1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inessss [21]
3 years ago
7

2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are (x_{1},y_{1})

 and (x_{2},y_{2}) at ratio m_{1}:m_{2} , then

 x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and

 y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

   are A = (3 , 2) and B = (6 , 11)

∴ (x_{1},y_{1}) is (3 , 2)

∴ (x_{2},y_{2}) is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

  the distance of the line AB, and the distance from the point (x , y)

  to point B is 1/3 from the distance of the line AB

∴ m_{1}:m_{2} = 2 : 1

∵ x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5

∴ The x-coordinate of the point of division is 5

∵ y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

You might be interested in
Select from the drop-down menus to correctly complete the sentence. The probability of a compound event is a number between 1.__
scoray [572]
The probability of any event is between 0 and 1. 0 means impossible and 1 means certain.

It could also be written with the percents: 0% and 100%.
5 0
3 years ago
Read 2 more answers
What is the answer and how do u get that answer
m_a_m_a [10]
C because he makes 1 1/2 liter and finishes it, which makes 0. A would be 1.50, b would be 2, and d -4
4 0
3 years ago
Tyrone saved $24 of the $60 he earned mowing lawns. what percent of his earnings did tyrone save?
tensa zangetsu [6.8K]

Answer:

none

Step-by-step explanation:

he bought a bunch of chicken and watermelon so he didnt save it

8 0
3 years ago
The area (in square feet) of the school sign can be represented by
yawa3891 [41]

Answer:

5x^2+2x-432

Step-by-step explanation:

15x^2+x-215×2+x−2

=15x^2+x-430+x−2

=15x^2+x+x-430-2

=15x^2+2x-432

3 0
2 years ago
What Is 368.7 divided by 18?
pashok25 [27]
The answer is <span>20.4833333</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • How to i solve for v for this following equation -19v = -17v – 14
    14·2 answers
  • At a zoo an asian elephants eats roughly 5% of its body weight each day.If an Asian elephant eats 300 pounds of food a day,How m
    12·1 answer
  • How do I get the area in this
    10·1 answer
  • A box contains 11 red chips and 4 blue chips. We perform the following two-step experiment: (1) First, a chip is selected at ran
    15·1 answer
  • Its the 1000 one anyone can help plzzzz
    14·1 answer
  • Replace each __ with greater than or less than symbol
    6·2 answers
  • 736•(119-166)+726-34
    14·2 answers
  • rammy has saved $26 for a new bicycle helmet that costs $47. let n represent the money he still needs to save. write an addition
    15·2 answers
  • Length = 4<br> Width = ?<br> Area = 60
    14·1 answer
  • Simplify 9+ (-2)^3 HELP PLEASE
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!