Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 10.7, Problem 9CYU
To determine

To find: The position of the cellar.

Expert Solution & Answer
Check Mark

Answer to Problem 9CYU

The exact location is (40,30).

Explanation of Solution

Given:

The one unit represents the one mile, the location of the caller is determined to be 50 miles from the tower of the origin.

The person is 40 miles from a tower at (0,30) and 13 miles from the tower (35,18).

Calculation:

The distance of the caller from the tower at the origin by the distance formula is,

  (h0)2+(k0)2=50h2+k2=2500

Consider the distance of the caller from the tower of the point (0, 30) by the distance formula as,

  (h0)2+(k30)2=40(h0)2+(k30)2=1600h2+(k30)2=1600

Consider the distance of the caller from the tower of the point (35, 18) by the distance formula as,

  (h35)2+(k18)2=13(h35)2+(k18)2=169

Subtract the second equation from the first as,

  h2+k2h2(k30)2=25001600k2(k30)2=90060k900=900k=30

Substitute k=30 in the equation h2+k2=2500 as,

  h2+(30)2=2500h=±40

Thus, the solution for the equations h2+k2=2500 and h2+(k30)2=1600 are (40,30),(40,30).

Substitute the points in the equation (h35)2+(k18)2=169 as,

  (4035)2+(3018)2=16925+144=169169=169

Also,

  (4035)2+(3018)2=1695625+144=1695769169

Thus, the exact location is (40,30).

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - 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