(x - 5)2 + (y + 9)2 = 144
Which statement is true?
The circle is centered at (-5, -9) and has a diameter of 12.
The circle is centered at (5, -9) and has a radius of 12.
The circle is centered at (5, 9) and has a diameter of 12.
The circle is centered at (5, 9) and has a radius of 12.
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OpenStudy (aravindg):
The equation of a circle is
\[(x-h)^2+(y-k)^2=r^2\]
where (h,k) is centre and r is radius .Can you answer it now?
OpenStudy (anonymous):
So would it be C?
OpenStudy (aravindg):
nope?Try again
OpenStudy (jim766):
it will be the opposite of each number in the parenthese
OpenStudy (anonymous):
D? The original is (x - 5)2 + (y + 9)2 = 144 so I thought maybe 12 was the diameter
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OpenStudy (aravindg):
nooo!
OpenStudy (anonymous):
Okay then I'm confused
OpenStudy (aravindg):
Its r^2 on right 144=12^2
12 is radius!!
OpenStudy (jim766):
opposite of -5 is 5
opposite of 9 is -9
OpenStudy (aravindg):
Its r^2!!
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OpenStudy (anonymous):
So it is D
OpenStudy (aravindg):
nope
OpenStudy (jim766):
(5, -9)
OpenStudy (aravindg):
notice there is a difference here from general equation
OpenStudy (anonymous):
B
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OpenStudy (anonymous):
Y'all both are confusing me lol
OpenStudy (aravindg):
Its (x+9)=(x-(-9)
Hence center will be (5,-9) and radius 12