Which ordered pair in the form (x, y) is a solution of this equation? (x + 6)y = 9 4, 1) (2, 1) (3, 1) (12, 2)

(3, 1)

substitute each ordered pair into the left side of the equation and if equal to the right side then it is a solution

(4, 1 )

(4 + 6) × 1 = 10 × 1 = 10 ≠ 9 ← not a solution

(2, 1 )

(2 + 6 ) × 1 = 8 × 1 = 8 ≠ 9 ← not a solution

(3, 1 )

(3 + 6 ) × 1 = 9 × 1 = 9 ← hence a solution

(12, 2 )

(12 + 6 ) × 2 = 18 × 2 = 36 ≠ 9 ← not a solution

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.