Write the equation in standard form by filling in the square and indicate the conical section it represents. displaystyle{2}{x}^{2}+{2}{y}^{2}-{8}{x}-{8}{y}={0}

glasskerfu 2020-11-11 Answered
Write the equation in standard form by filling in the square and indicate the conical section it represents.
2x2+2y28x8y=0
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Expert Answer

dessinemoie
Answered 2020-11-12 Author has 90 answers
Step 1
2x2+2y28x8y=0
2[x24x]+2[y24y]=0
2[(x2)24]+2[(y2)24]=0
2(x2)2+2(y2)2=16
Step 2
(x2)2+(y2)2=8
(x2)2+(y2)2=(22)2
Answer:
This equation represents a circle centered at (2,2) and radius of 22
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Jeffrey Jordon
Answered 2021-10-26 Author has 2047 answers

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