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
max2010maxim [7]
3 years ago
11

Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)

You might be interested in
What is the Square root of 18?<br><br><br><br> ​
Eduardwww [97]

Answer: The square root is: 4.243

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An aircraft travels for 30 minutes at an average speed of 37 mph. how far did the airplane travel?
kupik [55]

Answer:

1.23 repeating

Step-by-step explanation:

divide 37 and 30

7 0
2 years ago
I need help with these two .
stira [4]

Answer:

6 .Cant find the answer there

cos i had 3b( 9c +3a +c )

7. -3x -17y

4 0
2 years ago
Simplify: 6v+v+1 learned at beggining of year btw
Readme [11.4K]

Answer:

7v +1

Step-by-step explanation:

6v+v+1

Combine like terms

7v +1

5 0
3 years ago
(4x-5)+2(3x+1)<br> Can you help me solve this plz for me
Korvikt [17]

Answer:

10x - 3

Step-by-step explanation:

First, distribute 2 to all terms within the second parenthesis:

2(3x + 1) = (2 * 3x) + (2 * 1) = 6x + 2

4x - 5 + 6x + 2

Combine like terms (terms with the same amount of variables).

4x + 6x + 2 - 5

(4x + 6x) + (2 - 5)

10x + (-3)

10x - 3

10x - 3 is your answer.

~

8 0
3 years ago
Read 2 more answers
Other questions:
  • Detections for the last 2/3 : whirred the equation in point-slope form and slope-intercept form for each line
    14·2 answers
  • If (2m) k=6 then mk=
    11·1 answer
  • I need help with 25-27 please
    9·1 answer
  • 20% of what number is 12
    13·2 answers
  • WILL GIVE BRAINLIEST!! Please check my answer
    9·1 answer
  • The sum of 3 consecutive numbers is 99 what are the numbers ​
    5·1 answer
  • If someone could help me out :)
    10·1 answer
  • Your math teacher instructed you to draw a square with 16 cm perimeter, she then asked you to connect the midpoints of its side
    10·1 answer
  • Can anyone help me with this ?? pleasee and thank you.
    15·2 answers
  • Determine if the sides form a right triangle.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!