Answer:
The answer to your question is: 10 units
Step-by-step explanation:
P (-3, -12)
1.- Find the center of the circle
x² + y² = 6x - 8y + 24
x² - 6x + ( )² + y² + 8y + ( )² = 24
x² - 6x + (3)² + y² + 8y + (4)² = 24 + 9 + 16
(x - 3)² + (y + 4)² = 49
Center (3, -4)
2.- Find the distance between the center and the point given
Formula
d = 
Substitution
d = 
d = 
d = 
d = 
d = 10 units
Answer:
E & F
Step-by-step explanation:
First find the slope of the line
m = (6 + 6)/(-1 - 2) = 12/-3 = -4
Now use the point-slope form
y - 6 = -4(x + 1)
y - 6 = -4x - 4
y = -4x + 2
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