Please Help

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer 1

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)


Related Questions

What is the solution to the system of polynomials graphed below?

Answers

Answer:

Step-by-step explanation:

A(-1,6)

the solution is the intersection of the 2 graph because in that point both equations are true

HELP!!! ILL MARK BRAINLYEST!

Answers

Answer:

its 1 and 3

Step-by-step explanation:

you can tell cant you

3 • (5•x) , 5 • (x•3) , 15x

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

PLEASE HELP!!!!!!! WILL GIVE BRAINLIEST

Answers

Answer:

16 inches

Step-by-step explanation:

What we know:

The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.

We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)

x = 4(12)/3

x = 48/3

x = 16

The predicted diameter will be 16 inches.

(Just put 16 in the blank.)

Dkendbdjdbebdbdbdjdnd

Answers

Answer:

5/2

Step-by-step explanation:

The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.

A pack of pencils that have 30 pencil in the pack cost $5.99. How much is one pencils cost? (unit rate)​

Answers

Answer:

$0.19 per pencil

Step-by-step explanation:

$5.99 divided by 30 = 0.19

HELP PLZ
You don’t have to solve all of them just do the ones you know!

Answers

Supplementary angles equal to 180
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines

A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122

90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1

Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.

A ps4 uses uses 8.8 watts when on stand by mode. If electricty in your area costs 0.10$ kwh, how much would this cost?

Answers

Answer0.88:

Step-by-step explanation: because for every watt 10 cents or .10 is being used so since there is 8.8 watts it would be a total of 0.88 in your area

PLEASE HELP NOO NE ANSWERS IT THE RIGHT WAY. YOURE SUPPOSED TO FIND WHICH ONE HAS THE GREATER UNIT RATE (only question 13)

Answers

Answer:

The graph on the right.

Step-by-step explanation:

The graph has a higher unit rate because it's slope is 48.5, as opposed to the equation on the left which has a slope of 23.5

Find 83 1/3 % of 384
Also, side info the answer is not 319.872

Answers

Answer:

320

Step-by-step explanation:

First, convert the percent into a fraction.

250/3*100 = 250/300 = 5/6

5/6 of 384 is 5 * 64 = 320

Answer:

320

Step-by-step explanation:

(83 1/3)% of 384 = 320

A yoga instructor offers two options for classes. Option 1: $40 joining fee and $20 per class Option 2$0 joining fee and $25 per class After how many classes will both options have the same cost?

Answers

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200

Maël mixes 151515 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of bleach with 3.753.753, point, 75 liters (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?

Answers

The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Maël mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.

The ratio of bleach to water is given below.

Bleach / Water = 15 / 3.75 = 4

Bleach / Water = 12 / 3 = 4

Bleach / Water = 6 / 1.5 = 4

Bleach / Water = 3 / 0.75 = 4

Bleach / Water = 20 / 5.5 = 3.6363

The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.

More about the Algebra link is given below.

https://brainly.com/question/953809

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The complete questions are given below.

The volume of a rectangular prism is represented by the function x
representing the width of the box.
Ox- 4
OX-1
Ox+1
Ox+4

Answers

Answer:

x = 4

Step-by-step explanation:

Hope this helps! Consider Brainiest! <3

Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?

Answers

The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666

How to calculate the margin of error and the interval estimate

From the question, we have the following parameters that can be used in our computation:

Proportion, p = 63.9%

Sample size, n = 1200

The margin of error can be calculated using:

E = z * √((p * (1 - p))/n)

Where

z = 1.96 i.e. z-score at 95% CI

Substitute the known values in the above equation, so, we have the following representation

E = 1.96 * √((0.639 * (1 - 0.639))/1200)

Evaluate

E = 0.027

The interval estimate is calculated as

I = p ± E

So, we have

I = 0.639 ± 0.027

Evaluate

I = 0.612 to 0.666

Hence, the interval estimate is 0.612 to 0.666

Read more about confidence interval at

https://brainly.com/question/15712887

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Question

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.

At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?

Jada has read 3/5 of a book. She read 75 pages so far. How many pages are in the whole book

Answers

Step-by-step explanation:

3/5 of the book = 75 pages

5/5 of the book = 75 * (5/3) = 125 pages

Hence there are 125 pages in the whole book.

Answer:

Concept: Data Analysis

Jada has read 60% of the book So 60% of the book is 75 pages We want to find the whole count of pages An easy way to do this is to see that for every 20% you have 15 pages You need 40% So its 30 pages So 75+30= 105 pages

Does any one knows the scale factor?

Answers

Yes in science it’s the scale factor of the division barns end. Dive o Ebro dodo ooo
Hey jm correct answer

ashton needs a total of $1.50 in quarters for a coin- operated car wash. He already has $0.75. which equation can be used to find q, the number of additional quarters ashton needs in order to have enough money for the car wash?

Answers

.75+q=1.50 :)!!!!!!!

The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 7 inches and an unknown population mean. If a random sample of 20 dogs is taken and results in a sample mean of 21 inches, find a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answers

Answer:

The 95% confidence interval  is  [tex] 17.932  <  \mu <  20  + 22.068[/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma =7 \ inches[/tex]

  The sample size is  n  =  20

  The sample mean is  [tex]\= x = 20[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{7 }{\sqrt{20} }[/tex]

=>    [tex]E = 2.068[/tex]        

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 20  - 2.068  <  \mu <  20  + 2.068[/tex]

=>     [tex] 17.932  <  \mu <  20  + 22.068[/tex]

What 7 to the 2 power plus 6

Answers

Answer:

[tex]7^2+6[/tex]

7 to the 2nd power is 49

49+6

55

solve for X enter your answer in the Box ​

Answers

Answer:

x = 10

Step-by-step explanation:

Since the angles are equal I believe you can just set the ratios equal, cross multiply and solve

help asaap dont use me for points please

Answers

Answer:

-1.5

Step-by-step explanation:

You were on the free points page

Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
A. (2,4)
B. (5,3)
C. (4,14)
D. (4,2)

Answers

correct answer is d x=4 y=2

Answer:

d (4,2)

Step-by-step explanation:

Which two integers are 7 units away from the number 0 an a number line ?

1. -2 and 12
2. -2and 2
3. -2and 7
4. -7 and 7

Answers ASAP!!!!!

Answers

4. The answer is -7 and 7. Start at 0 and count to the left. That’s -7. Then to the right it’s 7

Question:

Which two integers are 7 units away from the number 0 an a number line ?

Answer:

-7 and 7

How do I turn a decimal into a whole number? :)

Answers

There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.

“Decimal” has been used to mean three different things about the representation of numbers:

- Numbers written using a base 10 place value system

- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)

- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.

I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.

To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”

I hope this is the correct interpretation.

There are a few common ways:

- Round towards zero: Ignore the fractional part and keep only the integral part.

- Floor: Take the greatest integer less than the number in question.

- Ceiling: Take the least integer greater than the number in question.

- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.

These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.

Answer:

if the number after the decimal is 5 or more then round the number before decimal by 1

Step-by-step explanation:

for example:

1234.5

=1235

or

6974.7

=6975

or

7796.4

=7796 (No change on the last number because the number after the decimal is 4, which is under 5)

can somebody help me with that
Given: GI¯¯¯¯¯¯¯ bisects ∠HGJ and ∠H≅∠J

Prove: △GIJ≅△GIH

Answers

Answer:

tbh how we suppose to help

In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8​

Answers

Brainiest Answer:
D.1/8

can anyone help me with this math question

Answers

The third is true

ok bye

lm'iranian

11years old

Sanjay has £356.54 in his bank account. He spends £595.99 on a new mountain bike. What is his new bank balance?

Answers

your answer would be -239.45.

356.54

-595.99

-------------

-239.45

Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

brainly.com/question/4853032

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The sum of two numbers is 14 one number is two less than three times the other. find the numbers​

Answers

Answer:

The two numbers are 4 and 10

Step-by-step explanation:

give me a thanks bro

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