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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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]
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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