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 :

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Related Questions

What is the volume of the prism below?

Answers

answer: the answer is 64!

If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Answers

Answer:

B.  Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D.  Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E.  Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Step-by-step explanation:

Your question does not say, "check all that apply," but I see three possible answers.

A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.

B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.

D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.

E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

_____

Additional comment

My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.

i need some help please

Answers

Answer:

Choice D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

3×4h equals 12h, and 3×2k equals 6k. Which is also known to be 12h+6k.

please help me I would really appreciate it this really affects my grade need the answer the ASAP

Answers

Answer:

27/6, 4 3/6, or simplified version 4 1/2

Step-by-step explanation:

Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.

2 4/6 = 16/6

1 5/6 = 11/6

3 4/6 = 22/6

Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.

16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2

22/6 + 5/6 = The same as above.

Please help me with my work for math

Answers

Answer:

AAA

Stp-by-step explanation:

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

D

Step-by-step explanation:

Answer:C and D

Step-by-step explanation:

7x^2-42x=0

First find the highest common factor of 7x^2 and 42x

7x^2=7 x X x X

42x=2 x 3 x 7 x X

Highest common factor is 7x

7x(x-6)=0

7x=0. or x-6=0

x=0. or x=6

graph x2 - y2 = 16 what are the lines of symetry

Answers

Answer:

it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry

Step-by-step explanation:

josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use?

Answers

90 centimeters of wood i believe

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY

Answers

Answer:

0,8,5

Step-by-step explanation:

x+22 <32

Subtract 22 from each side

x+22-22 <32-22

x <10

The choices that fit

0,8,5

Answer:

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Step-by-step explanation:

x + 22 < 32

This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5

x = 0

0 + 22 < 32

22 < 32

Is 22 less than 32? It is! So it belongs to the solution set.

x = 10

10 + 22 < 32

32 < 32

32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.

x = 8

8 + 22 < 32

30 < 32

Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it  belongs to the solution set.

x = 71

71 + 22 < 32

94 < 32

Is 94 less than 32? No. 71 does not belong to this solution set.

x = 15

15 + 22 < 32

37 < 32

37 is not less than 32. Therefore it doesn't belong to the solution set.

x = 5

5 + 22 < 32

27 < 32

Is 27 less than 32? Yes. Therefore, it belongs to the solution set.

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Need help ASAP! Simplify the expression so there is only one positive power for the base, -5. (The questions/answers are in the group chat.)


A.

B.

C.

D.

Answers

The correct answer is C. -5^5.

Answer: C

Step-by-step explanation:

-5^7 ➗ -5^2

(-5)^(7-2)

-5^5

Find the middle term of the expansion of (x+y)^8 a40x^2y^2 b70x^2y^2

Answers

Answer:

the middle term = 70x⁴y⁴

Step-by-step explanation:

Given;

(x+y)⁸

This expression can be expanded as follows, using Paschal triangle;

                                                 1      1

                                               1    2     1

                                             1     3      3      1

                                         1     4       6      4     1

                                    1       5     10    10       5    1

                            1           6      15     20     15     6        1

                    1            7         21      35     35      21     7          1

        1                 8          28        56     70     56    28       8         1

At level 8, the middle coefficient is 70

Also the power of x and y will be equal in the middle term = A(xⁿ yⁿ)

A = 70 ,

n +n = 8

n = 4

Thus, the middle term = 70x⁴y⁴

FInd the permiter of a square with an area of 702.25 square yards

Answers

Answer:

The perimeter of the square is 106yd

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 702.25yd²

s = side

a = s * s

we replace the values

702.25yd² = s * s

702.25yd² = s²

√(702.25yd²) = s

26.5yd = s

The side of the square is 26.5yd

Now we have to use the formula to calculate the perimeter of ​​a square

p = perimeter

s = side = 26.5yd

p = 4 * s

we replace with the known values

p = 4 * 26.5yd

p = 106yd

The perimeter of the square is 106yd

Answer:106 yards

Step-by-step explanation:

Length=L

Area=702.5

Area of square=L x L

702.5=L X L

702.5=L^2

L=√(702.5)

L=26.50

perimeter of square=4 x L

Perimeter of square=4 x 26.50

Perimeter of square=106

Perimeter of square=106 yards

Giving brainliest for CORRECT awnser.

Answers

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

~

A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.

Answers

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?

A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3​

Answers

Answer:

  C.  4x - 3

Step-by-step explanation:

The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...

  4x -3 . . . . . matches choice C

___

If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.

If a punnet of strawberries wrighs 100g, how many punnets would weigh 1 kg

Answers

Step-by-step explanation:

1kg = 1000g so

10 x 100 = 1000

So 100 punnets of strawberries weigh 1 kg

The perimeter of a rectangular is 20 centimeters the length is 6 centimeters what is the area of the rectangular

Answers

Answer:

24 centimeters

Step-by-step explanation:

Since the longer side is 6 then multiply it by 2 which is 12, now subtract it by 20 since that is its perimeter. then u divide 8 by 2 since theres 2 sides. now do 6 times 4 which is 24

please answer these, it is urgent

Answers

Answer: 1 is D

2 is c

Step-by-step explanation:

Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from

Answers

The question is incomplete:

Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A: A cylinder with height 7 inches and diameter 5 inches.

Container B: A cylinder with height 10 inches and B = 12.57 inches squared.

Container C: A cylinder with height 5.5 inches and radius 4 inches.

Container D: A cylinder with height 6 inches and radius 3 inches.

Answer:

Container B

Step-by-step explanation:

To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.

The formula to calculate the volume of a cylinder is:

V=πr^2h, where

r= radius

h= height

πr^2= base area

Container A:

The radius is half the diameter, so 5/2=2.5.

V= 3.14*(2.5^2)*7= 137.37

Cost= 137.37*0.03= 4.12

Container B:

12.57 inches is the base area, so:

V= 12.57*10= 125.7

Cost= 125.7*0.03= 3.77

Container C:

V= 3.14*(4^2)*5.5= 276.32

Cost= 276.32*0.03= 8.28

Container D:

V= 3.14*(3^2)*6

V= 169.56*0.03= 5.08

According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.

A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?

Answers

Answer:

The correct answer is 56.6666666667 second's

Answer:

56 2/3

Step-by-step explanation:

Find the 70th term of the arithmetic sequence -26, -19, -12

Answers

Answer:

  457

Step-by-step explanation:

The general term of an arithmetic sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (-26), and d is the common difference (7).

The 70th term of your sequence can be found by putting the numbers into this formula:

  a70 = -26 +7(70 -1) = -26 +483

  a70 = 457

The 70th term of the sequence is 457.

Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?

Answers

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

25 POINTS HELP ASAP , Please read question THEN answer correctly also will give BRAINLIEST! No guessing.

Answers

Answer:

B and D

Step-by-step explanation:

Simply set each factor, that is the expression in each set of brackets equal to 0;

This will give the equations that you need to solve to get the roots.

Describe a free market economy

Answers

DescriptionA market economy is an economic system in which the decisions regarding investment, production and distribution are guided by the price signals created by the forces of supply and demand.

Answer:

soviet russia

Step-by-step explanation:

just kidding

The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market

Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand

A number increased by 11 is equal to twice the number decreased by 12

Answers

Answer: 10

Step-by-step explanation:

1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

C=
5
9
(F−32)
Can someone please help me with this

Answers

Answer:

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of  

5

9

degree Celsius.

A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

A temperature increase of  

5

9

degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only

B) II only

C) III only

D) I and II only

Step-by-step explanation:

6³=216. Using exponents, write three expressions whose value is 216.

Please help I don't understand.

Answers

9514 1404 393

Answer:

  216 = 2³·3³ = 8·3³ = 27·2³

Step-by-step explanation:

6³ = 2·2·2·3·3·3

The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.

  = 2·2²·3³

  = 8·3³

  = 6·2²·3²

  = 6·6²

  = 27·2³

xin orders five identical loaves of bread

Answers

Is there anything else that goes with the question or is that it?

In a comparison of the body fat percentage of four different ethnic groups, the body fat percentage was measured for 200 African-Americans, 160 Whites, 220 Hispanics, and 310 Others. Because a comparison of average body fat percentage between these groups is desired, an ANOVA test was conducted, which resulted in p-value of 0.11. What conclusion can you make if level of significance is 0.05?

Answers

Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ[tex]_{i}[/tex] is different.

The significance level of the test is, α = 0.05.

The decision rule is:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.And if the p-value of the test is not less than the significance level, then the null hypothesis will not be rejected.

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

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