Use the definition of a parabola and the distance formula to find the equation of a parabola with directrix y = –3 and focus (–4, 1).
A) y² + 8y – 8x + 24 = 0
B) y² – 8y – 8x + 8 = 0
C) x² + 8x – 8y + 24 = 0
D) x² – 8x – 8y + 8 = 0
C) x² + 8x – 8y + 24 = 0
Mathematics
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Solve the problem.Find the tangent line(s) at the pole for the curve 
A. ? = 
(y = 
x), ? = 
, (y = 
x), ? = 
(x = 0)
B. ? = 
(y = 
x), ? = 
(x = 0), ? = 
(y = - 
x)
C. ? = 0 (y = 0), ? = 
(x = 0), ? = 
(y = -
x)
D. ? = 0 (y = 0), ? = 
(y = 
x), ? = 
(y = -
x)
Mathematics
Find the values of x for which the geometric series converges.
A. |x| < 20
B. |x| < 1
C. |x| < 10
D. |x| < 
Mathematics
Determine whether the ordered pair is a solution of the given linear equation.7x - 5y = 28; (0, 4)
A. no B. yes
Mathematics
Solve the equation by the method of your choice. Simplify irrational solutions, if possible.2x2 + 12x = - 3
A. 
B. 
C. 
D. 
Mathematics