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OpenStudy (anonymous):
write an equation of the circle with the given center and radius center: (-7,-6) and radius 2
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hartnn (hartnn):
Equation of circle with center (h,k) and radius 'r' is
\(\Large (x-h)^2+(y-k)^2 = r^2\)
hartnn (hartnn):
here,
h,k = -7,-6
r=2
just plug in!
OpenStudy (anonymous):
Okay so it'll be like this:
(x-(-7)^+(y-(6)^=2^
OpenStudy (anonymous):
Is this right?
hartnn (hartnn):
yes
whats \(\Large x-(-7) = ...?\)
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OpenStudy (anonymous):
'x' minus -7.
hartnn (hartnn):
two negatives become a positive!
OpenStudy (anonymous):
with the two negatives means the '7 turns into positive 7 right?
hartnn (hartnn):
yess
\(x-(-7) = x+7\)
\(y- (-6) = ...?\)
OpenStudy (anonymous):
y+6 right?
So it would be
(x+7)^ + (y+6)^=2 right?
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hartnn (hartnn):
you forgot to square the radius ?
\((x+7)^2 + (y+6)^2 = 2^2 \\(x+7)^2 + (y+6)^2 = 4 \)
OpenStudy (anonymous):
Okay so now I don't know what to do! What should I do next>
hartnn (hartnn):
thats the equation of your circle!
thats it!
OpenStudy (anonymous):
OOOOOOOOOH! Okay then! Thanks so much for the help again! You're a real life saver! I totally appreciate it!
hartnn (hartnn):
you're most welcome ^_^
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