What are the coordinates of the point on the directed line segment from
(-6, -10) to (9, 2) that partitions the segment into a ratio of 1 to 2?

Answers

Answer 1

Answer:

The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)

Step-by-step explanation:

Given that:

(x1,y1) = (-6,-10)

(x2,y2) = (9,2)

If a point (x,y) divides a line into ratio m:n, the coordinates can be found out by the formula

[tex](x,y) = (\frac{nx_1+mx_2}{m+n} , \frac{ny_1+my_2}{m+n})[/tex]

As given ratio is: 1:2

so m= 1

n = 2

Putting the values in the formula we get

[tex]= (\frac{(2)(-6)+(1)(9)}{1+2} , \frac{(2)(-10)+(1)(2)}{1+2})\\=(\frac{-12+9}{3} , \frac{-20+2}{3})\\=(\frac{-3}{3} , \frac{-18}{3})\\=(-1,-6)[/tex]

Hence,

The coordinates of point that divides the given line in ratio 1:2 are (-1,-6)


Related Questions

4 tons of sawdust cost $7,520.00. What is the price per pound?

Answers

Answer:

1,880 per pound

Step-by-step explanation:

How many department stores have exactly 37 pairs of glasses?

Answers

i have to write 20 words or move but the answer is 0

dont mind my answer plz help

Answers

Answer:

I don't think it's a knot.

use your knowledge of function to complete the table below, identify wether or not each representation is a function, and be sure to justify your answer

I WILL GIVE YOU ALL MY POINTS OF YOU GIVE THE FUNCTION AND JUSTIFICATION OF THESE 3 QUESTIONS PLEASE HELP​

Answers

Answer/Step-by-step explanation:

3. Function: NO

Justification: there will be more than one y-value/output related to one x-value/input.

4. Function: YES

Justification: There are exactly one y-value/output related to each input/x-value in the relation.

5. Function: YES

Justification: each x-value/input is mapped to exactly one y-value/output. No input value is mapped to more than one output value.

5/6 + (-4/9)-(-2) ??????

Answers

it would be 43/18. you should be able to simplify it if not let me know :)

Answer:

2 7/18

Step-by-step explanation:

Follow the pemdas order of operations, apply the + (-a) = a Rule. Add and subract from left to right. 5/6 - 4/9 = 7/18 with 2 and it gives you your answer but keep in mind the two multiples are 6,9. Hope this helps!

what is it ?????????????​

Answers

Answer:

It's A

Step-by-step explanation:

0.073 is les than 0.73

(2x+3y=23)(3x+4y=15)using ellimination method.

Answers

Answer:

x = -47, y = 39

Step-by-step explanation:

2x+3y=23 →equation 1

3x+4y=15 →equation 2

by elimination method,

(2x+3y=23) × 4

(3x+4y=15) × 3

8x + 12y = 92

(-)      (-)       (-)

9x + 12y = 45

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

-1x + 0    = 47

-x = 47

x = -47

substitute x=-47 in equation 1

2(-47) + 3y = 23

-94 + 3y = 23

3y = 23 + 94

3y = 117

y = 117/3

y = 39

therefore, x = -47 and y = 39

hope you understood ❤❤❤

A bat can fly 84 feet in four seconds. A dove can
fly 35 feet in two seconds. Which can fly faster and by
how much?

Answers

Answer:

A bat

Step-by-step explanation:

Answer:

The bat flies faster by 7 feet

Step-by-step explanation:

first, you need to find some common ground. 84 and 4 can both be divided by two 84/2=42 so now we know that:

-The bat flies 42 feet in two seconds

-The dove flies 35 feet in two seconds

So we know that the bad flies faster because the number is greater, but by how much?

To find this just subtract 35 from 42 to get 7.

So to summarize

The bat flies faster by 7 feet

Ivan purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Ivan paid.

Answers

Answer:

4n=c

Step-by-step explanation:

your trying to figure out how how much he paid and how much money it cost total so you have to multiply the cost of one by the number of notebooks you have n and by doing that you would be able to get your total cost c

Answer:

The cost of n notebooks is 4n dollars.

Step-by-step explanation:

C(n) = 4n

Find the standardized test statistic t for a sample with n = 15, = 10 , s = 0.8, and if Round your answer to three decimal places.

Answers

Complete question :

Find the standardized test statistic t for a sample with n = 15, x = 10, s = 0.8, H0: μ = 10.5. Round your answer to three decimal places.

Answer:

−2.420614

Step-by-step explanation:

Given that:

Given that:

n = 10

s = 0.8

X = 15

μ = 15.9

Using the relation :

(x - μ) / (s/√n)

(10 - 10.5) / (0.8/√15)

-0.9 / 0.2065591

= −2.420614

Hence, the standardized test statistic = −2.420614

Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.

Answers

Answer:

the answer is there should be another digit in the quotient

Answer:

No, because there should be another digit in the quotient

Find the equation of a line (in y = mx + b form) through the point (-2,5) with an angle of

inclination of 45°.

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope - intercept form is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope m;

m = tan theta

m = tan 45

m = 1

Get the intercept c;

Substitute m = 1 and (-2, 5) into the equation y = mx+c and get c;

5 = 1(-2)+c

5 = -2+c

c = 5+2

c = 7

Get the required equation;

y = 1(x)+ 7

y = x + 7

Hence the equation of the line is y = x+7

Which graph would be the best to represent the amount of rainfall each month for one year?
A)
bar graph
B)
pie graph
flow chart
D)
auto graph
E)
box-and-whisker plot

Answers

Answer:

B

Step-by-step explanation:

This is just personal preference, I prefer a flow chart because I can clearly see the difference between the amount of rainfall each month.

Christian evaluated the expression, but his teacher told him he made a mistake.
8. (24-3) +18
8 (16-3) +5
8. 13 +5
104 +5
109

Answers

(24-3) + 18
21 + 18
39

Kayla has $35 in her wallet. She just got a babysitting job and now makes $50 more a week.
Write an equation to express how much money Kayla has at any point in time.


Answers

Answer:

She has $85 and now she will make $50 more each week.

Step-by-step explanation:

She has $85 and now she will make $50 more each week.

If you have a demand function of Qd=48-9P and a supply function of Qs=-12+6P,

what would the equilibrium QUANTITY be?

Answers

Answer:

The equilibrium quantity is 26.4

Step-by-step explanation:

Given

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_s = 12 + 6P[/tex]

Required

Determine the equilibrium quantity

First, we need to determine the equilibrium by equating Qd to Qs

i.e.

[tex]Q_d = Q_s[/tex]

This gives:

[tex]48 -9P = 12 + 6P[/tex]

Collect Like Terms

[tex]-9P - 6P = 12 - 48[/tex]

[tex]-15P = -36[/tex]

Solve for P

[tex]P = \frac{-36}{-15}[/tex]

[tex]P =2.4[/tex]

This is the equilibrium price.

Substitute 2.4 for P in any of the quantity functions to give the equilibrium quantity:

[tex]Q_d = 48 - 9P[/tex]

[tex]Q_d = 48 - 9 * 2.4[/tex]

[tex]Q_d = 26.4[/tex]

Hence, the equilibrium quantity is 26.4

A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

what is coefficient in front of a variable by itself

Answers

Answer:

Step-by-step explanation:

Well Coefficent means its by it self with is called a constant. A coffecient is a number used to mulitpy a varable

What is the value of the expression below when x=1?
4x² + 5

Answers

Answer:

its 9

Step-by-step explanation:

bec 1 square is 1 and 4 +5 is 9

Answer:

9

Step-by-step explanation:

4x^2+5=

4(1)^2+5=

4(1)+5=

4+5=

9

Brainleist!!!!!!!!!!!!

Answers

Answer:

I can't make a table but it would be like year to inches of percipitation Like:

Year | Precipitation (Inches)

2015 | 44.83

2016 | 45.18

2017 | 47.87

2018 | 35.73

2019 | 33.88

For the relationship just determine the pattern if it is addition subtraction e.t.c

Ex. The relationship is +30 or -56

Last but not least determine if it is a function pretty simple

And for my effort please name me the brainliest I really need Thank u

Answer:

2015 | 44.83

2016 | 45.18

2017 | 47.87

2018 | 35.73

2019 | 33.88

Step-by-step explanation:

24 pointss helpssss..tysmmm

Answers

Answer:

B

Step-by-step explanation:

Answer:

im not sure but i think its d

Step-by-step explanation:

100 POINTS! PLEASE HELP
Please please please get this correct!

Answers

Answer:

y = -1/4x + 5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define given

Slope m = -1/4

y-intercept b = 5

Step 2: Write linear equation

Define general:          y = mx + bSubstitute:                  y = -1/4x + 5

And we have our final answer!

Answer:y = -1/4x + 5

Hope this helps

You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error?

Answers

Answer:

The sample size is  [tex]n =  841 [/tex]

Step-by-step explanation:

From the question we are that

    The standard deviation is  [tex]\sigma = 5.6 \ hours[/tex]

     The margin of error is  [tex]E = 0.45[/tex]

From the question we are told the confidence level is  98% , hence the level of significance is    

      [tex]\alpha = (100 - 98) \%[/tex]

=>   [tex]\alpha = 0.02[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  2.33[/tex]

Generally the sample size is mathematically represented as  

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

=>   [tex]n = [2.33 } *  5.6}{0.45} ] ^2[/tex]

=>   [tex]n =  841 [/tex]

The lawful speeds S on an interstate highway satisfy |S-60| <= 17.5. Find the maximum and minimum speed limits by solving the absolute value equation |S-60| = 17.5

Answers

Answer:

Step-by-step explanation:

Given the expression of the speed satisfying the equation |S-60|≤17.5

The inequality expression will return both a negative and positive value.

For the positive value of the function;

S-60 ≤17.5

S ≤17.5+60

S  ≤ 77.5

For the negative value of the function;

-(S-60) ≤17.5

-S+60 ≤17.5

-S  ≤17.5 -60

-S  ≤ -42.5

multiply through by -1

S≥42.5

Hence the minimum speed limit is S≥42.5 while the maximum is S  ≤ 77.5

plz answer its due in 5 min,
!!!!!!!

Answers

Answer:

the answer is 2x-22

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

4x = 6x - 44

4x - 6x = -44

-2x = -44

x = 44/2

x = 22

Help please I’m really having trouble on my class work please help w all 3

Answers

Answer:

Number 4. A

Number 5. B

Number 6. B

Step-by-step explanation: On god

Can You write me a three-paragraph reflection about how the first trimester went. Since I helped you plz

An expression is written as m−5(m+3) +7m.
What is the value of the expression when m=x+1?

Answers

(x+1)-5(x+1+3)
(x+1)-5(x+4)
x + 1 - 5x - 20
-4x - 19

The table below shows the number of different types of animals available at a pet store.
Types of Animals Number of Animals
puppies
17
kittens
12
rabbits
6
hamsters
2
If two puppies are purchased, what is the ratio of the number of puppies remaining to the total
number of animals remaining?
A
19
B
ch
D

Answers

Answer:

remaining amount of animals should be 35

Step-by-step explanation:

First add up all the pets in the store = 37

Then minus the 2 puppies = 35

then put it as 2:35

Answer:

3:7

Step-by-step explanation:

please help me I need this for school​

Answers

Answer:

It would be c!

Step-by-step explanation:

What is the Domain and Range?
(see TWO photos)
PLEASE HELP

Answers

Answer:

The domain (x values) is negative infinity to positive infinity since the graph keeps going in both directions ( left and right ) and the range (y values) is -1 to positive infinity since the graph starts at vertex (-1, -4) and continues infinitely upward.

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