What are the coordinates of the point on the directed line segment from (–9, -7) to
(-2,7) that partitions the segment into a ratio of 3 to 4?

Answers

Answer 1

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: [tex]\frac{bx_1+ax_2}{a+b}[/tex] and

y coordinate: [tex]\frac{by_1+ay_2}{a+b}[/tex]

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

[tex]\frac{4(-9)+3(-2)}{7}[/tex] which simplifies down to -6, and

the y coordinate of the directed point is

[tex]\frac{4(-7)+3(7)}{7}[/tex] which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

Answer 2

The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

To find the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4, we need to use the formula.

[tex]P = ( (4x_2 + 3x_1)/(4+3), (4y_2 + 3y_1)/(4 + 3) )[/tex]

where P is the point we're looking for, (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the segment, and the numbers 4 and 3 come from the ratio 3 to 4.

Plugging in the values.

P = ( (4 x (-2) + 3 x (-9))/(4 + 3), (47 + 3(-7))/(4 + 3) )

Simplifying.

P = (-5, 1)

Therefore,

The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2


Related Questions

Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]

(5,0)
(0,5)
(-2,5)
(-5,2)

Answers

Answer:

Option A: (5,0)

Step-by-step explanation:

Given

[tex]y \leq \frac{2}{5}x-2[/tex]

Required

Select an ordered pair

Option A: (5,0)

This means

[tex]x = 5[/tex] [tex]y = 0[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]

[tex]0 \leq 2 - 2[/tex]

[tex]0 \leq 0[/tex]

This is a true statement.

Option B: (0,5)

This means

[tex]x = 0[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* 0 -2[/tex]

[tex]5 \leq 0 -2[/tex]

[tex]5 \leq -2[/tex]

This is a false statement.

Option C: (-2,5)

This means

[tex]x=-2[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* -2 -2[/tex]

[tex]5 \leq \frac{-4}{5} -2[/tex]

[tex]5 \leq \frac{-4-10}{5}[/tex]

[tex]5 \leq \frac{-14}{5}[/tex]

[tex]5 \leq -2.8[/tex]

This is a false statement.

Option D: (-5,2)

This means

[tex]x=-5[/tex]   [tex]y = 2[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]2 \leq \frac{2}{5}* -5 -2[/tex]

[tex]2 \leq -2 -2[/tex]

[tex]2 \leq -4[/tex]

This is a false statement.

Only option A represents a true statement,

Hence, option A is a solution to the inequality

The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

23.78

........................

You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?

Answers are in standard notation

Answers

Answer: Aproxamatly  18.999999999999999

Step-by-step explanation:

find the values of a,b, or c for y = x^2 - 9x +18 please help!!

Answers

Answer:

It's X^1 = 3, x^2 =6  

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

1/8 paintings per week

Step-by-step explanation:

If the artist completes 1/4 of a painting in 2 weeks, then in half the time (1 week), the artist will complete half the work which is 1/8.

Hope this helps :)

The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?

help plzzz due in 15 min i have moe questions left

Answers

What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number

An ice cream shops uses 28 gallons of milk daily. How many cups of milik does the ice cream shop use daily
448 cups
44 cups
112 cups
0328 049

Answers

448... hope that helps lol
The answer is 448. Hope that helps

Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?

Answers

Answer:

40 years old

Step-by-step explanation:

If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.

15 / 3 = 5 years

5 years = 1/8

Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.

5 years * 8 = 40 years old

Complete the conversion. Enter your answer in the box
8 pt =
С

Answers

It is one gallon because in half of a gallon it is 4 pt and 8pt = one gallon

find the slope please help!

Answers

Answer:

-1/5

Step-by-step explanation:

We are given 3 points, (-3, 1), (2, 0), and (3, 3). We only need two to solve for the slope using the formula [ y2-y1/x2-x1 ].

0-1/2-(-3)

-1/5

Best of Luck!

HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE

Answers

Answer:

as x increases, y increses

the parabola grows wider and taller, meaning that the y and x values will both increase:)

Answer:

B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)

HELP PLS! It’s question 15

Answers

Answer:

A: C = 15N

Step-by-step explanation:

30/2 = 15 (the cost of 1 class)

help i asked this 3 times i will do brainliest no troll answers!

Answers

Answer:

Number two

Exact Form:

11/2

Decimal Form:

5.5

Mixed Number Form:

5

1/2

Step-by-step explanation:

sorry I do not know one hope this helps please mark brainliest

Hi! Can someone please help me with these two questions??!! Thank you so much!

Answers

Answer:

it is b, 42 units² I'm sure

TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon? ​

Answers

Answer:

this makes no sense she can make any bows

1
2
3
4
5
6
9
Which expression is equivalent to 5(w+4) when w=g?
O 5(9)
O 915)
05(9)+4
O 5(9) +20

Answers

5(9)+4 because they are just substituting

Liza and Kelly rode their bikes everyday for five days. They each rode the same distance everyday. Lisa rode 60 miles in all and Kelly rode 25 miles in all. How many more miles per day did Lisa ride than Kelly?​

Answers

Answer:

60/5=12  25/5=5   7 more miles a day

Step-by-step explanation:

plzz mark brainiest

3200 dollars is placed in an account with an annual interest rate of 8.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 9600
dollars?

Hello, I come from the deltamath past to help you, in the deltamath future. It’s 13.9

Answers

It takes 24 years for the account value to reach the $9600.
Step-by-step explanation:
From the given data, it can be determined that :
Amount = $9600
Principal = $3200
Rate = 8.25% = 0.0825
Number of years should be calculated.
To find the interest :
Amount = Principal + Interest
Therefore, the interest can be calculated by the formula,
Interest = Amount - Principal
⇒ 9600 - 3200
⇒ 6400
The interest needed is 6400.
To find the number of years required to reach this interest :
Use the formula for simple interest,
Simple interest = Pnr /100
where,
P is the principal
n is the number of years
r is the rate
Substitute all the given values in the simple interest formula,
Simple interest = 3200 × n × 0.0825
6400 = 264 n
n = 6400 / 264
n = 24.2 which is approximately 24 years.
Therefore, it takes 24 years for the account value of 3200 dollars to reach 9600 dollars.
1000 is 20 also YUP yeah

Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.

Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1

Answers

Answer:

Step-by-step explanation:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Solve.
6x - 28 =-76. X=

Answers

6x-28=-76
+28 +28
6x = -48
-48 divided by 6
X=-8

Answer:

6x-28+28=-76+28

6x=-48

6x÷6=x

-48÷6 =-8

x=-8

Step-by-step explanation:

correct me or wrong


Which choice could be used in proving that the given triangles are similar?

Answers

Answer: . To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent

Step-by-step explanation:

SSS similarity postulate

The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.

In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.

i.e.

Then by SSS-similarity criteria , we have

ΔABC ≈ ΔXYZ

BRAINLIEST PLEASE????

Answer: the answer is A

Step-by-step explanation: I just took it on usa test prep

The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?

Answers

Answer:

No

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

Help me pleaseee (10 points)

Answers

Answer:

Step-by-step explanation:

tan(16)=125/a

tan(16)=35.8 (DC)

tan(7)=125/a

tan(7)=15.3

35.8-15.3=20.5

Sorry if that's incorrect, my best is 20.5 feet.

Answer:   approximately 582 feet.

======================================================

Work Shown:

Let

x = length of AD in feet

y = length of DC in feet

x and y are positive real numbers.

For now, focus on triangle BCD. Ignore point A and its associated angle.

tan(angle) = opposite/adjacent

tan(D) = BC/DC

tan(16) = 125/y

y*tan(16) = 125

y = 125/tan(16)

y = 435.926805480113

y = 435.926805

The value of y is approximate

Now focus on triangle ABC. Ignore point D and its associated angle.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = BC/(AD+DC)

tan(7) = 125/(x + y)

(x+y)*tan(7) = 125

x*tan(7) + y*tan(7) = 125

x*tan(7) = 125 - y*tan(7)

x = ( 125-y*tan(7) )/( tan(7) )

x = ( 125-435.926805*tan(7) )/( tan(7) )

x = 582.116498496824

x = 582

The distance from A to D is approximately 582 feet.

pls help will give brianlist

Answers

Answer:

Not equivalent

Step-by-step explanation:

5:3

15:12 simplified = 5:4

Answer:

They6 are. Not equivalent because you always have to multiply/ divide the ratios by the same number thats on the top and the bottom.

Step-by-step explanation:

A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.

Answers

Answer:

5(6x+9)

Step-by-step explanation:

(30x+45)

30=(5)6x

45=(5)9

5(6x+9)

please help I will have to do 7th-grade again if I don't pass I need help
please answer the questions below so I don't fail
it is do tomorrow

Answers

Answer:

number7 9452.425 and number 4 2 hrs

Step-by-step explanation:

85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15

find what 30percent of 400 it is 120 if hes going 60 mph:

120/60 is 2

so it took him 2 hrs

Can someone please explain this to me and help me

Answers

Answer:

ok

Step-by-step explanation:

Triangles have to = 180

There are 26 letters in the
alphabet. What is the probability
that a letter chosen at random is
not in the word ENCYCLOPEDIA?

Answers

Answer:

1/12 chance

Step-by-step explanation:

Encyclopedia

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

The bold letters are the letters in the word Encyclopedia.

A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 65.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.

Answers

Answer:

3560.622 yr

Step-by-step explanation:

See the attachment for calculation details

Solve for w. You must write your answer in fully simplified form.
19 = -8w

Answers

Answer:

The answer is 11

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