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Mathematics 19 Online
OpenStudy (anonymous):

sketch the graph of (x-2)^2+(y-5)^2 is equal to or greater than 9

OpenStudy (anonymous):

i got the center & the radius, but what is x & y?

OpenStudy (anonymous):

Well, \(x\) and \(y\) are the axis

OpenStudy (anonymous):

yeah i know that part

OpenStudy (anonymous):

what i meant was what are the numbers

OpenStudy (anonymous):

Well, any pair of \(x\) and \(y\) for which the equation still are possible values for \(x\) and \(y\).

OpenStudy (anonymous):

One solution is \((5,5)\), another is \((-1,5)\), in fact there are an infinite number of solutions. If you were to graph each solution as a point, the points would create a circle.

OpenStudy (anonymous):

Hmmm, but since it says 'equal to or greater than', that would mean you will have to do shading.

OpenStudy (anonymous):

So all the points outside (but not inside) the circle also are solutions.

OpenStudy (anonymous):

|dw:1420415711560:dw|

OpenStudy (anonymous):

|dw:1420415731996:dw|

OpenStudy (anonymous):

|dw:1420415769222:dw| This is just the center, it's not a solution

OpenStudy (anonymous):

|dw:1420415796707:dw|These are solutions

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