Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)

Answers

Answer 1

Answer:

k = 3.

Step-by-step explanation:

If they are collinear the slope of AB = the slope of BC, so :-

(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)

2/2 = k/3

1 = k/3

k = 3.


Related Questions

A box contains three cards. On one card there is a question mark ​(Upper Q​), on another card there is a pear ​(Upper P​), and on the third card there is a moon ​(Upper M​). Two cards are to be selected at random with replacement. Complete parts​ (a) through​ (e) below. ​a) Determine the number of sample points in the sample space.

Answers

Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

The drawing below shows circle B and circle E.Which equation best describes the relationship between BC and EF?

Answers

Answer:

BC = 3(EF)

Step-by-step explanation:

The question stated that AC is 3 times the length of DF.

Answer:

BC = 3(EF)

Step-by-step explanation:

Remember that AC is 3 times the length of DF

Can someone help me with this. Will Mark brainliest.

Answers

answer: (0,-5)

explanation: using midpoint formula

PLS HELP
I WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
SOLVE FOR X IN THE 4 PROBLEMS

Answers

Answer:

# 1 the missing side is 11,  20+12+12= 44

Step-by-step explanation:

Answer:

1. 5

2. 4

3. 2

4. 10

Step-by-step explanation:

i did this already. so i knew the answers

convert the angle 0=17 pie/18 radians to degrees

Answers

Answer:

it would be 170°

Step-by-step explanation:

( 17 πover 18 )  ⋅  180 °  over π

17over18 ⋅  180

then you cancel the common factors

17 ⋅  10 mulitply those two and end up with

170°

To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee $5 of per hour. The chemistry club wants to spend at most %58 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t.

Answers

Answer:

You need the minimum cost for renting the meeting room given the following info

Reservation Fee = $18

Hourly Rate = $5

The renter wants to keep the cost below $58

So the cost will vary with the time, t you use the inequality below

5t + 18 ≤ 58

You can solve this to get that minimum

You can check you answer by graphing it.

I hope this helps!<3

• A neighborhood threw a fireworks celebration for the 4th of July. A bottle rocket was launched upward from the ground with an initial velocity of 160 feet per second. The formula for vertical motion of an object is h(t) = 0.5at2 + vt +s, where the gravitational constant, a, is -32 feet per square second, v is the initial velocity, s is the initial height, and h(t) is the height in feet modeled as a function of time, t.

Part A: What function describes the height, h, of the bottle rocket after t seconds have elapsed?


Part B: What was the maximum height of the bottle rocket?​

Answers

Answer:

poopy

Step-by-step explanation:

Answer:

h(t)=0.5at^2+v+5

Step-by-step explanation:

If you know how to do math you should know

Tina drew a triangle with side lengths 6, 8, and 14. She claims it is a right triangle. Is she correct?

Answers

Answer:

No such a triangle can not exist.  

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance

Answers

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

If I fail this homework, I may get beat.

Answers

Answer:

Don't click the link its a virus

Please solve these for me will give you brainiest please!!

Answers

2- y= -5

3-  y= 2x

4- y= -4

5- y= 6x,,, 60

6-   -4,,,,,,,,,   36

Explain the steps taken to write an equation from a description given in words.

Answers

Answer:

Step-by-step explanation:

10+10+20

5+5=10

6+4=10

10+10=20

Answer:

the person above me is incorrect

To write an equation from a description given in words, you first have to identify and define the variable. Then you would identify the coefficient, constants, and operations between the terms. Finally, you can translate to write the equation.

The algebra question is in the image

Answers

Answer:

B

Step-by-step explanation:

A or constant is the answer

Write the exact value of the side length, in units, of a square whose area in square units is: 100/9

Answers

Answer: 10/3 units

Step-by-step explanation: sqrt 100/9= 10/3

If f (x) = 3x - 2 and fog(x) = 6x - 2 then find the value of
x such that gof(x) = 8.​

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

To find g(x), we can start with the inverse of f(x).

  f(y) = x . . . . . . . solve this to find f^-1(x)

  3y -2 = x

  3y = x +2 . . . . add 2

  y = (x +2)/3 = f^-1(x) . . . . divide by 3

__

Now, we can find g(x):

  f^-1(f(g(x)) = g(x)

  f^-1(6x -2) = ((6x -2) +2)/3 = g(x)

  6x/3 = g(x) = 2x

__

Now, we want g(f(x)) = 8

  g(3x -2) = 8

  2(3x -2) = 8

  6x -4 = 8

  6x = 12

  x = 2 . . . . makes g(f(x)) = 8

HELP A BRAINLY SISTA OUT!!!
Carl can paint a room 4 hours faster than Jennifer can. If they work together, they can complete the job in 6 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her own. (10 points)

Answers

Jenifer can paint a room in 10 hours. When Carl helps the time is reduced to 6 hours.

Answer:

10 hours is Jennifer or 12

Step-by-step explanation:

A certain reality TV show lost a total of 9,000 viewers over the past 3 months. It lost the same number of
viewers each month.
The following equation describes this situation.
-9,000 = 3 = -3,000
What does -3,000 tell us?

Answers

Answer:

Step-by-step explanation:

- 3, 000 tells the number of views loss in each month.

Please Help 8th Grade math!!!!!!! only anwser 9

Answers

it's 40.00 beacuase justo subtract

9514 1404 393

Answer:

  Chris's gym charges more

Step-by-step explanation:

The difference between 2 rentals and 1 rental at Chris's gym is ...

  $55.50 -52.75 = $2.75 . . . . cost of court rental at Chris's gym

This $2.75 cost at Chris's gym is higher than the corresponding $2.00 cost at Tyrell's gym.

Chris's gym charges more to reserve the basketball courts.

Solve the system of equations using substitution
y=x+1
x+y = 7

Answers

x = 3, y = 4
or if u want coordinates: (3,4)

how do you solve 1/2(6)(h+1)=18​

Answers

Multiply 6 by 1/2 to get 3

Ow you have :

3( h + 1) = 18

Distribute the 3:

3h + 3 = 18

Subtract 3 from both sides:

3h = 15

Divide both sides by 3:

H = 5

Maria needs 0.7 meters of fabric to make a flag. How many flags can she make from 7.42 meters of fabric?

Answers

Answer:

10 flags

Step-by-step explanation:

7.42/0.7

Round down since you cant "round up" when talking about physical objects.

Answer:

10 Flags

Step-by-step explanation:

Please please help help me please ASAP with one question
No links or files

Answers

Answer:

D

Step-by-step explanation:

A and C are what we've always been taught so it's not them. B is just side time side so with a square that works. D is the only one what I'm not sure of or doesn't seem familiar. So personally I'd say D. Good luck!

Answer:

D

explanation

a finds area of rectangle

b area of square

c of rhombus

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
What is m∠U?
A. 17
B. 29
C. 46
D. 134

Answers

Answer: 17°

Explanation: First find angle TVU. Line TV is straight line so 180°. Subtract 180 from 46 to find angle TVU. Angle TVU = 134.

All angles of a triangle adds up to 180. Find angle U by subtracting 180 by angle TVU and angle T. 180 - 29 - 134 = 17

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

on number 6 what should i color in

Answers

Answer:

For 5/11 shade in the third bubble (0.45 repeating)

6th grade math help me pleaseeee

Answers

Answer:

Meryann brought 6 friends to the party

Step-by-step explanation:

y=9x+24

24 is your constant because the cost for all the pizza won't change

9x will change, so x represents the number of friends she brought

and y will be 78 because it's the total amount of money

78=9x+24

all you have to do is solve this equation

54=9x

x=6

Answer:

Meryann had 6 friends at the party.

Step-by-step explanation:

Total cost = $78

Pizza cost = $24

1 Movie Ticket = $9

Movie Tickets = Total Cost - Pizza Cost

Movie Tickets = $78 - $24 = $54

No. of Friends = Movie Tickets ÷ Movie Ticket

No. of Friends = $54 ÷ $9 = 6

No. of Friends = 6

Questions (a,b), 1 (a,b)

Answers

a )

First of all we need to find the value of x ,

because the angles are written in terms of the variable x .

______________________________________

Let's find the value of x :

STV angle & SUV angle have same measure because both of them are the front angle of SV arc .

[tex]STV angle \: = SUV angle \: \: = \frac{SV \: arc}{2} \\ [/tex]

So :

[tex]3x - 5 = 2x + 15[/tex]

Add sides 5

[tex]3x - 5 + 5 = 2x + 15 + 5[/tex]

[tex]3x = 2x + 20[/tex]

Subtract sides minus 2x

[tex]3x - 2x = 2x + 20 - 2x[/tex]

Collect like terms

[tex]x = 2x - 2x + 20[/tex]

[tex]x = 20[/tex]

Thus the measure of angle T equals :

[tex]measure \: of \: angle \: T = 3x - 5 \\ [/tex]

Now just need to put the value of x which we found :

[tex]measure \: of \: angle \: T \: = 3 \times (20) - 5 \\ [/tex]

[tex]measure \: of \: angle \: T \: = 60 - 5[/tex]

[tex]measure \: of \: angle \: T \: = 55°[/tex]

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

b )

angle S & angle V are also have same measure because they both are the front angles to the TU arc .

And we need to find the value of x again in this part exactly like we did for a .

[tex]angle \: \: S = angle \: \: V[/tex]

As the question told :

[tex]angle \: \: S = 3x[/tex]

and ,

[tex]angle \: \: V = x + 16[/tex]

Thus :

[tex]3x = x + 16[/tex]

Subtract sides minus x

[tex]3x - x = x + 16 - x[/tex]

Collect like terms

[tex]2x = x - x + 16[/tex]

[tex]2x = 16[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

Simplification

[tex]x = 8[/tex]

So ;

[tex]measure \: \: of \: \: angle \: \: S = 3x[/tex]

[tex]measure \: \: of \: \: angle \: \: S = 3(8)[/tex]

[tex]measure \: \: of \: \: angle \: \: S = 24°[/tex]

And we're done.

helpppp please

On a map, 2 inches represent an actual distance of 28 miles. If the actual distance
between two cities is 322 miles, how many inches apart will the two cities be on the
map?

644 inches

23 inches

2 inches

28 inches

Answers

Hopefully this answers your question

Which expression is equivalent to the given expression?

Answers

Step-by-step explanation:

D. In 2 _ In

maaf kalo salah

what is the value of 8 3/5 + (-4 2/5) - 11 1/5​

Answers

Answer:

Its right infront of you.....

1/5

Step-by-step explanation:

4.40 divided by 0.08

Answers

Answer:

55

Step-by-step explanation:

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