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
baherus [9]
2 years ago
15

Work out the coordinate of R​

Mathematics
2 answers:
Natali [406]2 years ago
5 0

Answer:

The problem is with the arrangement of the ratios

PQ is the whole line but PR is a part of it only so you need QR to the ratio of PR

Lunna [17]2 years ago
5 0

Answer:

\huge{\red{ R=\bigg(-1.5,\: 2\bigg)}}

Step-by-step explanation:

  • Coordinates of the extreme points of the segment are P(-4, -1) and Q (6, 11)

  • \implies x_1= -4,\:y_1=-1,\:x_2=6,\:y_2=11

  • PQ = 4PR (Given)......(1)

  • PQ = PR + RQ.....(2)

  • -> 4PR = PR + RQ [From (1) and (2)]

  • -> 4PR - PR = RQ

  • -> 3PR = RQ

  • -> PR/RQ = 1/3

  • -> PR : RQ = 1 : 3

  • This means point R divides segment PQ in the ratio 1 : 3.

  • -> m : n = 1 : 3

  • Now, coordinates of point R can be obtained by the section formula for internal division, which is given below:

  • R=\bigg(\frac{mx_2+nx_1}{m+n},\:\frac{my_2+ny_1}{m+n}\bigg)

  • \implies R=\bigg(\frac{1(6)+3(-4)}{1+3},\:\frac{1(11)+3(-1)}{1+3}\bigg)

  • \implies R=\bigg(\frac{6-12}{4},\:\frac{11-3}{4}\bigg)

  • \implies R=\bigg(\frac{-6}{4},\:\frac{8}{4}\bigg)

  • \implies\huge{\red{ R=\bigg(-1.5,\: 2\bigg)}}
You might be interested in
(2tens1one) times 10
Elodia [21]

Answer:

210

Step-by-step explanation:

10+10+1=21

21 x 10=210

6 0
3 years ago
QUIZ
marta [7]

Answer:

B (5/8 - 6/8)

Step-by-step explanation:

Since we can just multiply the second fraction by two to get a similar denominator, we just need to multiply the second fraction.

5 0
3 years ago
Read 2 more answers
Brian is solving the equation x^2 - 3/4x= 5. What value must be added to both sides of the equation to make the left side a perf
Yakvenalex [24]
<span>((-3/4)/2)^2 = 9/64 I HOPE THIS HELP</span>
5 0
3 years ago
Read 2 more answers
Find the mean of this data set: {– 78, -12, 3, – 44}
blagie [28]

Answer:

<u>Answer</u><u>:</u><u> </u><u>A</u><u>.</u><u> </u><u>-</u><u>3</u><u>2</u><u>.</u><u>7</u><u>5</u>

\dashrightarrow{ \tt{mean =  \frac{ \sum f(n)}{n} }} \\

• f(n) are the values of the set

• n is the number of items

\dashrightarrow \: { \tt{mean =  \frac{ - 78 + ( - 12) + 3 + ( - 44)}{4} }} \\  \\  \dashrightarrow \: { \tt{ \frac{ - 131}{4} }} \\  \\  \dashrightarrow \: { \boxed{ \tt{mean =  - 32.75}}}

5 0
3 years ago
Enter the number that belongs in the green box cd=
qwelly [4]
57 because it is right n mark ne brain list please
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!! Make a box ­and ­whisker plot of the data.  24,18,29,21, 16,23,13,11 
    15·2 answers
  • Cassandra is creating an animated short film, and she needs 35 frames per second of film. He already has at least 200 frames.
    13·1 answer
  • Heeeeeelp me find part b with working out thanks
    10·1 answer
  • The system of equations has how many solutions? y=-3/2x+5 and y=-3/2x-3
    10·1 answer
  • maddie's bank account the time(hours) and Amount in account($) the order paris are (0,40),(1,49),(2,58),(3,67) what is the rate
    12·1 answer
  • Write 863.141 in expanded form
    11·1 answer
  • Slope is 9 and (−5, −1) is on the line.<br><br> The equation of the line in point-slope form is:
    10·1 answer
  • Find three consecutive odd integers such that
    9·1 answer
  • 2sin60°. cos60° = cos30°​
    8·2 answers
  • Assessment started: undefined.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!