A few days ago
♥Evee♥

MaTh HelP pLeAsE!?

Okay, so this is a circle equation:

xSquared+ySquared-5x+4y-13=0

I need to split it into two functions.

So, the question is: … Begin by writing the circle as the union of two functions. Identify the functions that represent the top half and the bottom half of the circle.

Oh, and please tell me how you got it. Don’t just give me the answer.

Thanks. ♥BeautiifuLChick♥

Top 3 Answers
A few days ago
hayharbr

Favorite Answer

To do this you must solve for y. This requires completing the square. First get everything with no y in it over to the right by adding its opposite: (y^2 = y squared)

y^2 + 4y = -x^2 + 5x + 13

Then do the square and complete it

(y+2)^2 = -x^2 + 5x + 13 +4 = -x^2 + 5x + 17

square root both sides. This is where the two functions come in, one plus and one minus

y + 2 = +sqrt(-x^2 + 5x + 17) and

y + 2 = -sqrt(-x^2 + 5x + 17)

Now add -2 to both sides of each to get your two functions.

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A few days ago
Emmy Chang
okey. try it this way.

xsquared+ysquared-5x+4y-13=0

collect like teams. xsq.-5x+ysq+4y-13

x(x-5)+y(y+4 )-13=0 subtract the whole no- 13 in bot sides.

x(x-5)+y(y+ 4)- 13+13=0-13,

x+y= -13 ,x-5= -13, y+4= -13

finish it up , ican’t spoon feed you.

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4 years ago
opp
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