On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?


x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1


y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1


(40, 96)

(85, 105)

(80, 104)

(96, 72)

Answers

Answer 1

Answer:

the answer is (40,96)

Step-by-step explanation:

Answer 2

Point P on the directed line segment from K to J has x and y coordinates that are three-fifths of the length of the line segment from K to J

(85, 105).

What are coordinates?

The coordinates point to any point can be found by using the following formula.

X = [m/(m + n)](x₂ - x₁) + x₁

Y =  [m/(m + n)](y₂ - y₁) + y₁

Given, On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).

The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;

X = [m/(m + n)](x₂ - x₁) + x₁

X = [3/(3 + 5)](- 40 - 160) + 160.

X = - 75 + 160.

X = 85.

Y =  [m/(m + n)](y₂ - y₁) + y₁

Y =  [3/(3 + 5)](80 - 120) + 120.

Y = - 15 + 120.

Y = 105

As a result, point P's x and y coordinates are such that P is three-fifths the length of the directed line segment from K to J (85, 105).

learn more about co-ordinates here :

brainly.com/question/13847533

#PJ6


Related Questions

Which best describes a fraction?
» A fraction is the denominator divided by the numerator.
» A fraction is the numerator divided by the denominator.
1.) A fraction is the numerator multiplied by the denominator.
()) A fraction is the denominator multiplied by the numerator.

Answers

>> A fraction is the numerator divided by the denominator

A fraction is the numerator divided by the denominator best describes a fraction.

Given,

- A fraction is the denominator divided by the numerator.

- A fraction is the numerator divided by the denominator.

- A fraction is the numerator multiplied by the denominator.

- A fraction is the denominator multiplied by the numerator.

We need to find which option best describes a fraction.

What is a fraction?

A fraction has two parts: Numerator and Denominator.

It is in the form of Numerator / Denominator.

We have,

- A fraction is the denominator divided by the numerator.

It is written as denominator / Numerator.

- A fraction is the numerator divided by the denominator.

It is written as Numerator / Denominator

- A fraction is the numerator multiplied by the denominator.

It is written as Numerator x Denominator.

- A fraction is the denominator multiplied by the numerator.

It can be written as Denominator x Numerator.

We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.

Thus A fraction is the numerator divided by the denominator best describes a fraction.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ2

Drew is driving out of state to go to a theme park. The total distance he is driving is 500.34 miles. He has driven 0.45 of the

distance so far, Drew calculated that he has driven 250.17 miles.

Is Drew's calculation reasonable or not? Explain your answer. If his calculation is not reasonable, determine the number of miles

Drew has actually driven.

Answers

The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).

To find actual mileage, multiply by 0.45:

500.34 x 0.45 = 225.153 miles.

Round the answer as needed.

The diameter of a circular placement is 42 centimeters what is the approximate area of the circular placement

Answers

The answer is 1385.44cm²

In the right triangle shown DF=EF=3. How long is DE?

Answers

Answer:

4.24

Step-by-step explanation:

To solve this, use the Pythagorean therom. A^2 + b^2 = C^2

in this case a = 3  and b = 3

so 9 + 9 =  sqrt 18  

4.24

Answer:3√(2)

Step-by-step explanation:

DF=3

EF=3

DE=√(3^2 + 3^2)

DE=√(3x3 + 3x3)

DE=√(9+9)

DE=√(18)

DE=√(2 x 9)

DE=√(2) x √(9)

DE=√(2) x 3

DE=3√(2)

Daniel believes that people perform better in the barbell curl, on average, if they are encouraged by a coach. He recruited 29 subjects to participate in an experiment and randomly assigned them into two groups. Daniel gave one group verbal encouragement during the exercise and was quiet during the exercise for the other group. He recorded the total number of barbell curls each subject was able to complete before setting the bar down.

Explain the purpose of random assignment in this experiment.

Answers

Answer:

Define two roughly identical sets.

Reduce the chance of bias.

Step-by-step explanation:

In this experiment, Daniel performs a random assignment in order to stablish two separate groups with roughly equivalent ability to do barbell curls. Two different treatments (verbal encouragement and silence) are then applied in order to verify for a cause and effect relationship. If the groups were not randomly assigned, then the experiment could be biased.


Use the figure to find the measures of the numbered angles.

Answers

Answer:

Hope this helps pls mark brainliest

Abeline is creating a box design for a company. The front, back, and sides will be painted, but the top and bottom will not be painted. A prism has a length of 10 feet, height of 8 feet, and width of 12 feet. Which net could be used to find the surface area of the sides that will be painted? A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded, and the first and third rectangle of the bottom 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The middle 4 rectangles are shaded.

Answers

Answer:

it is the first one

Step-by-step explanation:

Answer:

A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.

Step-by-step explanation:

In ΔIJK, the measure of ∠K=90°, IK = 39, JI = 89, and KJ = 80. What ratio represents the sine of ∠I?

Answers

Answer: 80/89

Step-by-step explanation:

Answer:

80/89

Step-by-step explanation:

delta math told me

Which is the best estimate of the circumstances of this circles 2

Answers

Answer:

12 is the best estimate

Step-by-step explanation:

Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.

How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.

Answers

I think it is 123 meters Answer:

Step-by-step explanation:

What’s the correct answer for this?

Answers

Answer:

D.

Step-by-step explanation:

Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.

Answer:

D. Angle-Angle-Side.

Step-by-step explanation:

The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.

4. Find the zeros for 0 = x2 + 6x + 9.
a. X= 3
b. x = -3
C. X = 3 and x = -3
d. x = 1 and x = 9

Answers

Answer:

b. x = -3

Step-by-step explanation:

0 = x^2 + 6x + 9

Factor

0 = (x+3) (x+3)

Using the zero product property

x+3 = 0  x+3 =0

x = -3

(3sqr3cis(pi/8))*(3sqr5cis(2pi/3))

Answers

Answer:

  9√15·cis(19π/24)

Step-by-step explanation:

The magnitudes multiply and the angles add:

  = ((3√3)(3√5))·cis(π/8 +2π/3)

  = 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))

  = 9√15·cis(19π/24)

asap BRAINLIEST to anyone who get this correct. Factor the expression below.
4x^2 - 20x + 25
A. (4x + 5)(x + 5)
B. (4x - 5)(x - 5)
C. (2x + 5)(2x+5
D. (2x - 5)(2x - 5)​

Answers

Answer:

D. (2x - 5)(2x - 5)​

Step-by-step explanation:

4 is a perfect square, with its two identical factors being 2. The number 25 is also a perfect square, with its two identical factors being 5. This leaves us with the answer choices:

C. (2x + 5)(2x + 5)

          OR

D. (2x - 5)(2x - 5)​

However, when you solve answer "C," the result is:

[tex]4x^2+20x +25[/tex]

But we need the middle term to be -20x, so answer "D," is correct since it has -5 instead of positive 5.

Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees

Answers

Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

What is the image of (1,0) after a counterclockwise rotation of 60 degrees?

Answers

Answer:

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

Step-by-step explanation:

The coordinate has the following polar form:

[tex]\vec r = (1, 0^{\circ})[/tex]

The image of the coordinate rotated counterclockwise 60° is:

[tex]\vec s = (1, 60^{\circ})[/tex]

Its equivalent form in rectangular coordinates is:

[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]

[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]

If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?

Answers

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

Why is it important to have high
quality audio files

Answers

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

The average temperature of the atmosphere in the world is approximated as a function of altitude by the relation Tatm=288.15−6.5z where Tatm is the temperature of the atmosphere in K, and z is the altitude in km with z = 0 at sea level. Determine the average temperature of the atmosphere outside an airplane that is cruising at an altitude of 12600 m. The average temperature of the atmosphere outside an airplane is

Answers

Answer:

The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].

Step-by-step explanation:

The average temperature of the atmosphere outside an airplane flying at an altitude of 12600 meters is computed by evaluating the linear function:

[tex]T (12.6\,km) = 288.15 - 6.5\cdot (12.6\,km)[/tex]

[tex]T (12.6\,km) = 206.25\,K[/tex]

The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].

A right triangle has one leg 3 meters long and a hypotenuse 5 meters long. What is the length of the other leg? A. 4 m B. 5 m C. 15 m D. 25 m

Answers

Answer:

A

Step-by-step explanation:

Using the Pythagorean Theorem, you can find that the length of the final leg is:

[tex]\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]

Therefore, the answer is A. Hope this helps!

The angle 01 is located in Quadrant II, and sin(01) =
9/41
What is the value of cos(01)?
Express your answer exactly.
cos(01) =

Answers

Answer:

-40/41

Step-by-step explanation:

Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.

41² = 9² + a²

a = 40.

However, this is in quadrant II, so when finding the 'cos' value, this side is -40.

Cosine is A/H, giving is:

cos(01) = -40/41

I have f(x)=x^2+x+5. Then (f(x)-f(a))/(x-a).

Answers

Answer:

  (f(x) -f(a))/(x -a) = x +a +1

Step-by-step explanation:

(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)

  = ((x -a)(x +a) +(x -a))/(x -a) = x +a +1

(f(x) -f(a))/(x -a) = x +a +1

The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answers

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

What is the approximate area of a circle with diameter 6?

Answers

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

Find the value of x 6x-10 6x+10

Answers

Answer:

total there are 3 values of x as +5/3, -5/3 and 0

Step-by-step explanation:

the  given equation is

x(6x-10) (6x+10)=0

this equation can be solved as following

=0   using the formula (a+b)*(a-b)= (a^2-b^2)

here a=6x and b=10

from here we can write either x=0 or 36x^2= 100  

or x^2= 100/36 and x=0

or x= ±10/6 and x=0

therefore, total there are 3 values of x as +5/3, -5/3 and 0

How do I GRAPH the SOLUTION to the inequalities AFTER solving them?
-138> -6(6b-7) Any help is appreciated greatly.

Answers

answer is b > 5

Step-by-step explanation:

A garden is in the shape of a rectangle 85m by 50m
Flowers are grown in 32% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.

Answers

Answer:

2890 sq. meters

Step-by-step explanation:

The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.

Hope this helped! :)

Answer:

The Area of the Garden that is Grass: 2890 square meters

Step-by-step explanation:

Let us plan out the problem before us. We could first calculate the area of the garden thorugh multiplication it's length by width. After that, compute the area occupied by flowers through 32% of the area of the garden. That would mean the area of the garden that is grass is the area of the garden - the area of the garden that is flowers.

1. Area of Garden = 85 * 50 = 4250 square meters

2. Area of Flowers in the Garden = 32/100 * 4250 = 136000/100 = 1360 square meters

3. Area of Grass in the Garden = 4250 - 1360 = 2890 square meters

The Area of the Garden that is Grass: 2890 square meters

!!!!!!WILL MARK BRAINLIEST I need answer quickly!!!!!!!!
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 5. Using empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7 of males

Answers

Answer:

Average systolic blood pressure = x = 130

Standard deviation = s = 6

Step-by-step explanation:

We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.

According to the empirical rule:

a) 68% values lie within 1 standard deviation of the mean

b) 95% values lie within 2 standard deviation of the mean

c) 99.7% values lie within 3 standard deviation of the mean

So, 99.7% value will lie within 3 standard deviations from the mean.

We can express this range as:

( x - 3s, x + 3s)

= (130 - 3(6), 130 +3(6))

= ( 130 - 18, 130 + 18)

= ( 112, 148 )

Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town

Hope this helps!!!

The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).

What is Empirical Rule?

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

Given that,

For males in a certain town, the systolic blood pressure is normally distributed.

Mean, μ = 105

Standard deviation, σ = 5

Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.

So the interval is (μ ± 3σ).

That is, (105 - 3×5, 105 + 3×5) = (90, 120)

Hence the required interval is (90, 120).

Learn more about Empirical Rule here :

https://brainly.com/question/30700783

#SPJ3

ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.

Diagram is there too as I couldn't fit the question in. ​

Answers

Answer:

10.83

Step-by-step explanation:

The length of AB to 3 decimal places is 10.83 cm

The given figure is a right triangle

From the triangle, we are given the following parameters

AC = 18cm

m<C = 38 degrees

we need to get the length of AB

Using the SOH CAH TOA identity

[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]

Hence the length of AB to 3 decimal places is 10.83 cm

Learn more here: https://brainly.com/question/19286106

if Logan(3)=5, what is the value of a^5?​

Answers

Answer:

  [tex]a^5=3[/tex]

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  [tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]

Here, it means ...

  [tex]\boxed{a^5=3}[/tex]

Answer:

[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]

Step-by-step explanation:

[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]

Other Questions
The old man and the sea.Explain briefly what figurative language is, according to this lesson. I NEED HELP ASAP!!!The __________ Behavior Organization has handouts, handbooks ,forms and information for parents and teachers to use to identify behavioral causes and responses. Please help me ASAP Have you ever seen a Magic 8 ball? You ask it a yes-no question and then shake it to get a random response like Signs point to yes!, Very doubtful, etc. If youve never seen a Magic 8 ball, check out this video.We encourage you to work in pairs for this challenge. Come up with 8 responses to yes-no questions. Write a program below that chooses a random number from 1 to 8 and then uses if statements to test the number and print out the associated random response from 1-8. If you need help with random numbers, see lesson 2.9.public class Magic8Ball{ public static void main(String[] args) { // Get a random number from 1 to 8 // Use if statements to print out 1 of 8 responses }}1public class Magic8Ball2{3 public static void main(String[] args)4 {5 // Get a random number from 1 to 867 // Use if statements to print out 1 of 8 responses8910 }11} At 7 PM, the temperature outside was -5C. What does 1-5 represent in this situation? Why did the deer start to avoid certain areas of the park, like valleys and gorges?a They could be trapped easily in those areasb Their food source ran out of those areasc Humans built shopping malls and tourist attractions in those areasdThey did not avoid those areas, they flocked to them Talia is going to put a new carpet in her house. She measure's one side of her living room and finds it measures 17 meters which measurement does 17 meters represent What does this dialogue reveal about Caroline's viewpoint?O She believes that women should not do what societyconsiders to be men's work.O She believes that she should not have to do herhusband's work, but she will until he is healthy.O She believes that only women should do work outdoorsand men should avoid this type of labor.O She believes that both men and women can enjoy thefeeling of accomplishment that comes with hard work. PLEASE HELP ASAP!!!!!!!!!!!! The school where Vivaldi taught was the... What is 1/2 multiplied -3/4 How should resumes and cover letters be written to help you obtain a job that meets yourcareer goals?They should list your hobbies.They should include why you left your previous jobThey should list your accomplishments and how your skills meet the needs ofthe jobThey should list any teachers who will give you a good reference. What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. I need some help with this question, I got a different answer. Find the are. Will mark brainliest. As a long-term investment at the beginning of the 2021 fiscal year, Florists International purchased 25% of Nursery Supplies Inc.s 8 million shares of capital stock for $40 million. The fair value and book value of the shares were the same at that time. The company realizes that this investment typically would be accounted for under the equity method, but instead chooses to measure the investment at fair value. During the year, Nursery Supplies reported net income of $40 million and distributed cash dividends of $2.00 per share. At the end of the year, the fair value of the shares is $35 million. Required: 1. How would this investment be classified on Florists' balance sheet? 2. Prepare all appropriate journal entries related to the investment during 2021, under the fair value option, and in a manner similar to what Florists would use for investments in equity securities for which it does not have significant influence. Record the purchase. Record the dividends. Record any adjusting entry needed at year-end for the change in fair value. What do you think Greg thinks of the principal? Why? A company has two departments, Y and Z that incur delivery expenses. An analysis of the total delivery expense of $12,000 indicates that Dept. Y had a direct expense of $1,300 for deliveries and Dept. Z had no direct expense. The indirect expenses are $10,700. The analysis also indicates that 60% of regular delivery requests originate in Dept. Y and 40% originate in Dept. Z. Departmental delivery expenses for Dept. Y and Dept. Z, respectively, are: Multiple Choice $7,330; $6,000. $7,330; $4,670. $7,720; $4,280. $7,200; $4,800. $6,000; $6,000. Is this SAS or Not SAS Which of these sentences is the best example of a call to action?a.But Washington believes action now could help avert future disasters, such as coastlines lost to rising sea levels and extreme shrinkage of the polar ice caps.c.Otherwise, the vampire-like gadgets continue to suck electricity from the lines.b.You can even help slow global warming by taking shorter showers.d.all of these