If the points (2, 4), (5, k), and (8, 20) are on the same line, what is the value of k?

Answers

Answer 1

Answer:

k = 12

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (8, 20)

m = [tex]\frac{20-4}{8-2}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]

Repeat using (5, k) as one of the points and equate to [tex]\frac{8}{3}[/tex]

(x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, k) , then

m = [tex]\frac{k-4}{5-2}[/tex] = [tex]\frac{k-4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )

3(k - 4) = 24 ( divide both sides by 3 )

k - 4 = 8 ( add 4 to both sides )

k = 12


Related Questions

What is the answer of
n^2 + 41?​

Answers

Answer:

The expression is not factorable

Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?

Answers

9514 1404 393

Answer:

  £8400

Step-by-step explanation:

The amount due after t years is ...

  A = P(1 +rt)

  A = £6000(1 + 0.10·4) = £6000·1.40

  A = £8400

Chris pays back £8400 in total.

Another house is sold for £283,392
This is 1.6% less than the price paid for the house. What was the price paid?​

Answers

Answer:

the price paid is  £288,000

Step-by-step explanation:

The computation of the price paid is shown below:

Sale of the another house is £283,392

Since the another house would be 1.6% less than the price paid

So, the price paid would be

=  £283,392 × 100 ÷ (100 - 1.6%)

=  £283,392 × 100 ÷ 98.4

=  £288,000

Hence, the price paid is  £288,000

Write the equation of the line, in slope-intercept form, through the
following two points:
(-14, 17)
(-10, 41)

Answers

Answer:

y=6*x+101

Step-by-step explanation:

Slope intercept form is y=mx+n, where m is the slope and n is the intercept.

Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.

I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.

Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.

To express the final equation we just plug in the values of m and n in the expression y=mx+n!

Answer:

y=6*x+101

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Hope this will helps

-11r - 2 = -24
PLEASE HELP!!!!!

Answers

Answer:

2

Step-by-step explanation:

-11r - 2 = -24

-11r = -22

r = 2

Answer:

r = 2

Step-by-step explanation:

-11r - 2 = -24

-11r = -24 + 2 (22)

r = 22/11 (2)

r = 2

pllz helpp i dont havvee timeee

Answers

It states reflected over the y-axis, so treat the y axis as a mirror and you will realise that the x is always the inverse number. For example, if it is -2, the reflected value will be 2. (y remains unchanged)

X: (10,2)

Y: (8,-7)

Z: (-9,5)

Help!! I'll name you the brainliest!!

Answers

Just get a brain

S

Jksjsisisisjsjjsjdjdjdjd

3 divided by 8. What is the dividend?

Answers

Answer:0.375

Step-by-step explanation:

What is the dividend? the question

The answer is 2.666
Hopefully it’s right :)

MATH GRB MP2 2020-21 7 7 of 12
Find the perimeter of the rectangle. Write your answer in the SIMPLEST FORM by combining like terms if you need to. Show your work
or explain how you found your answer.
x + 7

Answers

Answer:

21

Step-by-step explanation:

does anyone have a private server on royal high I need the new set pls

Answers

Answer:

Nope but I hope you find one soon. -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

I do!! My user is;  AngelCookiesSmiles. c:

Step-by-step explanation:

3x - 12 = 3x + 1
help please

Answers

Answer:

There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.

Match these units :) *pls answer *

Answers

Do you have a picture to show so that I can help?<3

Answer:yeesssssowfhefuhenhv2egfv2

cbhufvyb2hvh2d

Step-by-step explanation:

find the square root of 24-16√2​

Answers

Answer:

the square root is 2.82

Step-by-step explanation:

24-16=8

√8=2.82

can some please help me find the 4th term

Answers

Answer:

11

Step-by-step explanation:

C(4) = -7 + 6(4-1)

C(4) = -7 + 6 x 3 =

C(4) = -7 + 18

C(4) = 11

Hope that helps!

help fast please i need both of the awnsers

Answers

Answer:

1. 75

2. 480 people

Step-by-step explanation:

1. 450/2 = 225

300 - 225 = 75

2. 20 * 3 = 60

12 * 35 = 420

420 + 60 = 480

1. 75
2. 480 people
These are the answer I hope this was helpful

1. It is a prime number larger than 20.​

Answers

Answer:

23, 29, 31, 37, 41, 43, 47, 53, 59, 61

what are you asking?

HELPPPP DUE IN 15 MINS!!!!
Triangles ABC and DEF are similar. Find x.

Answers

Answer:

8.57

Step-by-step explanation:

We can calculate the value of x using similarity ratio

11/7 = (15 + x)/(15) cross multiply expressions

105 × 7x = 165 subtract 105 from both sides

7x = 60 divide both sides by 7

x = 8.57 approximately

Which precautions protect online data?
Choose exactly 3 answers that are correct.

using a password manager

getting permission from adults before filling out information online.

turning off the computer

avoiding clicking on links from unfamiliar e-mail messages

Answers

Using password manager, getting permission from adults and avoiding clicking on links.


Jayla is a salesperson. She sold a guitar for $96 and earned 20% commission. How much
commission did jayla earn

Answers

Answer:

$115.20

Step-by-step explanation:

Hi! We need to find 1% of 96 to multiply by 20.

96 / 100 = .96

Now we multiply by 20.

20 x .96 = 19.2.

Now, we add 19.2 to what she earned in the first place (96).

19.2 + 96 = 115.20

Hope this helps!

Of 200 Boston residents surveyed, all but 18 were born in Massachusetts. What percent of the residents surveyed were not born in Massachusetts?

Answers

91 percent were not born in massachusetts

2(4x - 7)
What’s the answer

Answers

Answer:

[tex]8x - 14[/tex]

Step-by-step explanation:

1. expand by distributing terms.

[tex]2 \times 4x + 2 \times - 7[/tex]

2. Simplify 2 × 4x to 8x.

[tex]8x + 2 \times - 7[/tex]

3. Simplify 2 × -7 to -14.

[tex]8x - 14[/tex]

Therefor, the answer is, 8x - 14.

An iPhone 12 Pro phone case normally costs $21.00 but it is on sale for 25% off. What is the sale price of the iPhone case? ​

Answers

Answer:

$15.75

Step-by-step explanation:

write the expression in standard form 27h÷3h​

Answers

the answer in standard form is 9h^2
The answer to this question would be 9h due to 3 going into 27, 9 times

Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month

Answers

Answer:

21 ounces

Step-by-step explanation:

2 pounds→ convert to ounces= 32

32 ounces+ 3 ounces= 35

56 ounces-35 ounces= 21 ounces

Answer:

21 ounces

Step-by-step explanation:

1 pound=16 ounces

16 x 2=32

32+3=35

56-35=21

es urgente necesito ayuda​

Answers

ANSWER

a)56
b)134
c)27
d)141

5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it

Answers

Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

54,675+33,548,000x^1+a^2=?

Answers

Answer:

?

Step-by-step explanation:

54,675+33,548,000x^1+a^2=

get rid of ^1 cuz that doesn't change the value

a^2 can be written as 2a because a^2= a*a and 2a= a*a

54,675+33,548,000x+2a

54,675+33,548,000x= -2a-54675

33,548,000x=-2a-54675

16774000x=-a-27337.5

x=-a - 27337.5

x=-a-27337.5/ 16774000

I obviously know this isn't a real question but here

Answer:

Step-by-step explanation:hey Karlie

Solve 3x^2+4=436
Please solve step by step

Answers

Answer:12

Step-by-step explanation:

Your goal with variables should always be to isolate them.

so the first step is to subtract the 4

3x^2+4=436

       -4= -4

3x^2=432

The next step to isolate the variable x is to get rid of the 3. To get rid of the 3 you have to divide both sides by 3 since it is the opposite of multiplying.

3x^2=432

/3.    =/3

x^2=144

the last step to isolate the x is to do the opposite of what an exponent is, which is to find the square root. So when you square the x^2, the exponent cancels out.

square root of x^2=x

square root of 144=12

x=12

hope this helps!

Write an equation of the line with a slope of 23and y-intercept of −8.
y=

Answers

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

Lauren has twelve more than six times as many pencils as her sister. Which expression represents the number of pencils that Lauren has if the variable p represents the number of pencils that her sister has?

Answers

Answer:

Sister: p

Lauren: 12 + 6p

Other Questions
Happy valentines dayyyy math suckss help pleaseeeeeee What happens to matter that is used up during photosynthesis? It retains its form and mass. It retains its form but increases in mass. It changes to a new form of matter with less mass. It changes to a new form of matter with the same mass. Zainab has 25 beads.She gives 6 of the beads to Lucy.What fraction of the 25 beads does Zainab have now?Give your answer in its simplest form. Which BEST describes the social and political philosophy of the Underground Railroad conductor Harriet Tubman?A)Slavery should be tolerated until legal abolition.B)Slavery should only be allowed in states with economic need.C)Slaves should be given the opportunity to purchase their own freedom.D)Slaves should escape slavery using whatever means were available to them. WIll give branliest if answered correctly 3. Alfonso's friend Dani tells Alfonso that her bloodhound, Ol' Sniffy, lived to be 14.Based on what you know, do you think this was because:Alfonso didn't use a good estimation method,Dani doesn't remember Ol' Sniffy's age correctly, or,Ol' Sniffy lived an unusually long time?Justify your answer. Find the Width of the Rectangular Prism. Warmup 2/16/21(create a table to compare the 2).If you were babysitting, would you ratherCharge $5 for the first hour and $8 for each additionalhour?brySY.OrCharge $15 for the first hour and $6 for each additionalhour?ebo...Explain your reasoning.ng Solve the system of linear equations using Substitution5x + 2y= 9y = -x-3 Sweet Treats Bakery is placing an order for 6,795 kilograms of sugar. That is 25% less than the bakery requested in its last order. How much sugar did Sweet Treats Bakery order then? for each ordered pair determine whether it is a solution to 4x-7y=19 The AcropolisWhat was the purpose of the Acropolis?AthensAthens was the first city-state to develop what type of government?Who could not participate in government?Daily LifeHow was life in ancient Greece different for men and women?How was daily life in Sparta different than in other city-states?Festivals & GamesWhy were festivals held?What types of competitions did they have at the festivals?GeographyDescribe the physical features and location of Greece.Gods & GoddessesWho was king of all the gods and goddesses, and what was his nickname?How did the ancient Greeks honor their gods and goddesses?Knowledge & LearningWho is Euclid?Who is Thucydides?SpartaWhy was Sparta very powerful?What objects have archaeologists found in ancient Sparta?TimeHow old was Alexander when he was made King of Macedonia?When was the battle of Marathon and who won it?When did Thucydides write the history of the Peloponnesian War?When and why was Sokrates put to death?WarWho were the Persian wars fought between, and when did they happen?What was the effect of the Persian Wars on Greece? (list at least 3) CARAMENJADIMUKMINYANGBERTAQWA Describe three negative effects the Civil War had on the economy of Texas. Which statements about the formulas for finding area are true? Select two options. what is an AllianceKeep the Answer simple as possible Find the option which is similar to 'collaboration' *1 pointsharing dialogue with one anotheracknowledging one anotherindividual talkingindividuals co-creating together with one another any help *more than one answer* Which sentence best uses the word shot in the sense of "matter fired from a cannon"?A. They took their best shot and won the competition.B. The general knew that shot would do the greatest damage.C. He took a shot of them reenacting a battle.D. One of the crew members' hands shot up; he knew the answer. Need help with this. Can somebody help me with this math.