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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.

In Exercises 11 to 22, sketch and describe each locus in the plane.

A furniture retailer provides free delivery (for purchases of $500 or more) for an area that is 60 miles or less from his store. Describe the locus of points characterized by locations for which free delivery is provided.

To determine

To describe:

The locus of points characterized by locations for which free delivery is provided.

Explanation

Definition:

A locus is set of all points and only those points that satisfy a given set of conditions.

Note that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

Take any arbitrary point O and draw a circle of radius 60 miles as shown in figure.

This is the locus of points characterized by locations for which free delivery is provided

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