Given the points A(-2, 5) and B(2, 3), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 4 to 1.

Answers

Answer 1

Answer:

The answer to your question is:  Point (-1/2 , 17/4)

Step-by-step explanation:

Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4

Answer 2

The coordinates of the point P is (6/5, 17/5).

Given that, the points A(-2, 5) and B(2, 3) and the line segment divided in the ratio 4:1.

What is the section formula?

The Section formula is used to find the coordinates of the point that divides a line segment (externally or internally) into some ratio.

The section formula is [tex]P(x,y)=(\frac{mx_{2}+nx_{1} }{m+n}, \frac{my_{2}+ny_{1} }{m+n} )[/tex].

Here, m:n=4:1, (x1, y1)=(-2, 5) and (x2, y2)=(2, 3)

Now, P(x, y) = [tex](\frac{4\times 2+1 \times (-2)}{4+1} , \frac{4\times 3+1 \times 5}{4+1} )[/tex]

=(6/5, 17/5)

Therefore, the coordinates of the point P is (6/5, 17/5).

To learn more about the coordinate geometry visit:

https://brainly.com/question/18269861.

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Related Questions

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors

1.) x^2-4x-60 = (x-10) (x+6)

2.) x^2+10x+24 = (x+4)(x+6)

What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12

Answers

Answer:

Step-by-step explanation:

You need to set up a proportion.

(21 - 15) / 21  = 4/(x + 4)

6 / 21 = 4/(x + 4)

2/7 = 4/(x + 4)

2(x + 4) = 7*4

2x + 8 = 28

2x + 8-8= 28 - 8

2x = 20

x = 20/2

x = 10

An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?

Answers

Answer

I think 55 times

Step-by-step explanation:

13,200/1,200 = 11

5/1200 =  x/13,200

so if 1,200*11=13, 200 then 5*11= 55.

btw , could u give me the brainliest if i am right?

The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.

Given :

Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.

The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:

Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.

Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.

Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:

[tex]=\dfrac{13200}{1200}\times 5[/tex]

= 55 times

Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:

[tex]=\dfrac{55}{5}\times 1[/tex]

= 11 days

For more information, refer to the link given below:

https://brainly.com/question/25834626

this app is so useless!

Answers

Answer:

lol ik people dont even come to answer the questions they just come for the points...

Step-by-step explanation:

Answer:

sometimes it is but it helps people cheat soo....

Step-by-step explanation:

Evaluate |x + y|, for x = 8 and y = -15.

23
7
-7
-23

Answers

Answer:

the answer is 7... ....

Answer:

Today : Saturday, 07 November 2020

Hour: 14.34 WIB (Indonesia)

_______________________________

|x + y|

= |8 + (-15)|

= |-7|

= 7 {Option B}

Which answer choice shows 12.473 rounded to the nearest half?
A. 13.5
B. 13
C. 12.5
D. 12

Answers

Answer:

C. 12.5

Step-by-step explanation:

If you round it into the nearest half, you'll get 12.5.

Help me out here pleaseeeeeeeee.

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5

=[tex]\frac{1}{2}[/tex]

[tex]\frac{4}{5}[/tex] ← is in simplest form

[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2

= [tex]\frac{3}{5}[/tex]

[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4

= [tex]\frac{2}{3}[/tex]

[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form

Write the equation of the line in y = mx + b form.
I need help

Answers

wouldn’t it be y=-4x+1
Answer:  y = -4x+1

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

Explanation:

The two points on this line are (-1,5) and (0,1)

Let's use the slope formula

m = (y2-y1)/(x2-x1)

m = (1-5)/(0-(-1))

m = (1-5)/(0+1)

m = -4/1

m = -4

The slope is m = -4

If we started at (-1,5) and moved down 4 and to the right 1, then we arrive at (0,1). The motion "down 4, right 1" is directly tied to the slope -4 since -4 = -4/1 = rise/run

The y intercept is b = 1 since this is the location where the graph crosses the y axis.

With m = -4 and b = 1, we go from y = mx+b to y = -4x+1

use the line tool and select two points to graph the line
graph f (x) = - 1.5x +6
PLEASE HELP !!!​

Answers

Answer:

Step-by-step explanation:


A line has an y-intercept of (0,2) and a slope of 3. The point of (a, 11) is also on the line. What
is the value of a? *
(1 Point)
a.)a=1
b.)a=3
c.)a=5
d.)a=4

Answers

the answer is B, a=3

plz show work....hellp

Answers

Answer:

f(-12) = -15

Step-by-step explanation:

f (-12)

we put -12 in place of x

-12 - 3 = -15

so, f(-12) = -15

which of the following is the value of the expression 2x exponent2+1,when x =2

Answers

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

danny

Step-by-step explanation:

Danny charges $11 a hour while martin charges $18 a hour

Answer:

Danny offers a better deal

Step-by-step explanation:

Because you have to find out how much each person is charging for each hour of swimming lessons divide Danny's $22 by 2 to get $11 for one hour. And divide Martin's $90 by 5 to get $18 for one hour. Danny is giving you a better deal than Martin.

PLEASE HELP ME I AM PAYING 100 POINTS!!

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.



1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?


Write your answer in the space below.




2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?


Write your answer in the space below.


no scams!

Answers

the total tax is 4.50 dollars, yes it is the same because they are the basically the same equation .

the original expression
1. Both the expanded and original have the tax pf $4.50

2. The original
:)

There are 8 big fish for every___ small fish.
There are 4 big fish for every
___ small fish.

Answers

There are 8 big fish for every 10 small fish, ..... 5 small fish.

There are 4 big fish for every 5 small fish.

What is proportion?

The ratio of two numbers a and b is given by a divided by b and represented by a/b or a:b. While the proportion is the relation between two ratios of a/b and c/d is represented by a:b::c:d or a/b=c/d.

Given that, there are 8 big fish for every 10 small fish, we need to find how many are there for 4 big fish for every.

We will solve this by using proportion,

Let the number of small fishes be x

Therefore,

8 / 10 = 4 / x

x = 5

Hence, there are 5 small fish for every 4 big fishes.

Learn more about proportion, click;

https://brainly.com/question/3254974

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Colleen compared the ratios 3:8 and One-half. Her work is shown below.


Write the ratios as fractions: Three-eighths and One-half

The common denominator is 8.

Write each fraction using the common denominator: Three-eighths and One-eighth

Compare the numerators: 3 > 1

Write the correct statement: Three-eighths > One-half


Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8.

B. The numerators are compared incorrectly.

C. The fraction One-half should have been rewritten as 6 Over 8

D. The fraction One-half should have been rewritten as 4 Over 8

Answers

Answer: d

Step-by-step explanation: just took the test

(4,1) & (6, 7)
Write the equation in point slope form

Answers

mi pan susususususu mi pan...

Point Slop Form Answer: Y - 1 = 3 • (x - 4)

Help please I’ll give you 25 points

Answers

Answer:

=x3y+8

Step-by-step explanation:

The answer to your question is in the picture ❤️

Find the third side in simplest radical form:
1&3

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\[/tex]

HELPPPPPPP ASAPPP
Tim bought a box of chocolates for $ 650 and sold it to Tom at a profit of $ 75. Find the selling price.​

Answers

Answer:

725$ give brainliest ;)

Step-by-step explanation:

what is the 9th term of the linear sequence below 2 5 8 11 14​

Answers

answer is 26!
the difference from each increment is +3 and since you’re trying to find the 9th term there will be 8 ‘gaps’ so u multiply 8 by 3 to find the total increase before adding it to 2, which is the initial no.

2 + (3x8) = 26

The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?

Answers

Answer:

26 boys and 39 girls

Step-by-step explanation:

if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.

6x100 + 1x10 + 7x1 + 9x1 +2x1

Answers

Answer:

628

Step-by-step explanation:

Well, if you x's are multiplication signs, then the answer is 628 because

6x100=600, 1x10=10, 7x1=7,  9x1=9, 2x1=2 and then add them all up:

600+10+7+9+2=628

Answer:

628

Step-by-step explanation:

6x100= 600

1x10= 10

7x1= 7

9x1= 9

2x1= 2

600 + 10 = 610

7 + 9 = 16

16 + 2 = 18

610 + 18 = 628

Which of the below images is a translation of ........

Answers

Answer:

B

Step-by-step explanation:

Cause it's the opposite of the original

Answer:

a

Step-by-step explanation:

is the square root of 42.25​

Answers

Answer: It’s 6.5

Step-by-step explanation: Bruh just look it up on google

On the Guardian lines a and B

Answers

Answer:

2 and - 1

Step-by-step explanation:

Calculate the gradients using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, -3) and (x₂, y₂ ) = (3, 7) ← 2 points on line A

[tex]m_{A}[/tex] = [tex]\frac{7+3}{3+2}[/tex] = [tex]\frac{10}{5}[/tex] = 2

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (7, - 2) ← 2 points on line B

[tex]m_{B}[/tex] = [tex]\frac{-2-7}{7+2}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

Help me with this tooo! It is the question that is not filled in

Answers

you will have 8 tables so

72 chair / 8 tables = 9 chair per table

What is the output of this function when the input is 0?

Answers

The output or y is 1

Please help I have limited time!!

The slope of a line is 6 and it goes through the point (4,5), which function is best
represented by this graph?
y = 6x - 29
y = 6x + 19
y = 6x - 19
y =6x + 29

Answers

Answer:

[tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

Step-by-step explanation:

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

Given

m = 6 and the point (4, 5)

substituting the values in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = 6 (x - 4)[/tex]

[tex]y - 5 = 6x-24[/tex]

[tex]y=6x+5-24[/tex]

[tex]y=6x-19[/tex]

Therefore, [tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

You are given a line that has a slope of 4 and passes through the point (StartFraction 3 Over 8 EndFraction, one-half). Which statements about the equation of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y = 4 x minus 1.
The point-slope equation is y minus StartFraction 3 Over 8 EndFraction = 4 (x minus one-half).
The Point (StartFraction 3 Over 8 EndFraction, one-half) corresponds to (x1, y1) in the point-slope form of the equation.

Answers

Answer:

a,b,d

Step-by-step explanation:

Answer:

a,b,d

Step-by-step explanation:

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