Difference between revisions of "1987 AIME Problems/Problem 2"

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== Problem ==
 
== Problem ==
 
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What is the largest possible distance between two points, one on the sphere of radius 19 with center <math>\displaystyle (-2,-10,-5)</math> and the other on the sphere of radius 87 with center <math>\displaystyle (12,8,-16)</math>?
 
== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|num-b=1|num-a=3}}
 
{{AIME box|year=1987|num-b=1|num-a=3}}

Revision as of 00:38, 11 February 2007

Problem

What is the largest possible distance between two points, one on the sphere of radius 19 with center $\displaystyle (-2,-10,-5)$ and the other on the sphere of radius 87 with center $\displaystyle (12,8,-16)$?

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions