Show that the points (6, 5) and (5, 6) are the same distance from the origin. The distance from the point (6, 5) to the origin is . The distance from the point (5, 6) to the origin is . (b) Show that the points (a, b) and (b, a) are the same distance from the origin. The distance from the point (a, b) to the origin is . The distance from the point (b, a) to the origin is
Show that the points (6, 5) and (5, 6) are the same distance from the origin. The distance from the point (6, 5) to the origin is . The distance from the point (5, 6) to the origin is . (b) Show that the points (a, b) and (b, a) are the same distance from the origin. The distance from the point (a, b) to the origin is . The distance from the point (b, a) to the origin is
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 31E
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(a) Show that the points (6, 5) and (5, 6) are the same distance from the origin.
The distance from the point (6, 5) to the origin is |
|
The distance from the point (5, 6) to the origin is |
|
(b) Show that the points (a, b) and (b, a) are the same distance from the origin.
The distance from the point (a, b) to the origin is |
|
The distance from the point (b, a) to the origin is |
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Let point A= (6,5) and point B=(5,6)
Distance between two points is calculated as
We have to show that point A and point B are at the same distance from the origin
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