Trigonometry
22 Online
OpenStudy (anonymous):
Write the equation of the circle centered at (9 , -10 ) that passes through (19,15).
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OpenStudy (anonymous):
first find the distance between (9 , -10 ) and (19,15).
this will give the radius
OpenStudy (anonymous):
equation of the circle centred at (h,k) and radius a unit is given by
(x-h)^2 +(y-k)^2=a^2
OpenStudy (anonymous):
thats the part im having issues with... i keep getting 5\[\sqrt{13}\]
OpenStudy (anonymous):
for the distance
OpenStudy (anonymous):
have u checked ur calculation
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OpenStudy (anonymous):
ya its not right... but idk what i did wrong
OpenStudy (anonymous):
i can show you what i did
OpenStudy (anonymous):
distance between (9,-10) and (19,15)
=sqrt ( (19-9)^2 + (15+10)^2 )
OpenStudy (anonymous):
ok show
OpenStudy (anonymous):
\[d=\sqrt{(19-9)^2+(15+10)^2}\]
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OpenStudy (anonymous):
\[\sqrt{10^2+25^2}\]
OpenStudy (anonymous):
\[\sqrt{100+225}\]
OpenStudy (anonymous):
\[\sqrt{325}\]
OpenStudy (anonymous):
correct
=sqrt(100+625)
so u get sqrt(725) =(sqrt(5*5*29) = 5*29
OpenStudy (anonymous):
25^2=625
but u are writing 325 as 15^2=325
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OpenStudy (anonymous):
oh wow i messed up 25^2 -_-
OpenStudy (anonymous):
thx ur awesome
OpenStudy (anonymous):
so its \[5\sqrt{29}\] ?
OpenStudy (anonymous):
yup
any yw
OpenStudy (anonymous):
1 more question... how do i make it into the radius?