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Mathematics 14 Online
OpenStudy (song_of_the_sole):

help

OpenStudy (song_of_the_sole):

which of the following is the equation of a circle with center(5,2) and a radius of 3?

OpenStudy (song_of_the_sole):

(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

Vocaloid (vocaloid):

the general equation is (x-h)^2 + (y-k)^2 = r^2 where h = your x-coordinate, k = your y-coordinate, and r = radius

OpenStudy (cynthiers):

Vocaloid (vocaloid):

so in your case, h = 5, k = 2, and r = 3

Vocaloid (vocaloid):

plug in those numbers into the equation and let me know what you get

OpenStudy (song_of_the_sole):

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

OpenStudy (song_of_the_sole):

am i right for #2?

Vocaloid (vocaloid):

yes! good job

OpenStudy (song_of_the_sole):

so for number one to clarify how do i plug it in to find the answer

Vocaloid (vocaloid):

(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

OpenStudy (song_of_the_sole):

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

Vocaloid (vocaloid):

basically the opposite of what we just did

Vocaloid (vocaloid):

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

Vocaloid (vocaloid):

so, since (x+8) = (x-h) , h = -8, etc...

OpenStudy (song_of_the_sole):

for the first one i got (x-5)^2+(y-2)^2=3^2

Vocaloid (vocaloid):

good, that's correct

Vocaloid (vocaloid):

just change 3^2 to 9

OpenStudy (song_of_the_sole):

so for the 3 one would it be A then?

Vocaloid (vocaloid):

yes!

OpenStudy (song_of_the_sole):

and for #1 its A right

Vocaloid (vocaloid):

yes (make sure both signs are negative)

OpenStudy (song_of_the_sole):

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

Vocaloid (vocaloid):

not the first answer

Vocaloid (vocaloid):

(x - 7) = (x - h) h = ?

OpenStudy (song_of_the_sole):

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**

OpenStudy (song_of_the_sole):

wait so what would 4 be again?

Vocaloid (vocaloid):

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

OpenStudy (song_of_the_sole):

oh poop i just realized for 5 i put the wrong choices

OpenStudy (song_of_the_sole):

so for 4 its B right

Vocaloid (vocaloid):

good, yes

OpenStudy (song_of_the_sole):

and ill re put the choices for 5 cuz i mixed them up

Vocaloid (vocaloid):

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

Vocaloid (vocaloid):

they don't give us the radius so we need to find it on our own

OpenStudy (song_of_the_sole):

no extra step i just put wrong choices so give me a sec to re put

OpenStudy (song_of_the_sole):

|dw:1464402619388:dw|

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