Use the brute force algorithm to find a minimum Hamilton circuit for the graph. Also, determine the total weight of the minimum Hamilton circuit.
A. Minimum Hamilton circuits are A ? C ? B ? D ? E ? A and A ? C ? E ? B ? D ? A; 
B. Minimum Hamilton circuit is A ? C ? B ? E ? D ? A; weight = 45
C. Minimum Hamilton circuit is A ? B ? D ? E ? C ? A; weight = 49
D. Minimum Hamilton circuits are A ? C ? B ? D ? E ? A and A ? E ? C ? B ? D ? A; 
Answer: A
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Graph.y = 
+ 3
A. 
B. 
C. 
D. 
Write one or more inequalities that describe the set of points.The rectangular solid in the first octant bounded by the planes x = 6, x = 9, y = 6, y = 8, 
and 
(planes excluded)
A. 6 < x < 9; 6 < y < 8; 1 < z < 2 B. x < y < z C. The given planes do not form a rectangular solid D. x < 6, x > 9; y < 6, y > 8; z < 1, z > 2
Solve the system by the elimination method. x + 9y = 273x + 10y = 30
A. {(0, 3)} B. {(-3, 0)} C. ? D. {(1, 2)}
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x + 4)2 - 9(y + 2)2 = 9
A. center at (-2, -4)
transverse axis is parallel to x-axis
vertices at (-5, -4) and (1, -4)
foci at (-2 - 
, -4) and (-2 + 
, -4)
asymptotes of y + 4 = - 
(x + 2) and y + 4 = 
(x + 2)
B. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-5, -2) and (-3, -2)
foci at (-4 - 
, -2) and (-4 + 
, -2)
asymptotes of y + 2 = - 3(x + 4) and y + 2 = 3(x + 4)
C. center at (-4, -2)
transverse axis is parallel to y-axis
vertices at (-4, -5) and (-4, 1),
foci at (-4, -2 - 
) and (-4, -2 + 
),
asymptotes of y - 2 = - 3(x - 4) and y - 2 = 3(x - 4)
D. center at (-4, -2)
transverse axis is parallel to x-axis
vertices at (-7, -2) and (-1, -2)
foci at (-4 - 
, -2) and (-4 + 
, -2)
asymptotes of y + 2 = - 
(x + 4) and y + 2 = 
(x + 4)