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anonymous
 one year ago
Does anyone know how to do this? Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of the circle.
anonymous
 one year ago
Does anyone know how to do this? Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2). Find the coordinates of the center of the circle.

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0use the distance formula as the distance from any point on the circumference is always equal so OA = Ob = OC this will give the equation or locus or the circle you'll then need to factor it to a standard form

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436990750032:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1center (0,0) dw:1436990958298:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1equation of a circle with center (0,0) x^2 + y^2 = r^2 where r is the radius in this sketch the radius is OR

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436991295757:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1one approach is to plot the points first then as above also given by @campbell_st find OA, OB and OC same as OR in the sketch solve for (x,y)

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1do you see how to do it now?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I hate to ask but Do you guys know the answer, I mean I would do it but I just wanna finish this homeschool already

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1I would have to do the problem

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0if you use the distance formula OA = OB then \[\sqrt{(x  0)^2 + (y  0)^2} = \sqrt{(x + 3)^2 + (y  0)^2}\] so this becomes \[x^2 + y^2 = x^2 + 6x + 9 + y^2\] this will allow you to solve for x. to get y use the distance between OA and OC \[\sqrt{(x  0)^2 + (y  0)^x} = \sqrt{(x 1)^2+(y  2)^2}\] which becomes \[x^2 + y^2 = (x 1)^2 + (y 2)^2\] substitute the answer for x that you got in the previous calculation then solve for y

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well I have an answer, and the centre contains fractional values for x and y

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1post your answer and will check it later

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1437175931767:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436992391537:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I found an answer for x which is 1.5 but the answer I got for y is 1/4(52x)

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436992999048:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Its okay Ill figure out the y part

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437015241447:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1center (x, y) = (3/2, 1/2)

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1yes what you have for y is incomplete substitute the value for x
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