sides by 3.5 and

X=8

What is the area, in square units, of the parallelogram shown below?

A parallelogram ABCD is shown with height of 10 units and base 6 units
(1 point)


30 square units

60 square units

80 square units

90 square units

Answers

Option B:

Area of the parallelogram = 60 square units

Solution:

Given ABCD is a parallelogram.

Height of the parallelogram = 10 units

Base of the parallelogram = 6 units

To find the area of the parallelogram:

Area of the parallelogram = Base × Height

                                           = 6 × 10

                                           = 60

Area of the parallelogram = 60 square units

Hence option B is the correct answer.

Answer:

B. 60 Square Units

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

Kendra lives 10 Km from the northern tip of swan lake and 6 Km from the southern tip of swan lake. What is the north - south distance across swan lake?​

Answers

Answer:

The north - south distance across swan lake is 8 km

Step-by-step explanation:

Look to the attached figure

Kendra's house and the distances between it and the North tip, southern tip of swan lake formed a right Δ

∵ Kendra lives 10 Km from the northern tip of swan lake

- That means the length of the hypotenuse of the right Δ is 10

∴ The hypotenuse of the right Δ = 10

∵ Kendra lives 6 Km from the southern tip of swan lake

- That means the length of the horizontal leg of the right Δ is 6

∴ The horizontal leg = 6

- By using Pythagoras Theorem

∵ (hypotenuse)² = (H.leg)² + (V.leg)²

∴ (10)² = (6)² + (x)²

∴ 100 = 36 + x²

- Subtract 36 from both sides

∴ 64 = x²

- Take √  for both sides

∴ 8 = x

∴ The vertical leg of the right triangle = 8

∵ x represents the north-south distance across swan lake

The north - south distance across swan lake is 8 km

Choose the precise measurements 5.8mm or 6.4 m

Answers

Answer:

The more precise measurement is 5.8mm

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

Ronaldo is carving a sculpture is made up of two figures, a rectangular prism and a square prism

Answers

Answer:

84 cubic

Step-by-step explanation:

Answer:

Step-by-step explanation: 361 1/2

Jen's garden is 4 feet wide and gas ab area of 28 square feet. What is the length of Jne's garden? how do you know

Answers

Answer:

The Length is 7

Step-by-step explanation:

If Jen has a garden with a total area of 28 square feet and it is 4 feet wide to find the length you will divide the total area with the width. This should give you the length of the Garden which is 7. To double check your answer you can multiply the width with the length to get the total area of 28 square feet.

Final answer:

The length of Jen's garden is 7 feet, calculated by dividing the area of 28 square feet by the width of 4 feet.

Explanation:

To find the length of Jen's garden, we need to use the information about the garden's area and width. The area of a rectangle (which is the shape we can assume the garden is) is calculated by multiplying the length by the width. Given that Jen's garden has an area of 28 square feet and a width of 4 feet, we can set up the following equation:

Area = Length × Width
28 square feet = Length × 4 feet

To solve for the length, divide both sides of the equation by 4 feet:

Length = 28 square feet / 4 feet
Length = 7 feet

Therefore, the length of Jen's garden is 7 feet. This is how we determine the dimensions of a garden plot by using multiples of length and width. To actually measure the garden, one would use a measuring tape.


A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table:


Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 g(x) = x2 + 11 12 15 20
Product 2 h(x) = 4x 4 16 64


Based on the data in the table, for which product does the price eventually exceed all others, and why?
Product 1, because it has a greater start value
Product 1, because the function is exponential
Product 2, because it has a higher Year 3 value
Product 2, because the function is exponential

Answers

Answer: I believe the answer is D) Product 2, because the function is exponential!!!!!!!

From the question that we have the period that would have the price that would exceed others would be Product 2, because the function is exponential.

What is an exponential function?

This is the type of function that is raised to a power of a constant. An exponential function is of the type f ( x ) = a^x.

x is a variable in the function while a is referred to as the constant of the equation.

Read more on exponential equation here:

https://brainly.com/question/2456547

#SPJ2

In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them play baseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

  10/13 ≈ 76.9%

Step-by-step explanation:

P(A∪B) = P(A) +P(B) -P(A∩B)

P(plays basketball ∪ plays baseball)

   = P(plays basketball) +P(plays baseball) -P(plays both)

P(plays basketball ∪ plays baseball) = 16/26 +9/26 -5/26 = 20/26 = 10/13

P(plays basketball or baseball) = 10/13 ≈ 76.9%

Answer:

The answer is 11 percent.

Translate this sentence into an equation. 153 is the product of Greg’s score and 9. Use the variable g to represent Greg’s score

Answers

Answer:

9g = 153

Step-by-step explanation:

Product means multiplication.

"the product of Greg’s score and 9" translates to 9g

"is" means "is equal to"

9g = 153

PLS HELP HURRY!!Its ten points​

Answers

Answer:

12in long and 10in wide

Step-by-step explanation:

If he were to trim the edges of the photographs to [tex]12\frac{1}{2}[/tex] and [tex]10\frac{1}{2}[/tex], the edges of the photographs from Russ's vacation would be too long and wide to fit inside of the photo album.

If you convert the fractions into decimals, you can easily discern that the vacation photos would be too large to fit inside of the photo album.

Photo Album:

[tex]12\frac{1}{8}[/tex] = 12.1 inches •Original

[tex]10\frac{1}{8}[/tex] = 10.1 inches •Original

• Too large:

[tex]12\frac{1}{2}[/tex] = 12.5 inches > 12.1 - 12.5 = -0.4 •Too large

[tex]10\frac{1}{2}[/tex] = 10.5 inches > 10.1 - 10.5 = -0.4 •Too large

• Just right:

10 = 10 inches > 10.1 - 10 = 0.1 •Space left

12 = 12 inches > 12.1 - 12 = 0.1 •Space left

A construction company built bleachers that can hold a 149,227 pounds. How many 169-pound people can the bleachers hold?

Answers

Answer: 883 people

Step-by-step explanation: If the bleachers can hold 149,227 pounds and each person weighs 169 pounds, then you would do 149,227 divided by 169 to get 883.

149,227 ÷ 169 = 883

Answer:

883 people

Step-by-step explanation:

This is a division problem.

(149,227 lb)/(169 lb) = 883

Answer: 883 people.

How many times can 1/6 go into 4

Answers

Final answer:

To determine how many times 1/6 can be contained in 4, we multiply 4 by the reciprocal of 1/6, which is 6. The answer is 24.

Explanation:

To find out how many times 1/6 can go into 4, we need to perform a division operation. We are essentially asking how many sixths are there in 4 wholes. This can be written as a division expression:

4 ÷ (1/6)

To divide by a fraction, you multiply by its reciprocal. For the fraction 1/6, the reciprocal is 6, so you multiply 4 by 6 to find the answer:

4 × 6 = 24

Therefore, 1/6 can go into 4 a total of 24 times.

1. Find the next term in the sequence.
9, 15, 21, 27,..

Answers

It’s would be 33 that the next sequence

Answer:

33

Step-by-step explanation:

9+6=15

15+6=21

21+6=27

27+6=33

33

(-45-24v^2+v^4-22v-6v^3)/(v-9)

Answers

Answer:

If my 15 year old brain has functioned correctly, the answer is v^3+3v^2+3v+5

Step-by-step explanation:

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 57 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 61 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 67 degrees. The interior angle on the left is labeled as x. 35° 47° 51° 62°

Answers

Answer:

Step-by-step explanation:

35° 47° 51° 62° isnt that of a pickelll to fry you need 79 into the mix your welcome :D

Pyramids A and B are similar. Pyramid A has a height of 8 in., and Pyramid B has a height of 24 in. Pyramid A has a volume of 384 in3. What is the volume of pyramid B?

Answers

Answer:142

Step-by-step explanation:no

Final answer:

The volume of Pyramid B can be calculated by using the ratio of the heights of the similar pyramids, cubed. As the height of Pyramid B is 3 times the height of Pyramid A, its volume is 27 times greater. Thus, Pyramid B has a volume of 10368 cubic inches.

Explanation:

Calculating the Volume of Similar Pyramids

To solve this problem, we can use the properties of similar figures. When two pyramids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding linear dimensions. In this case, Pyramid A has a height of 8 inches and a volume of 384 cubic inches. Pyramid B is similar to Pyramid A but has a height of 24 inches, which is 3 times the height of Pyramid A (since 24 in. / 8 in. = 3).

Since the pyramids are similar, the ratio of their volumes will be the cube of the ratio of their heights (in this case, 33 or 27). Therefore, the volume of Pyramid B will be 27 times greater than the volume of Pyramid A.

To find the volume of Pyramid B, we simply multiply the volume of Pyramid A by this ratio:

Volume of Pyramid B = Volume of Pyramid A × (ratio of heights)3Volume of Pyramid B = 384 [tex]in^3[/tex] × 27Volume of Pyramid B = 10368 [tex]in^3[/tex]

Thus, the volume of Pyramid B is 10368 cubic inches.


Which of the following statements about a linear function is never true?
A. The graph of a linear function is a straight line.
B. Two ordered pairs that have the same x-coordinates but different y-coordinates determine a linear function.
C. Every linear function has a corresponding equation.
D. The slope between any two points on the line that is the graph of a linear function is constant.

Answers

Answer:

the answer is B

Step-by-step explanation:

you cant have the same x coordinate and it be a linear function

It is impossible that two ordered pairs can form a linear function. (Correct choice: B)

How to analyze linear functions

Linear functions are first order polynomials which graph is a straight line and whose slope is constant for every ordered pair. The domain and range of linear functions represent all real numbers, indicating a continuous nature within the function.

Hence, a linear function is only formed by infinite set of points. Hence, it is impossible that two ordered pairs can form a linear function. (Correct choice: B) [tex]\blacksquare[/tex]

To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/17058347

Maggie creates the fraction models shown to find the value of 1 3/4 divided by 2/3

Answers

Answer: where is them model

Step-by-step explanation:

Ana bought a 15.5-pound turkey at the grocery
store this month. The equation p-15.5 = 2.5
gives the weight p, in pounds, of the turkey
she bought last month. What is the solution
of the equation?

Answers

Answer:

18

Step-by-step explanation:

What is the LCM of 12 46

Answers

Answer:

To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:  

12:    

2

2

3

 

46:    

2

 

 

23

LCM:    

2

2

3

23

The Least Common Multiple (LCM) is:   2 x 2 x 3 x 23 = 276

Step-by-step explanation:

Step-by-step explanation:

12=1× 2×2×3

46=1×2×23

LCM=1×2×2×3×23

= 276

Susan finds 2 pints 1 cup of water evaporated from the class aquarium. How many pints of water are left in the aquarium?

Answers

Answer:  1.5 US PINTS

Step-by-step explanation:

Brainliest plz

Answer: 1.5 pints

Step-by-step explanation:

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