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
Artemon [7]
2 years ago
13

Locate the point on the line segment between A(3, -5) and B(13, -15) given that the point is 4/5 of the way from A to B. Show yo

ur work.
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                   A ( 3 , -5 )              B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

                              AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

                 d = OB - OA

                 d = < 13 , -15 > - < 3 , -5 >  

                 d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

                < x , y > = OA + s*d

                < x , y > = < 3, -5 > + s* < 10 , -10 >  

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

               < x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >  

               < x , y > = < 3 , -5 > + < 8 , -8 >  

              < x , y > = < 11 , -11 >   ... Answer

You might be interested in
Write the equivalent expression for 6x + 5y + 7x
Oksana_A [137]
I'm pretty sure it is d, you are combining the terms which is the same thing.
6 0
3 years ago
Read 2 more answers
Evaluate 0.3 + y/2 when y = 10 and z =5
Vladimir79 [104]

Answer:

0.3*10+10/5

PEMDAS (left to right)

3+2

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone help me with the question below. just number #1 please :)
Elenna [48]

Answer:

{ \bf{ \bar {MN}} \: means \: length \: between \: M \: and \: N}

MN means line joining point M to point N.

7 0
3 years ago
Read 2 more answers
15 POINTS-
Doss [256]
I think it’s $3.55
I think this because if u subtract 2.45- 45% = 1.10 sooo u will have to add $1.10 to 2.25 and that will add up the 45% that Walmart is paying with the original price.
8 0
2 years ago
I need information on rubix cubes and concentration
Angelina_Jolie [31]
Ubik's Cube is a 3 D combinations puzzle invented in 1974 by Hungarian sculptor and professors of architectures Ernő Rubyik. Originally called the Magic Cube,the puzzle was licensed by Rubik to be sold by Ideal Toy Corporation. in 1980 via businessman Tibor Laczi and Seven Towns founder Tom Kremer,and won the German game of the year special award for Best Puzzle that year. As of January 2009, 350 million cubes had been sold worldwide making it the world's top-selling puzzle game.It is widely considered to be the world's best-selling toy.

to play this game and to learn you need a lot of concentration and practice !
5 0
3 years ago
Other questions:
  • (3x3 + 11x2 + 4x + 1)/ (x2 + x)
    8·1 answer
  • One month ruby wokred 6 more hours than isaac and svetlana worked 4 times as many as ruby they together worked 126 hours how man
    11·1 answer
  • A football is selling for for 35% off the original price.The original price was $60 what is the sale price of the football?
    8·1 answer
  • Plz help me!!!! Is this right?
    12·2 answers
  • Find the sum: (3x^2 + 5x − 8) + (5x^2 − 13x − 5)
    7·2 answers
  • the next Science test will have 50 questions.How many questions does Julia need to answer correctly to recieve a score of 90%
    9·2 answers
  • www.g A survey of athletes at a high school is conducted, and the following facts are discovered: 19% of the athletes are footba
    13·1 answer
  • Please help, due tomorrow
    13·2 answers
  • How to solve the question
    14·1 answer
  • What is 15% of 71.40$
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!