Often we are interested in a point between two given points A and B which is not exactly at the midpoint. For example if A = 5,2] and B = [1,6] , how can we find the point N which lies on the line segment AB, and is one quarter of the way from A to B? This is the same as asking for the midpoint between A and the midpoint M = [3, 4] of the line segment AB, namely ON = }0Å+}OM. We could also write 1 ON = OÁ+ %3| 3 What is the point P, which is of the way from A to B in this case? It is given by OP +2OB ОВ + + [2,5] = yo})
Often we are interested in a point between two given points A and B which is not exactly at the midpoint. For example if A = 5,2] and B = [1,6] , how can we find the point N which lies on the line segment AB, and is one quarter of the way from A to B? This is the same as asking for the midpoint between A and the midpoint M = [3, 4] of the line segment AB, namely ON = }0Å+}OM. We could also write 1 ON = OÁ+ %3| 3 What is the point P, which is of the way from A to B in this case? It is given by OP +2OB ОВ + + [2,5] = yo})
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 4PT: Find the exact distance between (5,3)and(2,8) . Find the coordinates of the midpoint of the line...
Related questions
Question
![Often we are interested in a point between two given points A and B which is not exactly at the midpoint. For
5, 2] and B = [1,6| , how can we find the point N which lies on the line segment AB, and is one
example if A
quarter of the way from A to B? This is the same as asking for the midpoint between A and the midpoint
M = [3,4] of the line segment AB, namely
rož +vof = No
We could also write
ON = }0Å
1
A+
2
+
3
of the way from A to B in this case? It is given by
4
What is the point P, which is
OP = !
OA+ OB) +
2
OB
1+
OB
[2,5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd4c2e3f-51f7-4f55-97f5-e8142969ebb7%2Fb6451f8c-28f5-47f6-9c42-6a79a19a9ce9%2Fp4lkll_processed.png&w=3840&q=75)
Transcribed Image Text:Often we are interested in a point between two given points A and B which is not exactly at the midpoint. For
5, 2] and B = [1,6| , how can we find the point N which lies on the line segment AB, and is one
example if A
quarter of the way from A to B? This is the same as asking for the midpoint between A and the midpoint
M = [3,4] of the line segment AB, namely
rož +vof = No
We could also write
ON = }0Å
1
A+
2
+
3
of the way from A to B in this case? It is given by
4
What is the point P, which is
OP = !
OA+ OB) +
2
OB
1+
OB
[2,5]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning