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yanalaym [24]
3 years ago
10

The equation of a circle is x^2+y^2-12y+27=0

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

The equation in graphing form:

(x-h)^2+(y-k)^2=r^2

Use: (*)\ a\pm b)^2=a^2\pm2ab+b^2

x^2+y^2-12y+27=0\\\\x^2+y^2-2\cdot y\cdot6+27=0\\\\x^2+\underbrace{y^2-2\cdot y\cdot6+6^2}_{(*)}-6^2+27=0\\\\x^2+(y-6)^2-36+27=0\\\\x^2+(y-6)^2-9=0\ \ \ \ |+9\\\\x^2+(y-6)^2=9

Answer: d) x^2+(y-6)^2=9

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Left side = Right side <em>so proof is complete</em>

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