Segment JL has endpoints J(-3, -4) and L(7, 6). What are the coordinate of point K, so that point K is on line segment JL and JK = 3/5 JL. Explain.​

Answers

Answer 1

Answer:

K(3,2).

Step-by-step explanation:

We want to find a point K(x,y).

JK = 3/5 JL.

This means that:

[tex]K - J = \frac{3(L - J)}{5}[/tex]

We use this to find both the x-coordinate and the y-coordinate of K.

x-coordinate:

x-coordinate of J: -3

x-coordinate of L: 7

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]x - (-3) = \frac{3(7 - (-3))}{5}[/tex]

[tex]x + 3 = 6[/tex]

[tex]x = 3[/tex]

y-coordinate:

y-coordinate of J: -4

y-coordinate of L: 6

[tex]K - J = \frac{3(L - J)}{5}[/tex]

[tex]y - (-4) = \frac{3(6 - (-4))}{5}[/tex]

[tex]y + 4 = 6[/tex]

[tex]y = 2[/tex]

The point is K(3,2).


Related Questions

which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15​

Answers

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

We are required to determine the inequality that represents the sum of x and y is at most 15.

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Read more;

https://brainly.com/question/23382973

The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error

Answers

7 and 0.2 s the answer 723

there are 16 sixth graders, 11 seventh graders, and 9 eighth graders in a gym class. the gym teacher randomly selects one student to collect balls how many ways can choosing not a seventh grader occur

Answers

Answer:

34 total students.

25 are not 7th graders

27/35

Please answer at least one of the pictures attached below

Answers

Answer:

HOLD ON ILL BE RIGHT BACK

Step-by-step explanation:

A net force acting on a 5.0 kg box produces an acceleration of 4.2 m/s2. What
acceleration will the same net force cause on a 2.8 kg box?

Answers

Answer:

14 N

Step-by-step explanation:

Let the mass of the box be m.

F = ma → F = 5 x 4.2 = 21 N

When mass = 2.8 kg, let the acceleration is a. For same force:

=> 21 = a x 2.8

=> 21/2.8 = a

=> 7.5 m/s² = a

Answer:

7.5M/s^2

Step-by-step explanation:

nine times the difference between 4 and a number is24.what is the number.​

Answers

Answer:

9×24-4

216-4

212

Step-by-step explanation:

I am not sure, but it might help you

Answer:

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

n = [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

9(4 - n) = 24

36 - 9n = 24

-9n = -12

n = [tex]\frac{4}{3}[/tex]

or (because the wording is kind of confusing)

9(n - 4) = 24

9n - 36 = 24

9n = 60

n = [tex]\frac{20}{3}[/tex]

Plss this is timed will mark brain least if shown work!

Answers

Answer:

good

Step-by-step explanation:frog

6x+4=22

What is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 4 from both sides of the equation:

6x + 4 (-4) = 22 (-4)

6x = 22 - 4

6x = 18

Next, divide 6 from both sides of the equation:

(6x)/6 = (18)/6

x = 18/6

x = 3

3 is your value for x.

~

using the table find the value of y when x=2

Answers

Answer:

y = 8 when x = 2

Step-by-step explanation:

y = 4x

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
10
91x
fix)
-
90
A. k=-3
B. K=-1
C. K=4
D. K=5

20 Points plz help

Answers

Adding K shifts the graph up that many units.

The vertex of f(x) is at y = -3

The vertex of g(x) is at y = 1

This as a 4 unit shift upwards.

K = 4

60 divided by 4 - 3^2 + 2 (5)

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First Step: Solve the exponent 3^2=9

Then, you get 60 divided by 4-9+2(5)

Then, you do Multiplication and Division from left to right, so 60/4=15, 2(5)=10

Then, you get 15-9+10

Then, you do addition and subtraction from left to right.

15-9=6, then 6+10=16

a+4<9


Anyone please?

Answers

a < 5

step by step

4 - 4 = 0

9 - 4 = 5

James think of a two digit number it is a cube number​

Answers

Step-by-step explanation:

64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.

ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.

How are the acute angles of the right triangle below related? Please don’t answer me with a link

Answers

Answer:

An acute angle is an angle whose measure is less than 90∘. That is, in a pair of intersecting non-perpendicular lines, the smaller of the angles are acute. A right angle is an angle whose measure is equal to 90∘. That is the measure of the angles of perpendicular lines.

Step-by-step explanation:

Suzanne bought a sweater at the sale price of $35. The original cost of the sweater was $50. What percent represents the discount that Suzanne received when buying the sweater?

Answers

Answer:

She got a 30 % discount

Step-by-step explanation:

Take the original price and subtract the new price

50 -35 = 15

Divide by the original price

15/50

.30

Multiply by 100 to get the percent

.30 * 100 % = 30 %

She got a 30 % discount

Can anyone help me I would really appreciate it.

Answers

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
350d ___ 1,400
(> or < or less than/more than equal to)​

Answers

Answer:

It will take them 4 days to travel 1400.

Step-by-step explanation:

350d (x 4) = 1400

siny dy/dx= cosy(1-xcosy)



pls i need it fast​

Answers

Answer:

sec y = x+1 + ce x ; c is constant

Hope it helps....

20 10
40
30.
15
40
70
25
20
30
100
40
50​

Answers

60? I don’t know what this mean

Inverse of (1,3)(2,4)(6,8)

Answers

Answer:

{(3,1),(2,4),(6,8)}

Step-by-step explanation:

Since for inverse of (x,y), it's(y,x)

i.e. the forst term and second term of order pair switch their places

oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?​

Answers

Answer:

5 hours

Step-by-step explanation:

sam originally paid $18 hours but then had to pay 9 every 1 hour

18+9/1=?

sam paid 63 $ in total so

63-18= 45

45/9=5

A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?

Answers

The number of years before the new car becomes $5700 is 11.4 years.

How long would it take the value of the car to become $5700?

Depreciation is when the value of an asset declines with the passage of time.

Number of years = (In FV / PV) / r

r = rate of depreciation FV = future value of the carPV = purchase value of the car

(IN 5700 / 20,000) / 0.11 = 11.4 years

To learn more about depreciation, please check: https://brainly.com/question/25552427

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I need your help guys ....pls answer it correctly I will mark you as a brainlist ❤️....20 minutes left for me to submit my assignment pls Fast guys​

Answers

Answer:

If the lines are parallel, then the corresponding angles will be equal. In the given, they are not equal.

Step-by-step explanation:

Answer:

If they were parallel XSA and STC would be equal but as they are not, the lines are not parallel.

Step-by-step explanation:

Martina turns on a treadmill to start walking.
She takes 1 minute to gradually increase her speed and then walks at the same speed for 4 minutes. She increases her speed twice more during the 15 minutes she is on the treadmill, as shown on the graph below. Which best describes the function of Martina's walking speed over the interval (0, 15]?

Answers

Answer:

a peicewise function with seperate pieces of linear and step functions

Step-by-step explanation:

The statement that describes the function is: (a) a piecewise function with separate pieces of linear and step functions

From the attached graph, we have the following highlights

The graph has several linear functions.The graph has multiple step functions, as well.

This means that: the function is best described by the given graph is statement (a)

Read more about piecewise and step functions at:

https://brainly.com/question/13907972

A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.

Answers

Answer:

That would be 19! / 10!, which is 33522128640

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

What is permutations?

It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.

How to calculate ways?

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

Learn more about permutations at https://brainly.com/question/1216161

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Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.

Answers

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

please help A hologram projection of Leia is 5.5 feet tall. The angle from the ground to the top of the hologram is 25°. How far away from the hologram is the Jedi Trainee?

Answers

Answer:

11.7947881

depends now how you wanna round it

Step-by-step explanation:

tan(25)=5.5/x

x=5.5/tan(25)

x=11.7947881

this is how we round it in my school

x≈11.8

Let X and Y be the following sets:
X = {10,20,30}
Y = {5, 10, 15, 20}
Which of the following is the set XY?

Answers

Answer:

{10;20}

Step-by-step explanation:

X & Y = {10;20}

Select the measures that are equal to 3 gallons. Mark all that apply.

6 quarts

12 quarts

6 pints

12 pints

24 pints

20 cups

Answers

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 galllon = 8 pints

Answer:

12 quarts 24 pints

Step-by-step explanation:

change all measurements to gallons and solve.

1 quart= 2 pints

1 gallon = 8 pints

Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answers

Answer:

135

Step-by-step explanation:

135+45=180

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