Find the coordinates of the point on the directed segment from (1,2) to (6,12) that divides it into a ratio of 2:3

Answers

Answer 1

Answer:

Point of contact  ( 3,6)

Step-by-step explanation:

Step(i):-

Given that the points are (1,2) and (6,12)

The ratio 2:3 divides the line segment

The line segment divides m:n externally

[tex](\frac{mx_{2}-nx_{1} }{m-n} ,\frac{mx_{2}-nx_{1} }{m-n} )[/tex]

Step(ii):-

(x₁, y₁) = (1,2) and (x₂, y₂)= (6,12) and m:n =2:3

[tex](\frac{2(6)+3(1) }{2+3} ,\frac{2(12)+3(2) }{2+3} )[/tex]

([tex](\frac{12+3}{5} ,\frac{24+6}{5} )[/tex]

([tex]\frac{15}{5} ,\frac{30}{5})[/tex]

(3 , 6)

Final answer:-

Point of contact  ( 3,6)


Related Questions

A flying squirrel's nest is 6 meters high in a tree. From its nest, the flying squirrel glides 8 meters to reach an acorn that is on the ground. How far is the acorn from the base of the tree? If necessary, round to the nearest tenth.

Answers

Answer:

2 meters

Step-by-step explanation:

A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-controlled car at the hobby store?

Answers

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

[tex]20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7[/tex]

So, mark up price is $7

Now, the retail price will be:

Retail price = Original Price + Mark up

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

Judy calls in a to-go order at the local pizzeria. She orders pizza for $1.75
per slice and a soda for $2.50.

Answers

Answer:

i think you want the total. it is $4.15

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:

Hey i think its C

Step-by-step explanation:

Valerie is 30 inches tall and casts a shadow that is 12
inches long. At the same time, ber teddy bear casts a
shadow that is eight inches long. How tall is the teddy
bear?

Answers

Answer:

20

Step-by-step explanation:

30:12 is the original ratio. So if you divide both sides by the numbers' GCF of 6 you'll get a simplified ratio of 5:2. Then multiply both sides by 4 to keep the ratio constant, then you'd get 20:8. So when the teddy bear casts a shadow of 8 inches long the actual teddy bear is 20 inches tall. Hope this helps!

Which angle has its terminal side on the negative x axis? Pls answer soon

Answers

Answer:

d-pi radians

Step-by-step explanation:

Answer:

Pi- radiants

Step-by-step explanation:

Based on the abbreviations, translate the following ad into fully spelled-out sentences. The final sentence should state
how many rooms each house probably has, not counting bathrooms.
LOW CTM - 2 bdrm 1 ba. Qualifying Low monthly pymnts
555-834-3674 Norris Realty

Answers

Answer:

low cash to mortgage, two bedroom one bedroom. ​Qualifying Low monthly payments

555-834-3674 Norris Realty

What is the price of $45 art set with 7% tax

Answers

Answer:

$48.15

Step-by-step explanation:

Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer

Damell had 27 coins in his pocket. He lost some. Write an expression that shows how many coins Darell lost.
A.27 -
B. n - 27
C. 27+n
D.n+27

Answers

Answer:

esl b comafio   qe vasu  slair beniaen

Step-by-step explanation:


1.
Gina buys a new TV for $999.00. She buys during a promotion at the store where she gets a 12
percent discount. She will also pay eight percent in sales tax.
True or false: Gina will pay eight percent in tax on $999.00, the price of the TV.

options:

O True
O False

Answers

True it’s true because it’s true

is this a real person ​

Answers

Answer:

who

Step-by-step explanation:

Answer:

yes......

d synch office

yes it is...

What is the slope of the line that passes through the points (0,7) and (-4,3)

Answers

Answer:

The slope=1

Step-by-step explanation:

(0,7)=(x,y) and (-4,3)=(`x,`y)

The formula for finding slope= `y - y/`x - x

3-7/-4-0

-4/-4

1

Therefore, the slope=1

I’d like some help with this question.
(Multiple choice)

Answers

Answer:

I think D

Step-by-step explanation:

You cant have negative numbers as radius

1. Many nonmetals are weak and
2. The property of an element to be beaten into sheets is
known as
3. The total space occupied by an object is
5.
is a gas and is an

Answers

Answer:

44

Step-by-step explanation:

i did 4 + 40 = 44 :)))))

Find the given trigonometric ratio in the problem below.

Answers

Answer:

tan c would be 20/21, and that can't be further simplified. tan is opposite/adjacent, so that's why it's 20/21.

What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15
A. 5
B. 4
C. 3
D. -4/3

Answers

Answer:

It would be 5

Step-by-step explanation:

Lupita y Fernando y Andrés quieren comprar entre los tres una bicicleta que ven todos los días en el aparador de la tienda todo para todos para sus vacaciones le han deseado tanto que decidieron comprarla cada uno sacó cuentas de lo que debería pagar por la bicicleta​

Answers

Answer:

el precio de la biciclete entre 3 es lo que van a pagar cada quien.

Step-by-step explanation:

2. If you buy a new mint-condition action figure, worth $106 and
your baby brother bent the packaging which reduced the value
by 22%, what is the new value of your figure?

Answers

Answer:

$82.68

Step-by-step explanation:

Original price of mint - $106

Percent discount = 22%

Discount price = 22/100 * 106

Discount price = 0.22 * 106

Discount price  = $23.32

New value = Original price - discount price

New value = 106 - 23.32

New value  = 82.68

Hence the new value of the figure will be $82.68

What is the solution of the system? {5x−y=−21x+y=−3 Enter your answer in the boxes. ( , )

Answers

Answer:

(-4,1)

Step-by-step explanation:

im pretty sure that is the answer, i will finish the test and tell you if it is right in the comments i guess lol

Answer:

(-4,1)

Step-by-step explanation:

I took the test

what is the volume of a rectangular prism with a length of 5 cm, a height of 3 cm, and a width of 10 cm?

Answers

Answer:

V=150cm³

Step-by-step explanation:

Formula: w×h×l

V rectangular prism: 10×3×5= 150cm³

Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?

Answers

Answer:

1/7

Step-by-step explanation:

$1, 7 students

simply put 1 over 7 and you've got your fraction.

each student will get 1/7 of a dollar

Niall hikes 250.6 meters up a mountain. If he is 70% of the way up, how many meters tall is the mountain?

Answers

Answer:

358

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Can you please not sit on my eggplant Because if 6 inches plus 6 inches is not 3 inches but it would be 12 inches then why would it be 12 inches if it wasn’t 3 inches?

Answers

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

Which of the following equations is non-linear?

a. x + 5y = y + 15
b. x + 15x + 30x - 15 = 10y - 15
c. 11x = 5y + 10 - x
d. 3x + 1 = -4x + 12 -2y 2

Answers

D--because it has y^2 in the equation and to isolate y you have to take the square root, the graph is going to be curved rather than linear.

Find the difference: (11x2+2x+16) – (2x2+x+2)​

Answers

Answer:

im a little confused so i hope this is right

Step-by-step explanation

(11*2+2x+16)= 38+2x

(2*2+x+2)= 6+x

38+2x-6+x= 32+x ??

38-6=32

2x-x= x or 2x+x=3x

2/3a-1/6=1/3 help please

Answers

Answer:

1/3a might be the correct answer...

Help please! I’m taking a math test and I’m stuck

Answers

Answer:

d = 79

Step-by-step explanation:

79 = a = d

Solve for k.k/2+1/2=3

Answers

Answer:

[tex] \frac{k}{2} + \frac{1}{2} = 3 \\ \frac{k}{2} = 3 - \frac{1}{2} \\ \frac{k}{2} = \frac{(6 - 1)}{2} \\ \frac{k}{2} = \frac{5}{2} \\ \boxed{k = 5}✓[/tex]

k=5 is the right answer.

Please helppp! I only have 10 minutes

Answers

what’s the question

Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. Ifm 21 = (5x + 5y)" and
m 22 = (5x + y)', find x andy.

Answers

Answer:

nopw

Step-by-step explanation:

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