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

Suppose that a department contains 8 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men

Answers

18,200 +4368= 22,568

2x2-2x3-2x4-2x5-2x6-2x7

Answers

Answer:

-46

Step-by-step explanation:

first multiply

add

and last subtract

2x2-2x3-2x4-2x5-2x6-2x7=-46

a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3

Answers

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables

Answers

Answer:

c

Step-by-step explanation:

Solve each equation by completing the square.

X^2 +2x-5=0


N^2-20n+2=4

Answers

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)

1 year = 12 months
3/4 year =

Answers

Answer:

3/4 year = 9

Step-by-step explanation:

To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a  year is 9 months.

I hope this helps!

Your answer to 3/4 of a year is 9 months

A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.

Answers

Answer:

D. The probability that a customer buys a taco, a drink, or both is

55%.

The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.

Answers

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

what is |-9| i need help

Answers

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

The simple process of counting the number of observations (cases) that are classified into certain categories is called

Answers

Answer:

tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.

Step-by-step explanation:

onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?

Answers

Hot dogs are $2.50 and drinks are $2.00

3n + 75 = 50 + 2n what does the n equalin the equation

Answers

Answer:

n=  -25

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25

How do I graph y=-2x+7?

Answers

Answer:

Step-by-step explanation:

Plz help .!$&&&&&&&&&

Answers

The thing dosnet show

Which is not a way to write the answer to this problem?

Answers

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

Which ordered pair is NOT in the solution set of −2x + 3y  ≥  12?

A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)​

Answers

Answer:

B

Step-by-step explanation:

What is the value of y? y = 40 y = 80 y = 100 y = 120.

Answers

Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

PLEASEEEEEEE HELP ME GUYS!! ​

Answers

.49 cents i know cause I know

Use the properties of multiplication to solve.

(4 x 13) x 25

Answers

1300 because you times 4 by 13 to get 52 and times that by 25
1300 bc I times then add

can some one help me

Answers

Answer:

y=x-3

Hope This Helps!!!

does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

Select the function that is odd.

A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)

Answers

The answer is A. F(x)= sin(x)

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?

Answers

Answer:

Each journal costs $2.48

Step-by-step explanation:

Let X be the cost of a single journal.

You can write this equation to represent the problem:

26x = 64.48

(26 times the cost of the journal is $64.48)

Then just solve for x by dividing both sides by 26:

[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]

Each journal costs $2.48

6.0 x 10^6 in scientific notation

Answers

Answer:

6,000,000

Step-by-step explanation:

the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)

Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)

Answers

Answer:

D=[tex]\sqrt{10}[/tex] or about 3.2  M=(1.5,-0.5)

Step-by-step explanation:

D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex]   M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Lets find the distance first:

D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]

D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]

D=[tex]\sqrt{9+1}[/tex]

D=[tex]\sqrt{10}[/tex]

D is about = 3.2

Lets find the midpoint now:

M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]

M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]

M= (1.5,-0.5)

Find the perimeter.Simplify your answer.

Answers

Answer:

20c+14

Step-by-step explanation:

To find the perimeter we have to add up all the sides

4c+6c+7+4c+6c+7

Combine light terms

20c+14

Answer:

Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,

6c+7+6c+7+4c+4c= 20c+14

20c+14 is the perimeter

simplify the expression.

20a^4 × (1/2 a^3 )^2

Answers

Answer:

5a^10

Step-by-step explanation:

28. Overhead Projectors Your teacher draws a circle on an overhead projector.
The projector then displays an enlargement of the circle on the wall. The circle
drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet.
What is the scale factor of the enlargement?
a

Answers

A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = [tex]\frac{6}{12}[/tex]

      = [tex]\frac{1}{2}[/tex]

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]

                    = 0.125

scale factor = [tex]\frac{1}{8}[/tex]

The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

For more on scale factor, visit: https://brainly.com/question/10253650

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