Question

Another 20 Points...

Answer 1

Answer:

Step-by-step explanation:

alright lets get started.

We have given the equation of the circle as

$x^2+y^2+16x-24y+159=0$

adding and subtracting 64 from above equation

$x^2+y^2+16x-24y+159+64-64=0$

$x^2+16x+64+y^2-24y+95=0$

$(x+8)^2+y^2-24y+95=0$

adding and subtracting 144 from above equation

$(x+8)^2+y^2-24y+95+144-144=0$

$(x+8)^2+(y-12)^2-49=0$

$(x+8)^2+(y-12)^2=49$

Hence, this is the standard form of circle equation,

So, the center of the circle will be (-8,12).    answer

Hope it will help.

Answer 2

X^2 + 16x + 64 + y^2 - 24y + 144 = -159 + 64 + 144
(x +8)^2 + (y - 12)^2 = 49
Center: (-8,12)