Simplify:




Mathematics

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Find the asymptotes of the hyperbola.7x2 - y2  - 84x + 6y - 100 = 0

A. y - 6 = (x - 3), y - 6 = -(x - 3)
B. y - 3 = (x - 6), y - 3 = - (x - 6)
C. y - 3 = 7(x - 6), y - 3 = -7(x - 6)
D. y - 3 = (x - 6), y - 3 = -(x - 6)

Mathematics

Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x - 1)2 = 8(y + 3)

A. vertex: (1, -3)  
focus: (1, -5)  
directrix: y = -1

B. vertex: (-3, 1)  
focus: (-3, 3)  
directrix: y = -1

C. vertex: (1, -3)  
focus: (1, -1)  
directrix: y = -5

D. vertex: (-1, 3)  
focus: (-1, 5)  
directrix: y = 1

Mathematics

Write in logarithmic form. 5 = 

A. log5/2 = 5
B. log5/25 = 
C. log5 =  
D.  =  

Mathematics

Solve the inequality. Write the solution set using interval notation and graph it.24z + 12 > 6(3z - 3)

A. (-?, -5)

B. (24, ?)

C. (-?, 24)

D. (-5, ?)

Mathematics