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 2 years ago
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
 2 years ago
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?

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sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1340399424345:dw

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3A circle with center ( a, b ) and radius r has equation given as \[(xa)^2+(yb)^2=r^2\] We are given equation of circle as \[(x – 16)^2 + (y + 9)^2 = 4\] @julie001 Can you compare the two equations to find the center and radius?

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1Center: (16, 9); Radius: 4 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 4

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3@sugargurl Please explain how did you get the answer?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3@julie001 where you have doubt?

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1comparintg the equations

sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1ANSWER IS THE 2ND CHOICE..:)

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1No sugargurl. Answer is NOT the second choice.

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Work step by step \[(xa)^2=(x16)^2\] so a=16 Now you could find b and r, using the same procedure

sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1YUO THE ANSWER IS THE 3RD CHOICE THANKS FOR CORRECTING ME @ MERTSJ

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1@ash2326 im still lost

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Did you understand how I found a?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Yeah, standard equation of a circle is \[(xa)^2+(yb)^2=r^2\] and the equation given in the question is \[(x16)^2+(y+9)^2=4\] We need to find the center (a, b) and radius r. So we compare the two equations \[(xa)^2=(x16)^2\] To make both sides equal a should be 16, so a=16 Now can you find b, by comparing \[(yb)^2=(y+9)^2\]

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1so its Center: (16, 9); Radius: 2

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Could you show me your work?

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1There is no work to show. We know that if the equation is written in the form: \[(xh)^2+(yk)^2=r^2\] then the center is (h,k) and the radius is r

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1i just plugged in the numbers with the equation

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1So write the given equation: \[(x16)^2+(y(9))^2=2^2\] and it is immediately obvious that the center is (16,9) and the radius is 2

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1@Mertsj is it Center: (16, 9); Radius: 2

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1and it is immediately obvious that the center is (16,9) and the radius is 2
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