In the coordinate plane, which equation describes the locus of points 5 units from the point (–2, 2)?

Question

jim_thompson5910 · Answer

hint: if you keep coming back to something over and over again, then you are going in _____

anonymous · Answer

sane

jim_thompson5910 · Answer

lol no

jim_thompson5910 · Answer

in circles

anonymous · Answer

close enough lol

jim_thompson5910 · Answer

so that's what the locus they want you find, the equation of the circle

jim_thompson5910 · Answer

in this case, 

center: (-2,2)
radius: 5

anonymous · Answer

this is confusing their answers are  A.   
    (x + 2)2 + (y – 2)2 = 25
   
  
 
 
 B.   
    (x – 2)2 + (y + 2)2 = 5
   
  
 
 
 C.   
    (x – 2)2 + (y + 2)2 = 25
   
  
 
 
 D.   
    (x + 2)2 + (y – 2)2 = 5

jim_thompson5910 · Answer

remember the last problem how I used (x-h)^2+(y-k)^2=r^2

anonymous · Answer

yeah

jim_thompson5910 · Answer

well all you do is plug in h = -2, k = 2 and r = 5 and simplify things a bit

jim_thompson5910 · Answer

(x-h)^2+(y-k)^2=r^2

(x-(-2))^2+(y-2)^2=5^2

I'll let you handle the last step

jim_thompson5910 · Answer

able to figure it out?

jim_thompson5910 · Answer

or no?

anonymous · Answer

nope

jim_thompson5910 · Answer

(x-(-2))^2+(y-2)^2=5^2

(x+2)^2+(y-2)^2=25

don't worry if you don't get it the first few times, keep practicing though

anonymous · Answer

you are my favorite person in the whole world right now, thanks! lol

jim_thompson5910 · Answer

lol aw i feel special, glad I could be of help