Answer:9
Step-by-step explanation:
Answer:
72
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Therefore,
LCM(6, 8, 9) = 72
x^2 + y^2 = 9
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here h = 0, k = 0, x = 3 and y = 0:
(3 - 0)^2 + (0 - 0)^2 = r^2, or
9 = r^2. Thus, the radius is 3.
The equation of this circle is (x - 0)^2 + (y - 0)^2 = 9, or
y = 4/3x + 6
y = 4/3x + b
2 = 4/3(-3) + b
2 = -4 + b
6 = b