By completing the square in x and y, find the center and radius of the circle.
X^2+y^2+6x-4y=23

Center (-3, 2)  radius = 6

Step-by-step explanation:

x^2  +  y^2   + 6x  - 4y = 23

x^2  + 6x   +  y^2   - 4y = 23

x^2  + 6x   + ( 9 )    +  y^2   - 4y = 23   + ( 9 )

(x + 3)^2    +  y^2   - 4y = 23   + ( 9 )

(x + 3)^2    +  y^2   - 4y  +  (4 )   = 23   + ( 9 )  +  (4)

(x + 3)^2    +  (y -2)^2   = 23   + ( 9 )  +  (4)

(x + 3)^2    +  (y -2)^2   = 36

(x + 3)^2    +  (y -2)^2   = 6^2

Center is at (-3, 2)

...mysticchacha dot com

Radius = 6

From using formula  (x - h)^2 + (y - k)^2 = r^2

where (h, k) = center   and r = radius

do you have a picture of the table

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.