Given a point P(8,1) on segment AB with A(-2,3), find the coordinates of B if ap/ab=2/3. The answer should be entered in the form (x,y) without any spaces between characters

Answers

Answer 1

Answer:

The coordinates of point B are (23,-2)

Step-by-step explanation:

Mathematically, what this question is telling us is that the point P divides the segment AB in the ratio 2:3

We are now tasked with finding the coordinates of point B

For point P to have divided the segment in that particular ratio, then, internal division formula would have been used.

Mathematically, the internal division formula is given as;

(x,y) = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)

In this particular question case;

(x,y) are coordinates of p = (8,1)

x = 8 , y = 1

m = 2 , n = 3

x1 = -2 , y1 = 3

x2 = x , y2 = y ( coordinates of point B)

So let’s make the substitution;

(8,1) = 2x + 3(-2)/2+3) , 2(y) + 3(3)/(2+3)

(8,1) = (2x-6)/5 , (2y + 9)/5

So therefore; let’s equate

(2x-6)/5 = 8

and 2y+ 9/5 = 1

2x-6/5 = 8

2x -6 = 8*5

2x -6 = 40

2x = 40 + 6

2x = 46

x = 46/2

x = 23

(2y + 9)/5 = 1

2y + 9 = 5 * 1

2y + 9 = 5

2y = 5-9

2y = -4

y = -4/2

y = -2

So the coordinates of point B are (23,-2)


Related Questions

A physician's assistant measures a child and finds his height is 41 in.
At his last visit to the doctor's office the child was 38 in, tall. How much
did the child grow?

Answers

Answer:

He grew 4 inches since his last visit.

Step-by-step explanation:

41 - 38 = 4

Zoey signed up for a streaming music service that costs $7 per month. The service allows Zoey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Zoey have to pay in a month in which she downloaded 45 songs? How much would she have to pay if she downloaded s songs?

Answers

Answer:

the answer is 60 $ but with the charge of 7 its 67.

Step-by-step explanation:

45 divided by 0.75 is 60.

Answer:

Cost for 45 songs: 40.75

Cost for s songs: 0.75s + 7

Step-by-step explanation:

Since its $0.75 per song, you have to multiply 0.75 to 45. You already need to pay $7. The equation would be 0.75s + 7 and the answer would be 40.75.

What is 28 divided by 1,000

Answers

Answer:0.028

Step-by-step explanation:

Answer:

0.028

Step-by-step explanation:

I used a calculator.

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. A Negative 4 and one-fourth B –4 C Negative three-fourths D Negative one-half

Answers

Answer:

B

Step-by-step explanation:

because that is were you plot it on the number line

Answer:

B

Step-by-step explanation:

Got it right on my test.

The question is in the picture above. Please help

Answers

Answer:

it is 1

Step-by-step explanation:

Before beginning voice lessons, Martina already knew how to sing 18 pieces, and she
expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will
Martina need before she will be able to sing a total of 24 pieces?

Answers

Answer:

Before beginning voice lessons, Martina already knew how to sing 18 pieces, and she

expects to learn 2 new pieces during each week of lessons. How many weeks of lessons will

Martina need before she will be able to sing a total of 24 pieces?

Rewrite as a simplified fraction. 0.8 95

Answers

Answer:

[tex] \frac{179}{200} [/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

Can you do my question

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

Answers

Answer:

The answer is 75

Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?


(2.1+5.9)+(−3.7)

−(2.1−5.9)+(−3.7)

−2.1−(5.9+3.7)

(2.1+5.9+3.7)

Answers

Answer:

-2.1-5.9-3.7

-117/10

-11.7

Step-by-step explanation:

Answer:

-(2.1 - 5.9) + (-3.7)

please help me! WILL MARK BRAINLIEST

Answers

Answer:

100

Step-by-step explanation:

455=94x22^2/r

455=94x484/r

455=45496/r

0.01=1/r

100=r

can u guys plz help me?
-2(x-3) < 2x - 4

Answers

Answer:

2.5 < x or 5/2 < x

Step-by-step explanation:

Start by distributing the -2 to the parenthesized numbers.

-2*x and -2*-3

You end up with -2x and 6 (negative times a negative gets positive).

-2x+6 < 2x-4

Next you need to get your variables, x, on one side. It can be either but I like addition so lets take the -2x and move it to the opposite side.

You'll need to add 2x to both sides since its a negative number.

-2x(+2x)+6 < 2x(+2x)-4

-2+2 is 0 and 2+2 is 4.

6 < 4x-4

You want to get the variable alone now so you'll want to add the 4 to the other side (because its negative you add. If it was positive you'd subtract).

6(+4) < 4x-4(+4)

6+4 is 10 and -4+4 is 0.

10 < 4x

You want to divide out the 4 from 4x because you want the variable alone. Divide 4 from both sides

10(/4) < 4x(/4)

Now depending on if you want a variable or a fraction 10/4 can be 5/2 (simplified fraction) or 2.5 (decimal). 4x/4 gives you x.

2.5 (or 5/2) < x

Hope that helps.

yea I think it's what other person put

Examine the two-step equation
7
-2
4 4
Which property of operations allows you to add the same constant term to both sides?
O multiplication property of equality
division property of equality
O addition property of equality
subtraction property of equality
1) Intro

Answers

Answer: addition property of equality

Step-by-step explanation:

Answer:

Addition property of equality (C)

Step-by-step explanation:

Edge unity

2021

4(3x - 6) = 6(3x + 5)

please help my asap

Answers

Answer:

-9

Step-by-step explanation:

4(3x-6)-6(3x+5)

12x-24-18x-30

-6x-54

-6x=54

x= -9

Answer:

x=-9

Step-by-step explanation:

I used this website called symbolab

3(6+zw) = 6(w t3)
How many solutions

Answers

I’m pretty sure it is one solution z=2

8
Henry earned 5 dollars for each lawn he mowed. If he had 12 lawns to mow, but forgot
to mow 7 of them, how much money did he actually earn?
A $10
B $49
C $24
D $8
Plz help

Answers

Answer:

huh that's weird there should be an answer for 25

Step-by-step explanation:

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.30.
After one month, Paul bought 21 passes and spent a total of $33.30.
Help pls

Answers

Answer:

Paul spent 6 dollars on the student discount card.

Step-by-step explanation:

If each pass is $1.30, simply divide 21 by 1.30

You should get 27.30

Next, subtract 33.30 by 27.30, getting 6.

18.194 rounded to the tenths

Answers

Answer:

18.2

Step-by-step explanation:

To round 18.194 to the nearest tenth consider the hundredths’ value of 18.194, which is 9 and equal or more than 5. Therefore, the tenths value of 18.194 increases by 1 to 2.

18.194 rounded to the nearest tenth = 18.2

3х + 5 = 3х + 5
What solution is this?

Answers

5=5 I think but I know that their are infinitely solutions

Is 5 1/2 rational or irrational ?

Answers

Answer:

Rational

Step-by-step explanation:

It is a rational number because any number that can be rewritten as a simple fraction is a rational number. This means that natural/counting numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers such as 1 ½.

3 more than the product of a number and 11

•write as a algebraic expression

Answers

Answer:

3+(t x 11)

Step-by-step explanation:

Answer:

3(x+11)

Step-by-step explanation:

Help what is the answer to 7.26 divide by 5 and I also need the steps include Plz!!

Answers

Answer:

the answer is 1.452.

Step-by-step explanation:

7.26 ÷ 5 = 726 ÷ 500 = 1.452

hope this helps!

On a piece of paper graph y= 2x-3. Then determine which answer matches the graph you drew. (there is 4 options not just three)

Answers

Answer:

A

Step-by-step explanation:

since the slope (2) is positive the graph is similar to y=x, so graphs B and D are eliminated

so when x=1 we have

y=2(1)-3

y=2-3

y=-1

so the point is (1,-1), graph C eliminated

so it's A

The standard equation for finding the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept

Before we can plot the equation of a line, we must know the slope and the y-intercept of such line.

Given the equation of a line to be plotted expressed as y = 2x - 3

Compared with the standard equation;

mx = 2x

m = 2

Hence the slope of the line is 2

Similarly;

b = -3

Hence the y-intercept is 3.

Find the required graph attached below:

Learn more here: https://brainly.com/question/17003809

Find the value of y.

Answers

H pretty sure hope I helped

please help meeee! !!!

Answers

Answer:

c) $ 12.00

Step-by-step explanation:

$78.20 x 15%= 11.75

round up

question:- why?
answer: ?
plz give the answer and i will mark you the brainliest just like that

Answers

Answer:

Make me brainliest for good luck

Step-by-step explanation:

If three planes intersect then their intersection is a line.

Answers

Answer:

Always true

Step-by-step explanation:

Three Planes Intersecting in a Line, Three Parallel Planes.

10) A market has 60 cupcakes
for sale. Of those %s are
chocolate. How many are not
chocolate?

Answers

Answer:

36

Step-by-step explanation:

Solve:
6 = 8 + 2
a =?

Answers

Answer:

4

Step-by-step explanation:

Use a number line to show why this is true.(+3)-(-2)=(+3)+(+2)

Answers

Answer:

It is true - multiply by - is equal to +

so

3-(-2)=3+2

3+2=3+2

5=5

so

its true in mathematically form

Step-by-step explanation:

Jessie, Kristen, and Kendall all went shopping together and bought shirts. Kristen bought a shirt that cost $8.50. Jessie's shirt cost $12.75. If their total bill was $39.45 how much did Kendall's shirt cost?

Answers

Answer:

Kendall's shirt was $18.20.

Step-by-step explanation:

39.45 - 8.50 - 12.75 = 18.20

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