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})
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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]
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