Question

Someone explain or help?
A circle has the following equation:

x minus 1 quantity squared plus all of y minus 6 the whole squared is equal to 16 over 9

Which statement is true for the circle?

Its center is at the ordered pair of 3 over 2, minus 6, and the radius is 16 over 9.

Its center is at the ordered pair of 3 over 2, minus 6, and the radius is 4 over 3.

Its center is at the ordered pair of minus 3 over 2, 6, and the radius is 4 over 3.

Its center is at the ordered pair of minus 3 over 2, 6, and the radius is 16 over 9.

Answer 1

@ nenadmatematika please do you know how to do this?

Answer 2

\[(x-a)^{2}+(y-b)^{2}=r ^{2}\]
this is equattion of circle with center at (a,b) and radius r

Answer 3

the equation is

\[(x -1)^2 + (y - 6)^2 = \frac {16}{9}\]

the general form of a circle is

\[(x - h)^2 + (y - k)^2 = r^2\]

(h, k) is the centre of the circle and r is the radius.

find the centre and take the square root of r^2 to find the radius

Answer 4

so C?

Answer 5

I think..

Answer 6

reading your question the centre is (1, 6) and the radius r = 4/3

Answer 7

which doesn't match any of your listed answers

Answer 8

you've lost me...so the questions is wrong?

Answer 9

nooo you read it wrong lol

Answer 10

either the question is wrong or the answers are wrong...

Answer 11

@campbell_st is right the answers are all wrong, or the question information is wrong

Answer 12

its (x+3/2)*2 + (y+6)*2=16/9

Answer 13

I thought I was blind for a moment because I couldn't see the right answer...so it's possible you didn't write it correctly :D

Answer 14

ahhh

Answer 15

well thats different to the question you typed.

Answer 16

lol i copied and pasted it...from my worksheet.

Answer 17

but anyway, no answer match it, :)

Answer 18

well how would you do it...cause i still need help..

Answer 19

same problem as before no matches

Answer 20

ill rewrite all the answer

Answer 21

this last equation would have center at (-3/2,-6) and radius =4/3

Answer 22

lol that was one of answer chooses! I chose C in the beginning and it was right lol when i was first talking to myko

Answer 23

perhaps you should read a little about the equation of a circle... it may help