pre-calc math problem ! circles tangent to each other, find the common internal tangent?

hamiltonc36

New member
so this is the problem; you are not allowed to use calc (NO DERIVATIVES) only pre-cal and simple algebra is required/allowed.

a) the circles x^2 + y^2 =20 and (x-6)^2 + (y-3)^2=5 are tangent. find the coordinates of the point of tangency and then find the equation of the common internal tangent shown. (hint: how is this line related to the line containing the centers)

b) if you subtract the equations of the two circles from each other, you get a linear equation. find this equation compare it to that of the equation in part a.
 
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