anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
campbell_st
  • campbell_st
use 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
  • triciaal
|dw:1436990750032:dw|
triciaal
  • triciaal
center (0,0) |dw:1436990958298:dw|

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More answers

triciaal
  • triciaal
equation 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
  • triciaal
|dw:1436991295757:dw|
triciaal
  • triciaal
one 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
  • triciaal
do you see how to do it now?
anonymous
  • anonymous
I 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
  • triciaal
I would have to do the problem
campbell_st
  • campbell_st
if 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
  • campbell_st
well I have an answer, and the centre contains fractional values for x and y
triciaal
  • triciaal
post your answer and will check it later
anonymous
  • anonymous
|dw:1437175931767:dw|
triciaal
  • triciaal
|dw:1436992391537:dw|
anonymous
  • anonymous
I found an answer for x which is -1.5 but the answer I got for y is 1/4(5-2x)
anonymous
  • anonymous
Is that correct
triciaal
  • triciaal
|dw:1436992999048:dw|
triciaal
  • triciaal
sorry have to leave
anonymous
  • anonymous
Its okay Ill figure out the y part
triciaal
  • triciaal
|dw:1437015241447:dw|
triciaal
  • triciaal
center (x, y) = (-3/2, 1/2)
triciaal
  • triciaal
yes what you have for y is incomplete substitute the value for x

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