In this exercise we use the Distance Formula. (a) Show that the points (9, 7) and (7, 9) are the same distance from the origin. The distance from the point (9, 7) to the origin is        . The distance from the point (7, 9) 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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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In this exercise we use the Distance Formula.

(a) Show that the points (9, 7) and (7, 9) are the same distance from the origin.
The distance from the point (9, 7) to the origin is
 
 
 
 .
The distance from the point (7, 9) to the origin is
 
 
 
 .

(b) Show that the points (ab) and (ba) 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
 
 
 
 .
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