Question

Circle P is defined by the equation (x-4)^2+(y+3)^2 =49. Which of the following shows the location of the center of circle P and the radius of this circle?

Answer 1

standard form of the eq of a circle centre (a,b) radius "r"

(x-a)^2 + (y-b)^2 = r^2

Answer 2

you should be able to work it out from here

Answer 3

@alekos beat me to it - just work from there
but be careful of the signs... (+/-)

Answer 4

is it G then? i was confused between G and I

Answer 5

I'm not going to confirm your answer

Look at the formula = (a,b) is the centre where (x-a) and (x-b) are in the formula.

Check the signs...

Answer 6

But the final answer 7 or 49 confuses me

Answer 7

I'm not going to confirm your answer

Look at the formula: (a,b) is the centre where (x-a) and (x-b) are in the formula.

Check the signs...

The final part of the equation says "=r^2" i.e. radius squared

Answer 8

kay its G then my confusion is over

Answer 9

!!!!
CHECK YOUR SIGNS

Answer 10

then F since 4 must be positive and for -3 too -s equal addition

Answer 11

this is equation of a circle right?

Answer 12

the general equation has (x-a) : your equation has (x-4) so what is a?
the general equation has (y-b) : your equation has (y+3) so what is b?
the general equation has r^2 : your equation has 49 so what is r?

Answer 13

a is 4 and b is -3 ....and r^2 is 7^2 unless im getting confused by the equation mentioned at the top showing 49

Answer 14

you are correct - but what is confusing? 49 = 7^2

Answer 15

becuz for some reason i didnt know if i should pick 7^2 or 49 but i understood now

Answer 16

this is equation of a circle right?

Answer 17

The question (and @alekos ) tell you that it is a circle