help
which of the following is the equation of a circle with center(5,2) and a radius of 3?
(x-5)^2+(y+2)^2=9 (x+5)^2+(y-2)^2=9 (x-5)^2+(y+2)^2=3 (x+5)^2+(y-2)^2=3
the general equation is (x-h)^2 + (y-k)^2 = r^2 where h = your x-coordinate, k = your y-coordinate, and r = radius
so in your case, h = 5, k = 2, and r = 3
plug in those numbers into the equation and let me know what you get
which of the following us the equation of the circle shown below? |dw:1464401479681:dw| (x+3)^2+(y-5)^2=8 (x+3)^2+(y-5)^2=64 (x-3)^2+(y+5)^2=64 ** (x-3)^2+(y+5)^2=8
am i right for #2?
yes! good job
so for number one to clarify how do i plug it in to find the answer
(x-h)^2 + (y-k)^2 = r^2 h = 5, k = 2, r =3 so just replace h with 5, k with 2, and r with 3
the equation of a circle is (x+8)^2+(y+9)^2=169. which of the following are the center and the radius of the circle center=(-8,-9) radius=13 center=(8,9) ** radius=13 center=(-8,-9) radius=169 center=(8,9) radius=169
basically the opposite of what we just did
just compare (x+8)^2+(y+9)^2=169 with (x-h)^2 + (y-k)^2 = r^2 to find the h, k, and r values
so, since (x+8) = (x-h) , h = -8, etc...
for the first one i got (x-5)^2+(y-2)^2=3^2
good, that's correct
just change 3^2 to 9
so for the 3 one would it be A then?
yes!
and for #1 its A right
yes (make sure both signs are negative)
the equation of a circle is (x-7)^2+y^2=225. which of the following are the center and the radius of the circle center=(-7,0)** radius=15 center=(7,0) radius=15 center=(-7,0) radius=225 center=(7,0) radius225
not the first answer
(x - 7) = (x - h) h = ?
a circle with center (-2,6) passes through the point (-2,10). which of the following equation of the circle? (x-1)^2+(y-2)^2=36 (x+1)^2+(y+2)^2=17 (x-1)^2+(y-2)^2=17 (x+1)^2+(y+2)^2=36**
wait so what would 4 be again?
this one? the equation of a circle is (x-7)^2+y^2=225. which of the following are the center and the radius of the circle if x - 7 = x - h, then h = 7 and your x-coordinate is 7 not -7
oh poop i just realized for 5 i put the wrong choices
so for 4 its B right
good, yes
and ill re put the choices for 5 cuz i mixed them up
for this one, a circle with center (-2,6) passes through the point (-2,10). which of the following equation of the circle? there is one additional step
they don't give us the radius so we need to find it on our own
no extra step i just put wrong choices so give me a sec to re put
|dw:1464402619388:dw|
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