The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p​

Answers

Answer 1

Answer:

p = 5

Step-by-step explanation:

Since all points are on same line, AB and BC have same slope.

Use slope formula and compare:

m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)

Compare and solve for p:

p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5

Related Questions

Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?

Answers

Answer:

there would be 67.2 in 2 containers

Step-by-step explanation:

if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2   hope this helps

Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.

Answers

Answer:

the first step would be to combine the x's

Step-by-step explanation:

1.) combine x (12=7+2x)

2.) subtract 7 from both sides of the equation (5=2x)

3.) divide by 2 to allow x to be by its self (5/2=x)

answer please answer please

Answers

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Passes through (2, 3) at a gradient of 2

Answers

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1


Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.

Answers

Answer:

  change = 100y -np

Step-by-step explanation:

The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.

The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.

Her change will be the difference between what she offered in payment and what she owes.

  change = 100y -np

Given that 2x/5=3y/8, find the ratio of X:y

Answers

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

help help help help Please ​

Answers

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6


What is 48,956 rounded to the nearest ten thousand?

Answers

Answer:

50,000

Step-by-step explanation:

THE ANSWER IS 50,000

An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?

Answers

Answer:

14 dollars off the original price

Step-by-step explanation:

Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?

Answers

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

Help Help Help Help Help Help

Answers

Answer:

∠ 1 = ∠ 3 = 52°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 128° = 180° ( subtract 128° from both sides )

∠ 3 = 52°

∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 1 = 52°

help.......................................................

Answers

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

Anything below 1 is a reduce

Anything above 1 is an enlarge

Anything equal to 1 is a preserve

1. Reduce, 0.75 < 1

2. Reduce,  4/5 < 1

3. Enlarge,  4.2 > 1

4. Preserve, 8/8 = 1

5. Enlarge, 7/2 > 1

6. Preserve, 1 = 1

7. Reduce, 0.1 < 1

8. Enlarge, 1 2/3 > 1

9. Enlarge, 12 > 1

-Chetan K

Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?

Answers

20-(4.30+7.02) = 8.68 so your answer would be $8.68

g(x) = 3x + 1, evaluate g(-2).

Answers

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?

Answers

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

$2079


1485 x 1.4 = 2079

A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.

a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning

b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.

c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning

d) Make an argument on which streaming service is the better cost.

Answers

Answer:

A

Step-by-step explanation:

I I think that's the answer

Nadine received the same score on each turn in an online game. Her score on each turn was −24. She had 4 turns.

What was Nadine's final score?

Answers

Answer:

Step-by-step explanation:

-24 x 4 = -96

What is the output of y= 2/3x −4 when the input is 18?

Answers

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

Keep in mind that the input is x, and the output is y.

2. (Solving)

[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

What number does this Roman numeral represent? MCCLXXXVIII

Answers

Answer:

1280 is the answer. hope it helps you

Graph y=-6 please please please

Answers

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7

HELP PLEASEE!!!

In Asha's science experiment, her bacteria are dying at a constant rate of $600$ an hour. If she drew a graph of the number of bacteria in her culture where $x$ represented the time in minutes since the start of the experiment and $y$ represented the number of bacteria remaining in the colony, her graph would be a line. What would be the slope of this line?

Answers

Answer:

-10

Step-by-step explanation:

The rate of change is also known as the slope of the function thus the slope will be -600.

What is the slope?

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.

As per the given,

Bacteria are dying at a constant rate of $600$ an hour.

The rate of change = -600/hour

Slope = y/x = number of bacteria change/time taken

If the graph is a straight line then it will remain constant.

Slope = -600

Hence "The rate of change is also known as the slope of the function thus the slope will be -600".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ2

Evaluate -24=(-6)-(-18).

Answers

Answer:

−24= 12

Step-by-step explanation:

Answer:

-2=1

Step-by-step explanation:

-24=(-6)-(-18)

-24=(-6)+18

-24=12

-24/12 = 12/12

-2=1

(2 negatives make a positive)

Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks

Answers

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.

5x-3y=30
7x-3y=36
elimantion method

Answers

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

Not sure how to do this. Help is much appreciated. :D

Answers

Answer:

m = √n/3 -k

Step-by-step explanation:

√n = 3(k + m)

=> √n/3 = k + m

∴ m = √n/3 -k

Hope this helps!!

h3elpppp pleaseeeehejejrhegss

Answers

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

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

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell

Answers

Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Creating a ratio expression thus :

2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75

Let :

Pounds of mulch sold = mPounds of gravel sold = g

Pounds of Mulch sold :

(2.25/3.75) × 180 = 108 pounds

Pounds of gravel sold :

(1.5 / 3.75) × 180 = 72 pounds

Hence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.

Learn more : https://brainly.com/question/25678498

A shirt is 20% off the sticker price of $34. How much is the discount?

Answers

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

It’s going to be 20%

someone help again please !!

Answers

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Other Questions
Solve the equations. 81^x^2=27^x Identify three things that the poet knows he will give up once he embarks on hisjourney of protest. Which has more molecules?A. 1 mole H2OB. 1 mole Al(OH)3C. 1 mole NaClD. There are all the same in a box of chocolate 1/5 are plain chocolate 1/3 are white chocolate the rest are white Convert 25 gigaseconds into centiseconds What is the verb mood used?Similarly, put your phone away when there are live human beings in front of you. Which is the simplified form of the expression ? A. B. C. D. aUse a trigonometric equation todetermine the leg of this triangle.10 m[?] m30 A dividend _______ is the amount of the dividend expressed as a percentage of the stock's market price, helloplz plz help me plzzI will give brainliest plz help plzzz Pls help us. Thank you in advance PromptPick a celebrity to write about. Then, write a short conversation IN GERMAN according to the following pattern about yourcelebrityPerson 1 asks who the celebrity is. (Wer ist das?)Person 2 responds with the celebrity's name.Person 1 asks where the celebrity comes from.Person 2 answers.Person 1 replies, Aah (he/she is (nationality))Person 2 says "Ja, das stimmt!"*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but,more importantly, it will enhance your language ability. This activity will not count towards your grade. How many pounds is a pepper?I really need to know. 100 PTS! HELP QUICK!! Which of the following sentencespunctuates the appositive orappositive phrase correctly?A. Shannon, my sister, owns a healthy livingcompany that allows people to exercise while atwork.B. Shannon, my sister owns a healthy, livingcompany that allows people to exercise while atwork.C. Shannon, my sister owns a healthy living-company, that allows people to exercise while atwork.D. Shannon my sister owns a healthy living,company that allows, people to exercise while atwork. The element X has three naturally occurring isotopes. The masses (amu) and % abundance of the isotopes are given in the table below. The average atomic mass is ______amu. Give your answer two decimal places. Read the passage from President George W. Bushs address to a joint session of Congress in 2001.Our war on terror begins with al-Qaeda, but it does not end there. It will not end until every terrorist group of global reach has been found, stopped, and defeated. . . .. . . We will starve terrorists of funding, turn them one against another, drive them from place to place, until there is no refuge or no rest. And we will pursue nations that provide aid or safe haven to terrorism. Every nation, in every region, now has a decision to make. Either you are with us, or you are with the terrorists. From this day forward, any nation that continues to harbor or support terrorism will be regarded by the United States as a hostile regime.George W. Bush,September 20, 2001The sentiments expressed by Bush above led to theend of the Cold War with the Soviet Union.invasions of Afghanistan and Iraq.attack on the Twin Towers in New York City.withdrawal of France from NATO. Plz help guys!!!!!!!! In a class of 35 student 19 takes history and 12 take Economic.if 5 take both subject how many take neither? What is the percent composition of Be(OH)2?