A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer 1

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

Related Questions

If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?

Answers

Answer:

6

Step-by-step explanation:

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm​

Answers

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]

WILL GIVE BRAINLIEST!!
What is the value of 1/60?

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Write a multiplication equation and a division equation that this diagram could represent.

A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".

Group of answer choices

3 • 18 = 54 and 54 ÷ 18 = 3

54 • 3 = 18 and 18 ÷ 3 = 54

c


3 • 18 = 54 and 54 ÷ 18 = 3



3 • 18 = 54 and 18 ÷ 54 = 3

Answers

Answer:

[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Measurement=18[/tex] per section

[tex]Total\ Measurement=54[/tex]

Required

Model the scenario

The model of this scenario is:

[tex]Sections * Measurement = Total\ Measurements[/tex]

This gives:

[tex]3 * 18 = 54[/tex] -- This represents the multiplication model

Divide both sides by 18

[tex]3 * 18/18 = 54/18[/tex]

[tex]3 * 1 = 54/18[/tex]

[tex]3 = 54/18[/tex]

Reorder

[tex]54/18 = 3[/tex] -- This represents the division model

Answer:

121*5677*66766.546646

5

Step-by-step explanation:

Find the mean, median, mode, and range of the following data.

10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15

Answers

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.

Answers

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!

Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?

Answers

Answer:

D on edge 2020

Step-by-step explanation:

the coordinate point is at (-1, 1.75)

The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The complete question is:

Which graph represents 2(cos(2π/3)+i sin(2π/3))?

The graphs are in the picture, please refer to the picture.

We have a complex number;

= 2(cos(2π/3)+i sin(2π/3))

= 2(cos120 + i sin120)

= 2(-0.5 + i 0.866)

= -1 + i 1.732

The point is (-1, 1.732)

Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ2

The price of an item has been reduced by 45%. The original price was $85.

Answers

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Answers

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

The sum of three consecutive numbers is 84. What is the largest of these numbers? (1 point)

26
27
28
29

WILL GIVE BRAINLEST!!!!!!

Answers

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B

Answers

Both A and B
They all have different values for domain, and therefore are functions

Answer:

A if i'm not mistaking

Step-by-step explanation:

PLEASE HELP URGENT I NEED THIS LIKE RIGHT NOW PLEASE HELP MEEEEEEEE

Answers

Answer:

45

Step-by-step explanation:

Answer:

The length of the body is 45.

Step-by-step explanation:

The violin and bass have an equal ratio, to find the ratio find the two given lengths and divide them, 72 ÷ 24 = 3. So the ratio is 3:1. To find the body of the bass you just have to do 15 × 3. Which is 45.

f(t) = 2t - 3 f(7) =

Answers

Answer:

f(7) = 11

Step-by-step explanation:

t = 7, so we can just plug in the value 7 for (t) in the given equation.

f(t) = 2t - 3

  f(7) = (2 × 7) - 3

  f(7) = 14 - 3

  f(7) = 11

(3x + 6) (5x +4)
I need help I don’t understand

Answers

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

IS THIS CORRECT OR NAH

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?

Answers

6 snaps a minute if you multiply 9 x 6 is 54

Answer:

54 times in 9 mins.

Step-by-step explanation:

divide 48/8 = 6

6 times 9 = 54

9. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?

Answers

Answer:

Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...

Step-by-step explanation:

What is the measure of angle 7?

Answers

50 degrees is the answer
Angle 7 is 50 degrees


Please help if u know

Answers

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

(-3,0), (1,10), (5,0)

The perimeter of a triangle is
17
x

5
units. One side is
3
x
+
5
units and another is
8
x

3
units. How many units long is the third side?

Answers

Answer:

i did'nt understand the question

Step-by-step explanation:

sorry

A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations

Answers

Answer:

d. is constructed by totaling a set of data and dividing that total by the number of observations  

Step-by-step explanation:

Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.

A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.

PLS HELP ASAP... WILL MARK BRAINLIEST!!!!

Parallel lines r and s are cut by two transversals, parallel lines t and u.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

HELPPPP!!!!!
my testt

Answers

Answer:

$8.50

Step-by-step explanation:

ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.  

your answer is $8.50

hope this helps!

Answer:i know this is no help now but plz give my sister brainliest for what she did last year.

Step-by-step explanation:

(2x - 5) (x^2 + x - 2) =

Answers

It’s 2x^3-3x^2-9x+10

The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?

Answers

Answer:

There are 48 male employees.

Step-by-step explanation:

144 divided by 3 = 48

48 x 1 = 48

Therefore there are 48 male employees.

Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.

Answers

Answer:

She covered 2.5 miles, she rode for 0.25 hours.

Step-by-step explanation:

0.25*10=2.5

Option A. In 0.25 hours, she rode 2.5 miles.

It cost $15 to buy 6 pairs of socks.

Answers

thank you, I’ll be using this when I need 6 pairs of socks

A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?

Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.

Answers

Yes it can be a fraction it would be12/13

Answer:

Step-by-step explanation:

Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

2x -3 = -7 please help

Answers

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2

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