Mathematics
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OpenStudy (pandalife):
MEDAL + FAN
a circle has its center at (-3,2) and a radius of 5 units.what is the equation of the CIRCLE?
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OpenStudy (bibby):
what is the generall form equation of a circle?
OpenStudy (pandalife):
THATS all they ask me
OpenStudy (bibby):
whoops, meant center-radius form
OpenStudy (bibby):
\(\large (x-h)^2+(y-k)^2=r^2\) where r is the radius and the center is (h,k)
OpenStudy (pandalife):
can we do it together?
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OpenStudy (bibby):
you haven't even bought me dinner yet.
OpenStudy (bibby):
just plug in the information they've given you. you have the center (h,k) = (-3,2)
plug that into the \(\large (x-h)^2+(y-k)^2=r^2\) equation
OpenStudy (bibby):
for example if our circle was at 1,3 it'd look like \((x-1)^2 + (y-3)^2\)
(2,-4) would look like \((x-2)^2 + (y--4)^2=(x-2)^2 + (y+4)^2\)
OpenStudy (pandalife):
(x--3)2 + (y-2)2=?
OpenStudy (bibby):
yeah, good job. now what is r?
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OpenStudy (pandalife):
5
OpenStudy (pandalife):
??
OpenStudy (bibby):
yeah!!
OpenStudy (pandalife):
so what do we do now?
OpenStudy (bibby):
nothing. we have the equation
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OpenStudy (pandalife):
can you write it out for me so i can see how it looked squared
OpenStudy (bibby):
just in case it isn't clear,
\((x--3)^2 + (y-2)^2=5^2\) simplify it yourself
OpenStudy (pandalife):
no help and i paid for dinner?
OpenStudy (bibby):
you bought dinner just to get into my reputably loose pants
OpenStudy (bibby):
what is (x--3)? what is 5^2?
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OpenStudy (pandalife):
x3+25?
OpenStudy (bibby):
x3?
OpenStudy (pandalife):
?
OpenStudy (bibby):
x3+25?
what does that even mean? I asked you for 2 different expressions not a sum
OpenStudy (pandalife):
can you help me
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OpenStudy (bibby):
I've given you the answer bro \(\huge (x--3)^2 + (y-2)^2=5^2\)
OpenStudy (pandalife):
thanks