In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)

Answers

Answer 1

its c .i just took it

Answer 2

The coordinates of point M are approximately (5.7, 2.2).

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the coordinates of point M, we need to first find the coordinates of point L.

Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:

L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]

L = (-4, 1)

Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:

M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]

M = (5.5, 2)

Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).

Therefore, the coordinates of point M are approximately (5.7, 2.2).

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Related Questions

Please Help! What is the equation of the line shown in this graph?

Answers

answer
x = -2

hope it helps

since the line is vertical ( both x coordinates are -2)

the equation of the line is x=-2

HELP PLEASE 1/6 x 3/4 = ?

Answers

The answer is 0.125. If u want me to show u how its done then u can ask :>

1/6 x 3/4 =?
First we need to multiply 1 and 3 (1x3=3)
Than multiply 6 and 4 ( 6x4=24)
Conclusion: 3/24 —> need to divide by 3 both numbers and the result is 8

The temperature Saturday is -13°, and on Sunday it is -4°. Which equation would be used to show the difference in temperature from Saturday to Sunday?
-4 + 13 =
-4 - (-13) =
-4 - 13
4 + (-13)

Answers

-4 - (-13) = 9 is the answer

to change the temperature from -13 on Saturday to -4 on Sunday, you would need to add 9 degrees ( -13 + 9 = -4 )

so you need the equation that would also = 9

-4 + 13 = 9

-4 - (-13) = 9

-4 -13 = -17

4 +(-13)= -9

there are 2 equations that equal the correct change in temperature, but since both temperatures are negative ( -13 & -4)

the correct equation would also contain 2 negative numbers

so correct equation should be: -4-(-13) =

Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

The values of x in both equations are 1/26 and 1/50, respectively

How to solve for x?

The equations are linear equations.

So, the variable can be calculated by simply dividing both sides by the coefficient

Using the above as a guide, we have the following computations:

Part A: (26)x = 1

Divide both sides by 26

x = 1/26

Part B: (50)x = 1

Divide both sides by 50

x = 1/50

Hence, the values of x in both equations are 1/26 and 1/50, respectively

Answers

sqrt(135) is between

sqrt(144) which is 12 and
sqrt(121) which is 11 so

it is between 11 and 12.

Raymond has a room that is 25 and a halg foot long he wants to cut it into 6 pieces that are equal in length how long will it peace be?

Answers

To solve this problem you would need to divide 25.5 by 6 and you should get 4.25

divide 25 1/2 by 6

25 1/2 = 51/2

51/2 / 6 =

51/12 = 4 1/4

each piece is 4 1/4 feet long

Ben has collected one more marble than three times the number of marbles as jerry. together they have 229. how many marbles does ben have?

Answers

Working backwards, we first subtract 1. That is 228. Next you divide 228 by 4, which is how many parts they have in all. That is 57. 57 times 3 is how much ben has. Your answer is 171.

Final answer:

To find out the number of marbles Ben has, we set up equations based on the information given, solve for Jerry's marbles (J), and then use that to solve for Ben's marbles (B). Ben has 172 marbles.

Explanation:

Let's denote the number of marbles Jerry has as J, and the number Ben has as B. According to the problem, Ben has one more marble than three times the number of marbles Jerry has, so we can write this relationship as B = 3J + 1. Together, Ben and Jerry have a total of 229 marbles, which gives us the equation B + J = 229.

Now, we can substitute the expression for B from the first equation into the second equation to solve for J:

3J + 1 + J = 2294J + 1 = 2294J = 229 - 14J = 228J = 228 / 4J = 57

Now that we know Jerry has 57 marbles, we can find out how many marbles Ben has:

B = 3(57) + 1B = 171 + 1B = 172

Therefore, Ben has 172 marbles.

-3 3/8 - 7/8 in simplest form

Answers

First, you would want to make -3 3/8 an improper fraction. To do that you would multiply the denominator by the whole number, then add that number to the numerator. That would make the improper fraction -27/7. You would then subtract 7/8 from -27/8 which would make the answer -34/8. Then simplifying it you would get -4 1/4.

A new jacket cost $50. A customer pays with a combination of 10-,5-, and1- dollar bills. She pays with 5 of one kind of bill and then same number of each of the other bills. What combination of bills does she give the cashier.

Answers

5 one dollars, 3 ten dollars and 3 five dollars

Sharon buys 14 folders for 0.75 dollars each how much change she will
receive if she pays for $15

Answers

0.75 x 14 = 10.50
15 - 10.50 = 4.50
your answer is : Sharon will receive $4.50 change

In the number 0.561 which is the hundredths place

Answers

Hello There!

After the decimal point it goes: tenths, hundredths, thousandths, tens thousandths etc...
In the hundredths place is the '6'

Hope This Helps You!
Good Luck :)

- Hannah ❤

56.1

you move the decimal two places to the right.

one recipe for pancakes says to use 1 1/2 cups of mix to make 7 pancakes. How much mix is needed to make 35 pancakes

Answers

The answer is 7 1/2 cups of mix.

If we need to have 3/4 cup of milk for a whole recipe
For half of it, we will multiply 3/4 by 1/2 to get the result.

3/4 x 1/2 = 3/8

To make half the recipe, we need only 3/8 of a cup of milk.
The information 1 cup of pancake mix is irrelevant because the question asks only about how much milk is needed.

Find the reciprocal. Show that the product of the mixed number and the reciprocal is 1.
1) 10 1/2
2) 6 3/7
3) 2 8/9

Answers

The product of the mixed number is #1

What is the quotient of 15p^-4 q^-6/-20p^-12 q^-3 in simplifed form?

Answers

In this question, you have two variable p and q. To simplify it, you need to divide each variable which will result in subtracting the power/exponent. Since all the exponent is a minus, it will be easier to switch the position first. The calculation should be:

15 * p^-4 * q^-6 / -20 * p^-12 * q^-3=
15 * p^12 * q^3 / -20 * p^4 * q^6=
15 /-20 * p^(12-4) * q^(3-6)=
-3 /4 * p^8 * q *-3=
-3 * p^8/ q^3

Samantha has $200 to spend on school clothes. She can buy two designer blouses that all of her friends have, or she can buy four generic blouses for the same amount. She decides to buy the designer blouses. What is Samantha’s motivation behind buying the designer blouses?
conspicuous consumption
consideration for the future
confusion of needs and wants
desire to get the best deal

Answers

the answer would be conspicuous consumption because she wanted to be like her friends.

Answer: A. conspicuous consumption

Step-by-step explanation:

The vertices of pentagon JKLMN are listed below. What is the approximate perimeter of the pentagon? A. 10.16 units B. 20.31 units C. 15.31 units D. 40.62 units

Answers

Final answer:

The exact perimeter of pentagon JKLMN could not be calculated without the lengths of its sides. One would add the lengths of all sides for a polygon, while for a rectangle, such as a town square, the perimeter formula is twice the sum of its length and width.

Explanation:

To calculate the perimeter of a pentagon, you need to add the lengths of all its sides. Unfortunately, the specific lengths of the sides of pentagon JKLMN were not provided, so I cannot calculate the exact perimeter. However, I can explain how you would find the perimeter if the side lengths were known. If you have the coordinates of the vertices, you can use the distance formula to find the lengths of the sides between each pair of vertices. Then you would add those lengths together to find the total perimeter. On the other hand, if the pentagon is regular (all sides and angles are equal), you would just multiply the length of one side by 5.

You also provided an example of calculating the perimeter of a rectangle which has a formula of perimeter = 2(length + width). If we use this formula with the given dimensions of the town square, the perimeter would be 2(39.2 meters + 17.5 meters) = 2(56.7 meters) = 113.4 meters.

Final answer:

To find the approximate perimeter of pentagon JKLMN, we add up the given lengths of its sides. Using the information provided, we can estimate that the approximate perimeter of the pentagon is 840,000 km.

Explanation:

The perimeter of a polygon is the sum of the lengths of its sides. To find the approximate perimeter of pentagon JKLMN, we need to know the lengths of all its sides.

Since we are not given the lengths of the sides directly, it is not possible to compute the exact perimeter. However, we can use the information provided to find the approximate perimeter.

Using the given information, we know that the perimeter of the pentagon is approximately equal to 200,000 km + 100,000 km + 300,000 km + 240,000 km. Evaluating this expression gives us an approximate perimeter of 840,000 km.

Therefore, the correct answer is D. 40.62 units.

Which table shows s decreasing linear relationship

Answers

B; usually anytime there are negative numbers, 9 times out of 10 the line is decreasing

The decreasing linear relationship is shown in table 1. The correct option is A.

What is a linear relationship?

The linear relation is defined as the variation of the variables by a constant factor with the different values of variables x and y.

The given table is,

X Y

4 10

7 17

10 18

13 22

The linear relation will be calculated as:-

y = kx

k = y / x

k = 10 / 4 = 2.5

k = 17 / 7 = 2.42

k = 18 / 10

k = 1.8

k = 22 / 13 = 1.69

The slope will be,

m = ( 17 - 10 ) / ( 7 - 4 ) = 7 / 3

Therefore, table 1 depicts the decreasing linear relationship. A is the correct answer.

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Name the ordered pair that is a reflection of each point across the x axis(-2, 5) show work

Answers

it would become (2,5) because if the number for the x-axis is a negative at first and you reflect it across the x-axis then it would become a positive.

Final answer:

The reflection of the point (-2,5) across the x-axis results in the point (-2,-5), as reflecting a point across the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same.

Explanation:

In mathematics, reflecting a point across the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. To find the reflection of the point (-2,5) across the x-axis, we simply change the sign of the y-coordinate from positive 5 to negative 5, while keeping the x-coordinate -2 the same. Thus, the point (-2,5) reflects across the x-axis to (-2,-5).

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Share a reward of $140 in a ratio of 2:5

Answers

So first we divide 140 by 7 because our ratio is a total of 7 dollars to get 20
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140

The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.

Answers

Let the price of book x. That's the cost the book dealer.

He wants to earn some money while selling it, so he listed the book by a new price, 91 $

He added two-fifth (2/5) price to its initial price. In other words, its new price is 40 % more expensive. (2/5 = x /100)

Here is the equation in words,
initial price + 2/5 of the initial price = 91

by equation: x + 2/5 x =91

multiply both sides by 5, to eliminate the denominator:

5x +2x = 91.5 ; 7x = 455

divide both sides by 7 to simply coefficient of x: x= 65

The answer is 65$.

Answer:

The cost to book dealer is $65

Step-by-step explanation:

Given : The price of an antique book is $91.

The price is two - fifth more than the cost to book dealer.

To Find : Cost.

Solution :

Let the cost to book dealer be x

The price of an antique book is $91.

Two - fifth of the dealer cost : [tex]\frac{2}{5}x[/tex]

Since we are given that price is two - fifth more than the cost to book dealer.

⇒[tex]x+\frac{2}{5}x=91[/tex]

⇒[tex]\frac{7}{5}x=91[/tex]

⇒[tex]x=\frac{91*5}{7}[/tex]

⇒[tex]x=\frac{455}{7}[/tex]

⇒[tex]x=65[/tex]

Hence , The cost to book dealer is $65

Give a rule in terms of n for the sum of the first n even positive integers

Answers

sum of first n positive integers = [n(n+1)]/2

Help me with this question please.

Answers

Answer:

(D) 3x +6 ≤ 3

Step-by-step explanation:

Since there is a solid dot at x=-1, the inequality must include "≤", which eliminates the first two choices.

You can check x=-1 in each of the remaining choices to see which results in the "equal to" case.

2(-1) +5 ≤ 1 . . . . . choice C

3 ≤ 1 . . . . . . . . . . .not true

3(-1) +6 ≤ 3 . . . . . choice D

3 ≤ 3 . . . . . . . . . . true; the "equal to" case we're looking for

what is 3 2/3 plus 2 1/6 and simplify if needed would help also

Answers

5 5/6
It can't be simplified.
Hope this helped.
Have a nice day.

Hi.

Before we add the fractions, we have to make sure denominators are the same numbers. 3 goes into 6, so the denominators will change to 6.

Oh, and the numerator of the fraction we changed also changes.

[tex]3 \frac{4}{6} + 2\frac{1}{6} = 5\frac{5}{6} [/tex]

Hope this helped you understand! Let me know if you didn't.

~

A record album is 3/16 of an inch thick. How many albums can be stacked to fit in a box 12 inches high? Please show me how you got you answer explain

Answers

Final answer:

In order to find out how many albums will fit in the box, divide the total height of the box by the thickness of one album. This resulted in a total of 64 albums.

Explanation:

The problem involves determining the number of record albums that can be stacked into a box with a height of 12 inches. Each album is 3/16 of an inch thick. To find the number of albums, you will need to divide the total height of the box, which is 12 inches, by the thickness of one album.

Here is the calculation: 12 ÷ (3/16) = 12 ÷ 0.1875 = 64.

Therefore, you can fit 64 albums in a 12-inch high box. Remember, this involves simple division and understanding of fractions and their decimal equivalents.

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is 5901 and natural,integer,rational or irrational

Answers

Integer, because 5,901 is a whole number. Integers = Whole numbers with no decimals(which in this case, yes, it has no decimal)

Integer shxjskckslxlalw

A recipe for two dozen cookies calls for 1 1/3 cups of flour. How much flour would be needed to make five dozen cookies? Please show me how you got your answer explain.

Answers

First I would turn the 1 1/3 cups into an improper fraction. That makes the math a little easier. 1 1/3 = 4/3. You know that 4/3 cups makes two dozen cookies. So, if you take half of 4/3 which is 2/3 that is how many cups it takes to make one dozen. Then to find how many cups it would take to make 5 dozen just multiply 2/3 by 5 to get 10/3 or 3 1/3!

Answer: 10/3 or 3 1 /

Step-by-step explanation:

First ywould turn the 1 1/3 cups into an improper fraction. That makes the math a little easier. 1 1/3 = 4/3. You know that 4/3 cups makes two dozen cookies. So, if you take half of 4/3 which is 2/3 that is how many cups it takes to make one dozen. Then to find how many cups it would take to make 5 dozen just multiply 2/3 by 5 to get 10/3 or 3 1/3

6. You are the manufacturer of chain saws and are prepared to replace free all saws that fail while under guarantee. If you are willing to replace only 3% of the saws that fail, how long a guarantee should you offer? Assume that you know that the lives of the saws follow a normal distribution with an average of 12 years and a standard deviation of 2 years.

Answers

If I'm correct the answer is 17

Read the following statements:
I. All trapezoids have two pairs of parallel sides.
II. All trapezoids have two pairs of equal angles.
III. All trapezoids have one pair of parallel sides.
Which of the above statements are true?
II and III only
III only
I and II only
II only

Answers

III only is the correct answer

the answer is all trapezoids have one pair of parallel sides.

you buy some living room furniture: couch=$499.99 , loveseat=$239.49 and rocker=139.73. How much is your total purchase ?

Answers

the answer is $879.21
adding $499.99 + $239.49 + $139.73 = $879.21

Just use a calculator

Helppppppppppppppppppppppppppppppppp

Answers

i believe answer is grin
hope it helps

im 100% sure its b) Grin

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