find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally

Answers

Answer 1

Answer:

Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]

Step-by-step explanation:

Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2

Given:

Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2

ToFind:

Coordinate of 0 (zero)

Solution:

ATQ,

[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])

As we know that,

[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]

[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]

[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]

[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]

Similarly,

[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]

[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]

[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]

Hence,

Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]


Related Questions

what is the value of x when y=10?​

Answers

Answer:

x would be 1

Step-by-step explanation:

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Answers

i think it’s answer 8

Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30%. How many
triangles can you construct using these measurements?
А.0
В.1
C.2
D. infinitely many

Answers

Answer:

D. infinitely many

Step-by-step explanation:

I assume that percentage sign is a degree symbol.

If there are only two sides given, there can be an infinite amount of triangles


If u get this right I’ll mark u as brainlist

Answers

Answer:

c

Step-by-step explanation:

A student pays for pounds of apples with a ​$ bill. How much change does the student​ receive? Answer parts a and b. a. What do you do first to solve the​ problem? ▼ the number of pounds of apples by the price per pound

Answers

A student pays for 8.9 pounds of apples with a 10$ bill. Its $1.09 per pound. How much change does the student receive? What do you do first to solve the​ problem?

Answer:

$0.299

Step-by-step explanation:

Given that :

Pounds of apple purchased = 8.9 pounds

Price per pounds of apple = $1.09

Bill issued = $10

First, we calculate the total cost of 8.9 pounds of apple :

(Number of pounds * price per pound)

($8.9 * 1.09) = $9.701

Amount of Change :

Bill issued - total cost

$10 - $9.701

= $0.299

Which of the following is a function? *
{(5, 0), (0, −8), (5, −5)}
{ 5, 0, -8. -5}
Option 5
{(5, 0), (0, 5), (−5, −5)}
{(5, 0), (−8, −5), (−8, 5), (−5, −8)}

Answers

{(5,0),(0,5),(-5,-5)}

Answer:

{(5,0),(0,5),(-5,-5)}

Step-by-step explanation:

If the m =1/2 and the b = -2, then the linear equation is

Answers

Answer: y=  1/2x - 2

Step-by-step explanation:

y= mx+b

m= 1/2 (plug it in)

b= -2 (plug it in)

x= ?

hi need help with math
some one help

Answers

Answer:

Ether C or D. hope this helps

Plz help!! I’m a bit confused

Answers

The slope is -2. It goes down 2 and 1 to the left

Click on photo if neccessary ​

Answers

it should’ve be c because the other are not on the same point and those are the closest i believe

I have a limited time ​

Answers

Answer:

11

Step-by-step explanation:

following data, what would be the value of x?

Answers

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

can someone please help me

Answers

the answer is 2p - 4 :)

Answer:

I think it's -2p or 2p-4


Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(

Answers

Next time study more! I know its hard but you can do it keep trying ur best :)

v-20 in radical from​

Answers

Answer: V - 20

Step-by-step explanation: Hope this helps

Select all ratios equivalent to 5:10 select all that apply

Answers

Answer:

8:16 and 7:14

Step-by-step explanation:

5:10 is a 1 to 2 ratio and so are 8:16 and 7:14

Answer:

8:16 and 7:14

Step-by-step explanation:

It is a half and half ratio

How would you use a table to graph –3x + 4y = 23?

Answers

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed




Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?

Answers

Answer:

24

Step-by-step explanation:

Answer:

Angie is thinking of the number 24.

Explanation:

24 can be divided into 8 three times & can be divided by 12 only two times.

Find the measure of angle A

Answers

Answer:

43°

Step-by-step explanation:

(x + 53)° + (x + 74)° + 73° = 180°

(x + 53 + x + 74)° = 180° - 73°

(2x + 127)° = 107°

2x + 127 = 107

2x = 107 - 127

2x = - 20

x = - 20/2

x = - 10

[tex]m\angle A = (x +53)\degree \\\\

m\angle A = (-10 +53)\degree \\\\

m\angle A = 43\degree \\\\

[/tex]

Factor the following expression: x^2+3x

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] = {x}^{2} + 3x[/tex]

~ Take "X" common.

=[tex]x(x + 3)[/tex]

Therefore, "x" and "x+3" are the factors if the expression.

Hope it helps...

question is attached!​

Answers

Answer:

$3,000 was invested in the account that gained 13%

$17,500 was invested in the account that lost 10%

Step-by-step explanation:

Let the amount in both accounts be x and y

x for the first and y for the second

Adding both is 20,500

x + y = 20,500 •••••(i)

First account earned 13% profit

= 13/100 * x = 0.13x

Second account, a loss of 10%

= -10/100 * y = -0.1y

Total loss of -1,360

This is;

-0.1y + 0.13x = -1,360 •••••••(ii)

From i, x = 20,500-y

Insert this into ii

-0.1y + 0.13(20,500-y) = -1,360

-0.1y + 2665 -0.13y = -1360

-0.23y = -1360-2665

-0.23y = -4025

y = -4025/-0.23

y = 17,500

To get x, we have

x = 20,500 -y

x = 20,500- 17,500

x = 3,000

Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21

Answers

Answer:

d.21

Step-by-step explanation:

840/40=21

Answer:

21 Weeks

Step-by-step explanation:

$840 ÷ 4 weeks = 21

You can also reverse work this by multiplying $40 by the other choices!

$40 x 40 = $1600

$40 x 35 = $1400

$40 x 32 = $1280

$40 x 21 = $840

As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Help pleaseeeeeeeeeeee.

Answers

Answer:

(-10, 9)

Step-by-step explanation:

9x+9y=-9

Use substitution method

9(-10)+9y=-9

Order of operations(PEMDAS)

-90+9y=-9

Add 90 to both sides

(-90+90)+9y= -9+90

9y=81

Divide 9 from both sides

(9/9)y=81/9

y=9

Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.

Answer:

Step-by-step explanation:

in this case, we already know that x=   -10 so we can substitute in the other problem, -10x9 = -90 so now we can get rid of that by adding + 90 on each side making it 9y=81 by this time, we see that both sides are divisable by 9 divide both by nine and you get: 1y=9 from that you can finally answer the question with

x= -10 y= 9

What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16

Answers

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

Please help!! And show work please! I'll give brainlist..!

Answers

what you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value

NEED ANSWER PLEASE WILL GIVE BRAINLIEST

Let fx) = 8x-7.
What is f4)?

Answers

Answer:

f(x)=25

Step-by-step explanation:

f(x)=8x-7

f(4)=8.4-7

f(4)=32-7

f(4)=25

Answer: f(4) = 25

Explanation:

f(x) = 8x - 7

To find f(4) simply replace x with 4 and u can do the calculation

f(4) = 8(4) - 7
f(4) = 32 - 7
f(4) = 25

I need a quick asnwer!!!

Answers

Answer:

third one

Step-by-step explanation:

Answer:

Its the third one you welcome

Step-by-step explanation:

12- [3 - (13) * 2]
I need work shown

Answers

Answer:

35

Step-by-step explanation:

Answer:

12−(3−(13)(2))

=12−(3−26)

=12−(−23)

=35

Step-by-step explanation:

Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.

Answers

Answer:

40-5x

Step-by-step explanation:

Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression

What is the initial value of the exponential function represented by the table?

One-eighth
One-fourth
One-half
1

Answers

One half aqa 1/2 thanks me later
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