Difference between revisions of "2006 AMC 12A Problems/Problem 19"

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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2006 AMC 12A Problems/Problem 18 | Previous problem]]
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* [[2006 AMC 12A Problems/Problem 20 | Next problem]]
 
* [[2006 AMC 12A Problems]]
 
* [[2006 AMC 12A Problems]]
  
  
 
[[Category:Intermediate Geometry Problems]]
 
[[Category:Intermediate Geometry Problems]]

Revision as of 17:31, 17 October 2006

Problem


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Circles with centers $(2,4)$ and $(14,9)$ have radii $4$ and $9$, respectively. The equation of a common external tangent to the circles can be written in the form $y=mx+b$ with $m>0$. What is $b$?

$\mathrm{(A) \ } \frac{908}{199}\qquad \mathrm{(B) \ } \frac{909}{119}\qquad \mathrm{(C) \ } \frac{130}{17}\qquad \mathrm{(D) \ } \frac{911}{119}$$\mathrm{(E) \ }  \frac{912}{119}$

Solution

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See also