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anonymous
 one year ago
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20
The center is located at (1, 2), and the radius is 25.
The center is located at (1, 2), and the radius is 25.
The center is located at (1, 2), and the radius is 5.
The center is located at (1, 2), and the radius is 5.
anonymous
 one year ago
Using the following equation, find the center and radius: x2 + 2x + y2 + 4y = 20 The center is located at (1, 2), and the radius is 25. The center is located at (1, 2), and the radius is 25. The center is located at (1, 2), and the radius is 5. The center is located at (1, 2), and the radius is 5.

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misty1212
 one year ago
Best ResponseYou've already chosen the best response.3this is a job for "completing the square" you have to do it twice, once for \(x^2+2x\) and again for \(y^2+4y\) it is not too hard do you know how to do it?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3ok lets start with \[x^2+2x\] what is half of 2?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3right and now what is \(1^2\_?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3oops what is \(1^2\)?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3ok so we turn \[x^2+2x\] in to \[(x+1)^2\] and add 1 to the other side making it \[(x+1)^2+y^2+4y=21\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3now repeat with \(y^2+4y\) what is half of 4?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3right so turn \(y^2+4y\) in to \((y+2)^2\) and add 4 to the other side

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3now we are at \[(x+1)^2+(y+2)^2=25\] and from that you can read off the center and the radius as it is in standard form for a circle

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3you good from there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea so the answer is (1,2) radius 5?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.3\[\color\magenta\heartsuit\]

juanpabloJR
 one year ago
Best ResponseYou've already chosen the best response.1That was great but you can also try> \(\href{http:///bfy.tw/5Ay}{\sf \huge Click~for~Math~Help}\)
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