Segment HK is divided by point J at a ratio of 3.4. If H(6,9) and J(12, 18), what are the coordinates of point K?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]x=\frac{mx2+nx1}{m+n}\\let~coordinates ~of~K~be~(x,y)\\12=\frac{3x+4*6}{3+4}\\12*7=3x+24\\3x=84-24\\3x=60\\x=60/3=20\\18=\frac{3y+4*9}{3+4}\\18*7=3y+36\\3y=126-36\\3y=90\\y=90/3=30\\so~K~is~(20,30)[/tex]


Related Questions

Pat has 9cards. Frank has 2more cards than Steve. Steve has 3cards. How many more cards does pat have than frank ?

Answers

4 cards : x= 2 9- (x+3)

A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners
at first and second base. At the moment the ball is hit, the runner at first base runs to
second base at 25 ft/s. Simultaneously, the runner on second base runs to third base
at 15 ft/s. How fast is the distance between these two runners changing 2 s after the
ball is hit?

Answers

The runner on first has distance from second of  90 -25t, where t is the time in seconds since he left 1st base.

The runner on second has a distance from second of  15t, where t is the time in seconds since he left 2nd base

Then the Pythagorean theorem tells us the distance between the runners is :

d = √((90 -25t)² +(15t)²)

The rate of change of distance between the runners is the derivative of this with respect to time.

dd/dt = 2(90-25t)(-25)+2(15t)(15) / (2sqrt(90-25t)^2 + 15t^2)

Replace t with 2 and solve to get: -31

The distance between runners is decreasing at 31 ft/s two second after they leave the bases.

Sara has $175 and wants to start saving more money so she opens a savings account and deposits the $175 in it to start. The function that represents Sara's account is f(x)=175 + x, where x is that amount of money in dollars that Sara deposits after her initial $175. What is a reasonable range for the function?
Group of answer choices

All real numbers greater than or equal to 175

All real numbers

All real numbers greater than or equal to 0 and less than or equal to 175

All real numbers greater than or equal to 0

Answers

Answer:

all real numbers greater than or equal to 175

Step-by-step explanation:

hii help me pls this math test is so hard

Answers

The last 2 options I belive

The national debt was about $6.9 trillion at the end of 2003. Express this quantity as the number of dollars per person. Assume a U.S. population of 280 million.

Answers

Answer:

$24642.85 per person.

Step-by-step explanation:

6.9T/280M

The average amount of debt on each person in U.S is  $24,642.86.

What is average?

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Total debt = $6.9 trillion = $6.9 * [tex]10^{12}[/tex]

Total population = 280 million = 280 * [tex]10^{6}[/tex]

Debt per person = total debt / total population =  $24,642.86 (approximately).

Learn more about average here

https://brainly.com/question/24057012

#SPJ3

Answer plz plz plz plz

Answers

The last graph best explains the rotation

One hundred students go to the cafeteria to eat lunch. Six tables held the same amount of students while an additional 10 students stood in line. Which equation can be used to find the number of students sitting at each table?

Answers

Answer:

6x + 10 = 100

Step-by-step explanation:

Given

Six tables held the same amount of students

let the number of student held by 1 table = x

since there are 6 table holding same number of students

number of student held by 6 table = 6*x = 6x

given that

number of students held in a line = 10

therefore

total number of students = number of student held by 6 table + number of students held in a line

total number of students in cafeteria = 6x + 10

also given

One hundred students go to the cafeteria to eat lunch

6x + 10 = 100  

6x = 100 - 10 = 90

x = 90/6 = 15

thus,

the number of student held by 1 table = 15

thus, required equation can be used to find the number of students sitting at each table is 6x + 10 = 100

Evaluate the following expression when x = -5 and y = 25.



A. -3,130
B. -630
C. 3,120
D. 620

Answers

Answer is c hope that helps

Complete the table. *
O. a = 3.50, b = 4.00
O. a = 4.00, b = 5.00
O. a = 4.50, b = 6.00
O. a = 6.00, b = 8.00

Answers

The answer is C. a = 4.50, b = 6.00. Because for one milkshake it is cost $1.50 so the price will increase as you buy more milkshakes.

Sam signed up for a program that costs $12.50 per month to stream movies to her computer. She decided to cancel her service after 3/5 month. She only has to pay for the amount of time she used the service. How much does she owe?

Answers

Answer:

7.50

Step-by-step explanation:

7.50

15. A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which
statement describes how the graphs of fand g are related?

A. The graph of f is shifted 3 units up to create the graph of g.

B. The graph of f is steeper than the graph of g.

C. The graph of f is shifted 3 units down to create the graph of g.

D. The graph of f is less steep than the graph of g.

Answers

Answer:

The graph of f is shifted 3 units up to create the graph of g.

Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.

We will see that the correct option is A.

"The graph of f is shifted 3 units up to create the graph of g."

To get this, we first need to describe vertical translations.

For a function f(x) we define a vertical translation (or vertical shift) of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

So here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).

And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).

If you want to learn more, you can read:

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The bottom of a lake is 213 feet above sea level.
Short answer that best completes each statement

Answers

Answer:how will we know what your talking about if you only gave us a number

Step-by-step explanation:

One kilometer is 1000 meters complete the table 250 meters equals how many kilometer

Answers

0.25 km is the answer.

1km = 1000m

x = 250

x = 250/1000

x = 0.25

If a=14 and b=4, then what does ab equal?​

Answers

Answer:

ab=56

Step-by-step explanation:

14 x 4 = 56

Answer:

56

Step-by-step explanation:

14*4 = 56

AB = multiplication

he length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch. Select all of the following that could be the actual length of the rectangle.

Answers

Answer:

[tex]3.65 \geq\ Length \leq 3.74[/tex]

Step-by-step explanation:

The options are not given.

However, the question is still solvable.

Given

[tex]Length = 3.7\ inches[/tex] --- Approximated

Required

What could be the actual length

The given length is approximated to nearest tenth.

So, the actual length could be any of the following range

[tex]3.65 \geq\ Length \leq 3.74[/tex]

This is so because, numbers within this range approximates to 3.7

pls help!!!! I will make you brainiest!!!
What is the rate of change?

Answers

Answer:

7.25

Step-by-step explanation:

21/3=7.25

29/4=7.25

and so on

letter a................

Answers

Answer:

y - (18x - 6y)/3  

Step-by-step explanation:

y - (2/3)(9x - 3y)

y - [(2)(9x - 3y)]3

y - (18x - 6y)/3

y + (-18x + 6y)/3

y - 6x + 2y

-6 + 3y

The answer is -6+3y the other person was wrong

Evaluate −3x+5y when x=16 and y=14. Write your answer as a fraction in simplest form.

Answers

Answer:

22??

Step-by-step explanation:

-3x + 5y

-3(16) + 5(14)

-48 + 70

22

Step-by-step explanation:

We need to place the value of x and y in the equation.

Let's Do!

[tex]\sf{ - 3x + 5y}[/tex]

[tex]\rm{ - 3(16) + 5(14)}[/tex]

[tex] \sf{- 48 + 70}[/tex]

[tex] \rm{= 22}[/tex]

As a fraction,

[tex]\bf{ = \dfrac{22}{1}}[/tex]

is the required answer.

Hope it helps :)

AAAAAAAAAAAAAAAA HELP PLEASE HELP

Answers

Answer:

x=-5

Step-by-step explanation:

Answer:

x = -5

4x + 12 = -8

4x = -20

x = -5

Hope this helps

A statistics instructor wants to see if allowing students to use a notecard on exams will affect their overall exam scores. The instructor thinks that the results could be affected by the type of class: traditional, Web-enhanced, or online. He randomly selects half of his students from each type of class to use notecards. At the end of the semester, the average exam grades for those using notecards is compared to the average for those without notecards.

Required:
a. What type of experimental design is this?
b. What is the response variable in this experiment?
c. What is the factor that is set to predetermined levels? What are the treatments?
d. Identify the experimental units.

Answers

Answer:

Throughout the clarification section elsewhere here, the definition of the concern is discussed.

Step-by-step explanation:

This seems to be an experimental analysis where the students were purposely administered an assessment and treatment of someone using notecards towards examine a potential improvement in the answer or calculated indicator that is average scores. Overall test scores are the answer component. Through the use of notecards seems to be the explanatory component. The vector degree is 'Used' either 'Not Used.' The participants offering the test seem to be the experimental groups.

PLEASE HELP THIS IS SERIOUS DUE IN 5 MINS

You have been saving $4.50 per week for the last several weeks.




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Answers

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Two new wind-farm tower projects are proposed for a small company that installs them in south western Pennsylvania. Project A will cost $250,000 to complete and is expected to have an annual net cash flow of $75,000. Project B will cost $150,000 to complete and should generate annual net cash flows of $52,000. As a small company, the owner and senior management team are very concerned about their cash flow. Use the payback period method and determine which project is better from a cash flow standpoint. Show your work and include any formulas used to calculate PP.

Answers

Answer:

Step-by-step explanation:

The payback period is the time to regain the cost of the investment or DRCI. It is a risk criterion that measures the time needed for the discounted sum of the forecast cash flows to allow the recovery of the cost incurred by the investment. However, the shorter the payback period, the lower the risks associated.

Mathematically;

Payback period = Cost of the investment / Annual Net Cash Flow

From the given question:

For project A;

Cost of investment = $250,000

Annual net Cash Flow = $75000

The payback period for Project A = $250,000 / $75,000

The payback period for Project A = 3.33

For project B;

Cost of investment = $150,000

Annual net Cash Flow = $52000

The payback period for Project A = $150,000 / $52,000

The payback period for Project A = 2.88

Thus, from the calculation, we can deduce that project B is better than project A because there fewer risks associated with it because it has a shorter payback period compared to project A.

the cost of 24 roses at Farley's flowers including the $1.74 sales tax is $34.54. Based on this information wich statement is true

Answers

uh......statement...?

How do you think you could represent the number 2,300 as a number times a multiple of 10?

Answers

Answer:

23,000

Step-by-step explanation:

She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6%, what was the price for one candle holder before taxes?

Answers

Answer:

$63.77

Step-by-step explanation:

100-32.16=67.84

67.84*0.94=63.77

Hope this helps!

Answer:

$63.76

Step-by-step explanation:

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x - 1)?
0
7
O
o 12

Answers

Answer:

0

Step-by-step explanation:

distributive property

6x + 6 - 5x = 8 + 2x - 2

combine like terms

x + 6 = 6 + 2x

subtract x from both sides

6 = 6 + x

subtract 6 from both sides

0 = x

A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. You collect the force data for 30 insulators selected for the experiment and find out that the mean force is 1670. The population mean force that you try to estimate is_______.
a. a confidence interval.
b. a statistic.
c. a point estimate.
d. a parameter.
e. an interval estimate.

Answers

Answer:

b. a statistic.

Step-by-step explanation:

the value 1670 is regarded as a statistic. this is because it is a representation of the value of a sample. from the question we get that destructive testing is being done this shows is that what we have here is a sample.

the mean force 1670 is not a parameter, a point estimate, a confidence interval or interval estimate. therefore option b is the answer.

How many solutions does the equation have? How do you know?
6x – 2 = 2(3x – 1)

Answers

Answer:

infinite solutions

Step-by-step explanation:

First, solve the equation.

6x - 2 = 2(3x - 1)

6x - 2 = 6x - 2

By this point, no further work needs to be done because you have your answer. If these two equations are the exact same and are equal to each other, then there is an infinite number of solutions for x.

This is what'll happen if you continue to solve for x:

6x = 6x

x = x

This is infinite because if you substitute any real number, the equation is true.

For example: 1 = 1 or 176 + 59 = 176 + 59.

eating 8 hot dogs in 1/4 of an hour​

Answers

woah thats alot is that a question or you actually doing it

I have c candies, and my sister has twice as many. Together we have 27 candies. How many candies do I have?

Answers

Answer:

i think the answer would be  27 times two then you didved and find answer Hopes This work?

Step-by-step explanation:

I think so because it just makes since

Answer:

You have 9 candies.

Step-by-step explanation:

This is correct because if you have 9 candies, and your sister has twice as many (18), you would get 27 candies in total if you add them together.

If you could subscribe to penny_pg3d that would be great! :)

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