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anonymous
 one year ago
The equation of a circle is in the form x^2 +y^2 +Cx+Dy+E=. Find an equation of the circle shown in the illustration by determining C,D, and E
anonymous
 one year ago
The equation of a circle is in the form x^2 +y^2 +Cx+Dy+E=. Find an equation of the circle shown in the illustration by determining C,D, and E

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1where is the illustration, please?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444143802955:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1here as we can see the center of your circumference is at point \((3,0)\)

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1sorry, we have to replace the coordinates of the points you provided, into your generic equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How? I'm so confused

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1for examnple, your circumference passes at point \((0,0)\) so I replace \(x=0,y=0\) into your equation, so I get this: \[{0^2} + {0^2} + C \cdot 0 + D \cdot 0 + E = 0\] what is \(E\)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Even plug in the points (3,3) and (6,0)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you so much

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have to write and solve a system of three equations in the three unknowns C, D, and E. Then write the equation of the circle in general form:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! correct! As you can see we have an algebraic system with 2 unknowns, since we have already determined E as \(E=0\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But don't we have to come up with 3 systems

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1if we replace \(x=3,y=3\) into your equation,we get: 9+9+3C+3D=0 that is the first equation of our system, the first one is E=0

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1if we replace \(x=6,y=0\), we get: 36+0+6C+0.D=0 that is the third equation

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please solve those new equations with respect to C and D
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