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anonymous
 one year ago
What is the equation of the following graph?
anonymous
 one year ago
What is the equation of the following graph?

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Equation of a circle with radius r, and center at (h, k). \((x  h)^2 + (y  k)^2 = r^2\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Start by finding two things: 1. What is the radius of the circle? 2. What are the coordinates of the center of the circle?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2@biddyB Are you there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry I was actually wrong! mathstudent55 is right. Sorry for the confusion!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, whew, I was really confused for a second. Thats ok, I get it now, thanks

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find the radius?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2First, find the center.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438645154737:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2I think you got the right idea, but the center is actually (0, 0) since it's a point. It needs to have an xcoordinate and a ycoordinate.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now that you know where the center is, the radius is the distance from the center point to any point on the circle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2It's easier if you measure along a horizontal or a vertical line.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2dw:1438645313174:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. The radius is 3. That means r = 3 The center of the circle is (0, 0). That means h = 0, and k = 0. Now we use these values in the equation above.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2\((x  h)^2 + (y  k)^2 = r^2\) \((x  0)^2 + (y  0)^2 = 3^2\) You see the substitutions of 0 for h, 0 for k, and 3 for r?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Now we just simplify to: \(\large x^2 + y^2 = 9\) That is the answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you! that was really well explained, I get it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For this one r=4? that seems too simple @mathstudent55

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. For the second problem, r = 4. Now you need to coordinates of the center. What are they? Remember, you are looking for an ordered pair of the form (x, y) for the center.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.2Correct. Now you let h = 3, k = 5, and r = 4, and you substitute these values in the equation of a circle.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(x3)^2 +(y5)^2=4^2 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's it, it doesn't get simplified any more?
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