anonymous
  • anonymous
Hey! Okay, I'm working with a two circles and I need to find the standard form of another circle that is circumcentered to the first and tangent to the second. I have the slope of the line and the standard formula's of the given triengles but I don't know how to find the other point on the 2nd circle.
Mathematics
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anonymous
  • anonymous
Hey! Okay, I'm working with a two circles and I need to find the standard form of another circle that is circumcentered to the first and tangent to the second. I have the slope of the line and the standard formula's of the given triengles but I don't know how to find the other point on the 2nd circle.
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
your gonna have to send a pic i think
anonymous
  • anonymous
haha! Yeah, It's kind of hard to explain. I can type in the complete problem on the sheet but I don;t have a scanner.
amistre64
  • amistre64
use 'paint' on your computer...if you got windows that is

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anonymous
  • anonymous
ahh...okay, one moment...
amistre64
  • amistre64
like this :)
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anonymous
  • anonymous
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anonymous
  • anonymous
Okay, the circle on the bottom is the one that needs to be circumscribed and tangent to the other one on the outter side.
anonymous
  • anonymous
I know the standard formulas for the two circles here but I need the standard fromuls for the circle that circumscribes the bottom circle and is tangent to the top
amistre64
  • amistre64
kinda like this?
amistre64
  • amistre64
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anonymous
  • anonymous
yes!:)
amistre64
  • amistre64
whats equations of your circles then
amistre64
  • amistre64
you mention triangles, care to ellaborate?
anonymous
  • anonymous
well....not exactly triengles. The tengents of a circle....the line that intersects it at only one point. Top circle is....81=(x+4)^)squared)+(y-1)^squared bottom= 64=(x+2)squared+(y+4)squared
anonymous
  • anonymous
I'm so lost!
amistre64
  • amistre64
lets equate these 2 and see where they intersect
anonymous
  • anonymous
but they overlap, no?
amistre64
  • amistre64
if there is a solution to equating them then yes...so lets check it :)
amistre64
  • amistre64
if i did it right; they overlap at the line 4x-10y=20.... and that is providing i didnt mess it up lol
anonymous
  • anonymous
i have the answer and it says the equation is 484=(x+2)squared+ (y+4)squared
amistre64
  • amistre64
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amistre64
  • amistre64
heres your 2 circles plotted on the graph
amistre64
  • amistre64
and this would be your answer once the number are input
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amistre64
  • amistre64
if what you told me is right; then the new equation should equal between 196 and 225

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