Write an equation of each line that passes through the following points in slope-intercept form:
M (5, 5) and N (–10, –19)


Help me Please!!!!!

Answers

Answer 1

Answer:

[tex]\large\boxed{y=\dfrac{8}{5}x-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points M(5, 5) and N(-10, -19). Substitute:

[tex]m=\dfrac{-19-5}{-10-5}=\dfrac{-24}{-15}=\dfrac{8}{5}[/tex]

We have the equation:

[tex]y=\dfrac{8}{5}x+b[/tex]

Put the coordinates of the point M to the equation:

[tex]5=\dfrac{8}{5}(5)+b[/tex]

[tex]5=8+b[/tex]        subtract 8 from both sides

[tex]-3=b\to b=-3[/tex]

Finally we have the equation:

[tex]y=\dfrac{8}{5}x-3[/tex]


Related Questions

H/6-1=-3 solve for H

Answers

Add 1 to both sides

h/6 = -3 + 1

Simplify -3 + 1 to -2

h/6 = -2

Multiply both sides by 6

h = -2 * 6

Simplify 2 * 6 to 12

h = -12

please help! ASAPPP! ❤️❤️❤️❤️❤️

Answers

80,000,000 in scientific notation would look like this...

8 x 10^7

It’s as simple as that. Let me know if you need any more help understanding!

Answer: 8×10^7

explanation: when doing scientific notation, you want the number(8) to be less than 10 so you would move the decimal left 7 places so it becomes 8.0000000, and then you would take 8 and put it in the equation so it's 8×10^7

Please help!!! Suppose a new student starts school today and your teacher asks you to teach her how to find decimal equivalents for fractions. What would you tell her? How would you convince the student that your method works?

Answers

Everyone has there own style.

1. Wouldn't they know how to do it already?

If not...

2. Is there a calculator available? If there is just tell them to divide the numerator by the denominator.

If not...

3. You'll have to use long division and get the answers.

Hope this helps, cheers.

Sandy mixed 9 ml of an acidic solution with 8 ml of a 42% acidic solution, to make a 45% acidic solution. Find the percent acid concentration of the first solution.

Answers

Answer:

47.67%

Step-by-step explanation:

Amount of 1st solution = 9 ml

Let the percentage acid concentration of 1st solution is x%

Amount of 2nd solution = 8 ml

Percentage acid concentration of 2nd solution = 42%

Percentage acid concentration of the mixture = 45%

Amount of the mixture = 8 + 9 = 17 ml

1st Solution + 2nd Solution = Mixture

x% of 9 ml + 42% of 8 ml = 45% of 17 ml

[tex]0.09x + 3.36 = 7.65\\\\ 0.09x = 7.65 - 3.36\\\\ 0.09x = 4.29\\\\ x = \frac{4.29}{0.09}\\\\ x = 47.67[/tex]

Thus, the percent acid concentration of first solution is 47.67%

A recipe calls for of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?

Answers

Answer: 6 cups of milk

Step-by-step explanation:

1 cup =10 cookies

60 cookies divided 10 cookies= 6cups

What is 40% of 120?

Answers

Answer:

39% of 120 = ? ... 41% of 120 = ?  

1% of 120 = ?

40% × 120 =

(40 ÷ 100) × 120 =

(40 × 120) ÷ 100 =

4,800 ÷ 100 =

48

Answer:

48

Step-by-step explanation:

Andy painted his house he used 1/4 of his paint to paint 5 walls how much paint did he use on the walls if he used the same amount of paint on each wall

Answers

Answer:

1/20 or 0.05 on each wall

Step-by-step explanation:

Answer:

1/20! 1/4 divided by 5 is 1/20.

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST For the expression 6 − y + 3, determine the coefficient for the variable term


−1


0


3


6


What is the value of 4 + 5x when x = 3? =


11


12


17


19

Answers

1. The answer would be -1 because the variable term is -y which can also be written as -1y and the coefficient is the number before the variable.

2. The answer would be 19. If you plug 3 into the equation for x you would get 4 + 5(3). Five times three is 15, and 15 plus 4 is 19.

the area of a square garden is 1/36 mi 2 how long is each side

Answers

Answer:

1/6 meters

Step-by-step explanation:

Let the side length be x.

Then the area of the square = x^2

∴ x^2 = 1/36

√(x^2) = √(1^2 / 6^2)

x        = 1/6

Therefore, the side length is 1/6 meters.

Hope it helped you!!!

George's dog has a mass of 6 kg what is the mass of the dog in grams​

Answers

Answer: 6000, you simply multiply the mass by 1000

Please come answer ASAP!!!
5 - n divided by 3 = 4 what is the value of n?

Answers

Hey there!

The equation we have been given is 5 - n/3 = -4.

Let's start by subtracting 5 from each side.

-n/3 = -9

Multiply each side by 3.

-n = -27

Multiply each side by -1.

n = 27

Check our answer.

5 - 27/3 = -4

5 - 9 = -4

-4 = -4

The value of n is 27.

Hope this helps!

The figure shows two intersecting lines and the measures of the resulting angles.





What is the value of y?

Answers

Answer:

y= 114

Step-by-step explanation:

1) (4x+ 2x- 12+ 20)=180

First find x (22)

2) (2x+20)+y=180

Plug in x

3) y=114

Final answer:

The values of x and y are 16 and 124 respectively when the angles (4x - 12) and (2x + 20) are vertically opposite and one of these angles forms a linear pair with angle y.

Explanation:

The subject of this question is mathematics, focusing on geometry and algebra. Vertically opposite angles are equal. Hence, (4x-12) = (2x+20). Solving for x, we get x = 16.

Also, it is mentioned that one of the angles forms a linear pair with angle y. A linear pair means that the two angles add up to 180 degrees. So, y + (2x+20) = 180. Substituting x = 16 in this equation and solving for y, we find that y = 124.

Learn more about Vertically opposite angles here:

https://brainly.com/question/30195817

#SPJ2

What must be added to x^2+20x to complete the square

Answers

Answer:

(x+10)^2-100

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term to complete the square. Hope this helps :)

3 plus two times blank equals 17 what is the blank?

Answers

first 17-3

2×__=14

now divide by 2

__=7

check

3+2×7=17

3+14=17

17=17

A company produces items in small batches. The machinery needs to warm up before the items can be produced. The scatterplot show the time needed to produce batches of different number of items.

Answers

Answer:

C.

Step-by-step explanation:

The answer is C since the y intercept is 20.

Answer:

Statement C is true.

Step-by-step explanation:

In this question we will go through each statement.

(A). The equipment starts producing items after about 25 minutes of warning up -  False

Because machine takes 20 minutes to produce the items.

(B). Each item requires about 12 minutes of production time - False

(C). The equipment starts producing items after about 20 minutes of warming up - True

(D) Each item requires about 3 minutes of production time. - False

Last summer bills lawn mowing service made a $4,500 profit. This summer his profit was $5,220. What percent increase was this?

20 points
Will mark brainliest
Show work

Answers

Answer:

The percent increase was [tex]16\%[/tex]

Step-by-step explanation:

we know that

Using proportion

Let

x------> the percent increase

[tex]\frac{100\%}{\$4,500}=\frac{x\%}{\$5,220-\$4,500} \\ \\x= 720*100\%/4,500\\ \\x=16\%[/tex]

The profit from Bill's lawn mowing service increased from $4,500 to $5,220, which is a 16 percent increase.

To calculate the percent increase in Bill's lawn mowing service profit, we would subtract the original profit from the new profit and then divide by the original profit. Finally, we multiply by 100 to get the percentage.

Original Profit = $4,500
New Profit = $5,220
Profit Increase = New Profit - Original Profit = $5,220 - $4,500 = $720

Percent Increase = (Profit Increase / Original Profit) x 100
Percent Increase = [tex]\frac{720}{4500}[/tex] x 100
Percent Increase = 0.16 x 100
Percent Increase = 16%

Therefore, the profit increased by 16 percent.

What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6

Answers

Answer:

multiply by 4.5 to get x = 27

Step-by-step explanation:

Both sides should be multiplied by 4.5

x / 4.5 = 6

x = 27

Answer:

what she said cuz she was right  but the answer on oddsy ware is 4.5

Step-by-step explanation:

Multiply: (−4x + 3)(−2x2 − 8x + 2) A) 8x3 − 26x2 − 32x + 6 B) 8x3 + 38x2 + 32x + 6 C) 8x3 + 26x2 − 32x + 6 D) 8x3 − 38x2 + 16x + 6

Answers

Answer:

Your answer is 8x3 + 26x2 − 32x + 6

So it's (c)

Answer: A) 8 x 3 + 26 x 2 − 32 x + 6

Step-by-step explanation:

Please help with function homework.

Answers

The maximum height occurs at the vertex found using t = -b/2a

The time = t=-20/2*-5 = -20/-10 = 2 seconds.

Now replace t with 2 in the equation to solve for the height:

h(t) = -5t^2 +20t +1

h(2) = -5(2)^2 +20(2) +1

h(2) = -5(4) + 40 + 1

h(2) = -20 + 41

h(2) = 21 meters.

Maximum height was 21 meters at 2 seconds.

Which is a measure of the efficiency of an investment? A. return rate B. return on investment C. efficiency coefficient

Answers

Answer:

[tex]\bold{Return \ Of \ Investment}[/tex]

Step-by-step explanation:

Return Of Investment: The performance used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.

       It is a performance level used to compare the efficiency of one investment or more to several or just one more investments. They also evaluate the efficiency of one investment.

Return Of Investment (ROI) is very popular because it is simple, skilled and resourceful. If an investments ROI is net is positive, this tells them that it is worthwhile and has some use to it. If it is low, it lets people know that this is probably not the best solutions, and to not waste their time on something that won't work anyway.

[tex]\boxed{\bold{Mordancy}}[/tex]

Answer: B

Step-by-step explanation:

B. Return on investment .

PLEASE HELP ME, im offering 20 points!

Answers

Answer:

this is a whole math test which question do you need help with

Step-by-step explanation:

Chloe needs 80 hot dogs for her party. If each hot dog package has 8 hot dogs, how many packages of hot dogs does Chloe need to buy?

Answers

Answer:

10 Packages.

Step-by-step explanation:

8 * 10 = 80

Final answer:

To find out how many packages of hot dogs Chloe needs to buy, divide the total number of hot dogs she needs by the number of hot dogs in each package. Chloe needs to buy 10 packages of hot dogs.

Explanation:

To find out how many packages of hot dogs Chloe needs to buy, we need to divide the total number of hot dogs she needs by the number of hot dogs in each package.

80 hot dogs ÷ 8 hot dogs per package = 10 packages

Chloe needs to buy 10 packages of hot dogs.

use the given parent function f(x) = [x] to graph g(x) = [x]+3​

Answers

Answer:

Shift the graph up 3 units.

Mrs. Jackson is covering her bulletin board with new paper. What formula should she use to figure out how much paper to buy?

Answers

Answer: A = L x W

Step-by-step explanation:. Mrs. Jackson should use the formula to calculate area in order to figure out how much paper to buy. The formula is Area = Length x Width. This will tell her exactly how much paper she will need to cover the bulletin board.

Answer:

Step-by-step explanation:

Something of this size could be measured in either ft² or in².

Area of a rectangle is determined by multiplying the width by the height.  In this case the bulletin board will be installed vertically, so let's say that

Area of board = (width)(height)

If, for example, the width were 6 feet and the height 3.5 feet, the area of this board would be (6 ft)(3.5 ft) = 21 ft²

Since 1 ft = 12 in, this 6 foot by 3.5 foot board would be 72 inches by 42 inches.

A city is planning to replace one of its water storage tanks with a larger one. The city's old tank is a circular night with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water in the new storage tank will hold?

Answers

Answer: 15,625 ft³

Step-by-step explanation:

You need to use the formula for calculate the volume of  a cylinder:

[tex]V=r^2h\pi[/tex]

Where r is the radius and h is the height.

You know the radius and the volume of the old tank, therefore you can find the height as following:

[tex]10,000=(12)^2h\pi\\\\h=\frac{10,000}{(144)\pi}ft[/tex]

You know that the radius of the new tank is 15 feet and it has the same height as the old tank. Therefore, you can substitute h into the first equation for calculate the volume of a cylinder, to find the maximum number of cubic feet of water that the new storage tank will hold:

[tex]V=(15ft)^2(\frac{10,000}{(144)\pi}ft)\pi=15,625ft^3[/tex]

Answer:

15625 cubic feet

Step-by-step explanation:

I need help please. 2nd box: meters, cubic meters, or square meters.

Answers

Answer:

I believe it is meters

Step-by-step explanation:

I think so because the rectangle is labeled with meters

To find out area of a rectangle it is (l*w)

In this case it is 9m*7m which is 63 metres squared

Area is 63 metres squared

To find out perimeter of a rectangle we do 2(l*w)

In this case it is (2*9)+(2*7) which is 9+9+7+7=18+14 which is 32

Perimeter is 32 metres

Which of these numbers are irrational?


I just need to know if im right or not Lol

Answers

Answer: The answer is A

What is the pattern in the values as the exponents increase?

Answers

Answer:

Multiply the previous value by 3.

Step-by-step explanation:

The correct pattern in the values as the exponents increase is - Multiply the previous value by 3.

We can see, that [tex]3^{-1}[/tex] is [tex]\frac{1}{3}[/tex]

And in the next step, [tex]3^0[/tex] is [tex]\frac{1}{3}\times3=1[/tex]

In the next step, [tex]3^1[/tex] is [tex]1\times3=3[/tex]

In the last step, [tex]3^2[/tex] is [tex]3\times3=9[/tex]

So, at each step, 3 is multiplied to the previous product/value.

Therefore, the correct answer is last option.

Answer: D. Multiply the previous value by 3

Step-by-step explanation: got it right on edgunuity 2020-2021. Hope this helps!


The owner of Cardo Reef Tours found when the price for a tour was $9 US dollars per person
the average number of customers was 1000 per month. When he reduced his price to $7 US dollars
per person the average number of customers increased to 1500 per month. Assuming that his
demand curve was linear, what price should he charge to obtain the largest monthly revenue?
b. If f(x) = 2x
3 − 24x, find the minimum and maximum values of f in the interval [−3,5].

Answers

Answer:

The answers for your two question problem are:

a. He should  charge $7 dollars

b.   Maximum value : f(5) = 130

      Minimum value : f(2) = -32

Step-by-step explanation:

First problem

*When he charges $9 , the numbers of customers are an average of 1000

This means the revenue is

1000*$9  = $9000

*When he charges $7 , the numbers of customers are an average of 1500

This means the revenue is

1500*$7  = $10500

Since

$10500 > $9000

The owner should charge $7, to attract more customers and get higher revenue.

Second problem

f(x) = 2x^3 − 24x

To easily solve this problem, we can graph the equation using a calculator or any plotting tool.

Please, see attached picture

The highest point of the graph, in the interval [-3,5] corresponds to

f(5) = 130

and the lowest point :

f(2) = -32

The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is 5 units long. What is the area of ΔDEF? PLEASE HELP!!

Answers

Answer:

The area of ΔDEF will be  [tex]4[/tex] square units.

Step-by-step explanation:

The area of [tex]\triangle ABC[/tex] is [tex]4[/tex] square units.

The corresponding side lengths of [tex]\triangle ABC[/tex] and [tex]\triangle[/tex]DEF are equal.

That means, two triangles are congruent according to [tex]SSS[/tex] postulate.

So, their area will be also equal.

Thus, the area of ΔDEF will be  [tex]4[/tex] square units.

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