given AC with A(3,4) and C(-9,-2) if B partitions AC such that the ratio of AB to BC is 1:5 find the coordinates of B. ​

Answers

Answer 1

Answer:

The co-ordinates of B (1,3 )

Step-by-step explanation:

Step(i):-

Given A( 3,4) and C( -9, -2)

Given  'B' partition AC such that

B divides AC in the ratio is 1:5 internally

Section formula

       [tex](\frac{mx_{2}+nx_{1} }{m+n} ,\frac{my_{2}_+ny_{1} }{m+n} )[/tex]

Step(ii):-

Given points are

     A( 3,4) and C( -9, -2) and ratio 1 : 5

(x₁ , y₁) = ( 3,4)     and (x₂, y₂) = (-9,-2)

m:n = 1 : 5

The co-ordinates of B

           = [tex](\frac{1(-9)+5(3) }{1+5} ,\frac{1(-2)+5(4) }{1+5} )[/tex]

         =  [tex](\frac{6}{6} , \frac{18}{6} )[/tex]

       = (1 , 3)

Final answer:-

The co-ordinates of B (1,3 )


Related Questions

Which equation does the graph below represent?

Answers

I am not for sure, but I think it might be y=2x? Correct me if I am wrong please-

???????????????????help

Answers

Answer: 10

Step-by-step explanation:

add 2.75 to 0

Answer:

$3.49 for 15oz is best buy

Step-by-step explanation:

3.49 divided by 15 = about 0.23

$0.23 for 1 oz

2.75 divided by 11 = 0.25

$0.25 for 1 oz

So $3.49 for 15oz is best buy


Find two integers whose sum is -6 and product is 8


Answers

Answer:

-4 and -2

Step-by-step explanation:

Sum = - 6

[tex] - 4 + ( - 2) \\ - 4 - 2 = - 6[/tex]

The product = 8

[tex]( - 4) \times ( - 2) = 8[/tex]

Remind that negative multiply negative equal positive.

A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 6 years?
mg

Answers

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

The duration of decay is the same as the half-life of radium, therefore,

half the mass  of radium will remain after 6 years.

Response:

The amount of the sample that remains after 6 years is 0.75 mg

Which method is used to find the mass of the radioactive substance, radium, that remains over time?

The given mass of the sample of radium, N₀ = 1.5 mg

The half-life of radium = 6 years

Required:

The amount of the sample that will remain after 6 years

Solution:

Let N(t) represent the mass of the sample that remains after 6 years, we have;

[tex]N(t) = \mathbf{N_0 \cdot \left(\dfrac{1}{2} \right)^{\dfrac{t}{t_{1/2}} }}[/tex]

Which gives;

[tex]N(6) = \mathbf{1.5 \times \left(\dfrac{1}{2} \right)^{\dfrac{6}{6} }} = 0.75[/tex]

The amount of the sample of radium that remains after 6 years, N(6) = 0.75 mg

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Determine whether the function given by the table is linear, exponential, or
neither. If the function is linear, find a linear function that models the data; if it is
exponential, find an exponential function that models the data.

Answers

Answer:

It's A and the answer is 4^x

Step-by-step explanation:

The exponential function that models the data is f(x) = [tex]4^x[/tex].

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

We have a table.

The given function is not a linear because the difference of two consecutive term is not constant.

Now, the ratio

1/(1/12)= 12

12/1= 12

144/12= 12

1728/ 144= 12

If the ratio is same then the function is Exponential.

So, the exponential function is

f(x) = [tex]4^x[/tex]

Learn more about Function here:

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All of them!!!! Thanks for the help!!!!

Answers

Okay so the formula is y2-y1/ x2-x1

(X,Y) for example (2,7). That means 2=X and 7=Y. So I’ll do your first problem and you do the rest. (0,0) (3,3) remember y2-y1 over x2-x1. So 3-0=3 and 3-0 =3 so slope is 3/3. Simplified 1

Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?

40.5%

74%

54.8%

99.8%

22.2%

Answers

The apprοximate prοbability that Ankit will make all three shοts is 0.405 οr 40.5%. Thus, option a is correct.

What is binοmial distributiοn?

A prοbability distributiοn knοwn as the binοmial distributiοn is used tο characterize the number οf successes in a certain number οf independent trials, where each trial has οnly οne οf twο pοtential οutcοmes (success οr failure) and the chance οf success is cοnstant acrοss all trials. Fοr determining the likelihοοd οf achieving a certain number οf successes in a set number οf trials, it is utilised.

Given, Ankit makes 74% οf the free thrοws.

Using binοmial distributiοn we have:

[tex]$\rm P(X=k)= (^nC_k) \times p^{k} \times (1-p)^{(n-k)}$[/tex]

Fοr k = 3 we have:

[tex]$ \rm P(X=3)=(^3C_3) \times 0.74^{3} \times (1-0.74)^{(3-3)}$[/tex]

[tex]$ \rm P(X=3)=0.74^{3}$[/tex]

P(X=3) ≈ 0.405

Hence, the apprοximate prοbability that Ankit will make all three shοts is 0.405 οr 40.5%.

Learn more about binomial distribution here:

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Find the sum for the polynomials
(x2 - 4x + 3) + (3x2 – 3x - 5)
O 3x2 + 12x – 15
O 4.4 - 7x2 - 2
O 19.24
O 4x2 - 7x-2

Answers

I don’t think you can get a hold of me and

Please help!

Solve for C:
S = C + RC

Answers

Answer:

C=S/1+R ( The + is a ___  so 1+R is under S)

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

What is the dollar value of 6 nickels and 9 dimes? What is the dollar value of n nickels and d dimes?

Answers

one dollar and 50 cents

Write a story for this graph. ( Use the outline plz)

Answers

Answer:

Jack is evil.

Step-by-step explanation:

Jack wasn't very smart, one-day jack made a science experiment to increase the temperature of frogs 2 fold every week starting from 2 degrees Celcius, the graph shows how much he cooked the poor frog in the weeks that sadly, followed.

(in case you don't know fold just means multiplied by that much so 20k$ going 10 fold is 200k$)

Write an equation of the line in slope-intercept form that contains

(-3, 13) and (6,-5)

Answers

Answer:

[tex]y = -2x +7[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-3,13)[/tex]

[tex](x_2,y_2) = (6,-5)[/tex]

Required

Determine the equation in slope intercept form

First, we calculate the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The equation becomes:

[tex]m = \frac{-5 - 13}{6 - (-3)}[/tex]

[tex]m = \frac{-5 - 13}{6 +3}[/tex]

[tex]m = \frac{-18}{9}[/tex]

[tex]m = -2[/tex]

The equation is then calculated using:

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

Substitute values for y1, m and x1

[tex]y - 13 = -2(x -(-3))[/tex]

[tex]y - 13 = -2(x +3)[/tex]

[tex]y - 13 = -2x -6[/tex]

Make y the subject

[tex]y = -2x - 6 + 13[/tex]

[tex]y = -2x +7[/tex]

Which ratio is equal to 15:20?
a: 5:10
b: 18:25
c:21:28
d: 24:30

Answers

Answer:

C - 21:28

Step-by-step explanation:

this is solved by a little bit of trial and error. divide the possible answer numerators by 15, and check if it's the same for the denominator.

For C I did this:

Divided the denominators: 28 ÷ 20 = 1.4....so that's 1.4.

Let's test it out for the numerator now. 21 ÷ 15 = 1.4.

So there's your answer.

Pls help me with this is you anwser correct I’ll give brainly

Answers

Answer:

3)b

4)A

Step-by-step explanation:

I need help ASAP! THIS IS DUE IN VERY SOON!

Answers

Answer:

1. Yes  2. Yes   3. No   4. No    5. Yes.   6. No.     7. No.     8. yes.      9. Yes.     10. No.       11. Yes.     12. Yes.    

Step-by-step explanation:

7/10 - _______ + 3/2 = 6/5

Answers

Answer:

1/1

Step-by-step explanation:

Add: 7/10+3/2

11/5-x       =      6/5

Rearrange: 11/5-x to -x+11/5

Subtract 11/5 of both sides

-x=6/5-11/5

to

-x=-1

x=1

1/1 is the fraction form

PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST

Answers

Answer:

1) 6+4x and 5+3x. 2) 3+6x and 10+2x. 3) 15+4x and 2+3x

Step-by-step explanation:

finding area is just multiplying the sides so find numbers that multiply to make 30 and 12

What is the approximate area of the circle shown below?

A. 26.4 in2
B. 55.4 in 2
c. 13.2 in2
D. 222 in2

Answers

Hey there!

Formula: πr^2

r = radius

pi = 3.1415926535898 (but we can say it approximately equals 3.14)

Your equation (3.14)(4.2)^2 = answer

4.2^2 = 4.2 × 4.2 = 17.64

New equation: 17.64 × 3.14 = 55.3896

We round our answer to the nearest tenth

Answer: 55.4 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Worth 20 points, please help and give good answers than you(will mark brainlest)

Answers

Answer:

B

Step-by-step explanation:

all you need is to solve the first term

2x² - (-3x²) = 5x² ,

b is the only answer with 5x² in it

Answer:

A

Step-by-step explanation:

-3x2 + 5y - 4xy + y2 - (2x2 - 4y + 7xy - 6y2)

use - sign to open bracket by multiplying

-3x2 + 5y - 4xy + y2 - 2x2 + 4y - 7xy - 6y2

collect like terms

-3x2 - 2x2 + 5y +4y - 4xy - 7xy + y2 +6y2

-5x2 + 9y - 11xy + 7y2

Which theorem or postulate did you use in Part A?
the pic is part A​

Answers

Answer:

73

Step-by-step explanation:

the answer is 73 because a parallelogram has to add up to 180.

180-107= 73  

12 x 1/4 thats all I need thanks

Answers

The answer would be 3
(Let me know if you want me to explain)

Hope this helps

Have a great day/night

Answer:

3

Step-by-step explanation:

Please help giving brainiest explain

Answers

Answer:

Slope: -2/3

Y-intercept: (0, 9)

Equation: y = -x + 9

3 blocks away: 6 visits

Step-by-step explanation:

Calculate slope from point (1, 8) to point (3, 7) on the line.

The y-intercept is where the line meets the y-axis.

The equation took a bit of guessing, but the -x is the y = x line, but reversed. 9 is the y-intercept.

Check the point on the line where x = 3.

Hope this helps!

THIS IS DUE IN 10 MIN!!

Riley bought a fountain for $14 that was originally priced at $50. What is the discount, as a
percentage?

Write your answer using a percent sign (%).

Answers

The discount is 50-14 = $36

% discount = (36/50)*100 = 72%

Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150

Answers

Answer: 50% increase

Step-by-step explanation:

PLEASE HELP MEEEEEEEE !!

Answers

Answer:

2,7 Good Luck make sure to mark brainliest

I will mark as a brainliest .
Can anyone help me :( .

Please don’t answer if you do not know .

Answers

Answer:-

Slope = 1/6

Give me a Hifi

Answer:

slop =1/6

thank you very much

What is the y-value that goes with an x-value of 5?

Answers

Answer: y = 7- 5x

Step-by Step Explanation: The variable x is multiplied by a larger value here; it's multiplied by 5. So I should expect that my y-values will grow fairly quickly. This means that I should expect a fairly "tall" graph.

First I'll do the T-chart.

T-chart

This equation is an example of a situation in which you will probably want to be particular about the x-values you pick. Because the x is multiplied by a relatively large value, the y-values grow quickly. For instance, you probably wouldn't want to use x = 10 or x = –7 as inputs. You could pick larger x-values if you wished, but your graph would very quickly get awfully tall.

I can see, from my T-chart, that my y-values are getting pretty big on either end (that is, in the positive numbers above the horizontal axis, and in the negative numbers below). I don't want to waste time computing points that will only serve to make my graph ridiculously large, so I'll quit with what I've got so far. But I'm glad I plotted more than just two points, because lines that start edging close to vertical can easily go wrong, if I'm not neat in my work.

Here's my graph:

y = 7 - 5x

Exponential functions do not form straight lines.

Answers

That’s right lol :))

Alex can plant
1
4
of his garden in
2
3
hour. If he continues working at this rate, what fraction of Alex’s garden can he plant in one hour?

Answers

Answer:

yeah! cool so you add then divied and boom yw

Step-by-step explanation:

add and divide like I said! hope this helPwdd

please help me I have been doing this for hours

Answers

Answer:

y= [tex]\frac{25}{11}[/tex]x

coordinates: (11,25)  (22,50) (33,75)

Step-by-step explanation:

I dont really understand this question but I input the equation into desmos (a graphing website) and that is the equation I got

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