Solve using the principle of zero products.
z
= 0
A. - ,
B. , 0
C. ,
D. - , 0
Answer: B
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Convert the improper fraction to a mixed number.
A.
B. 21
C. 234
D. 234
Solve the equation after making an appropriate substitution.x2/3 + 2x1/3 - 8 = 0
A. {-4, 2} B. {-2, 4} C. {-8, 64} D. {-64, 8}
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(y + 2)2 - 9(x - 4)2 = 9
A. center: (4, -2)
transverse axis is parallel to x-axis
vertices: (-4, -3) and (4, 3)
foci: (4, - ) and (4,
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
B. center: (-4, 2)
transverse axis is parallel to y-axis
vertices: (-4, -1) and (-4, 5)
foci: (-4, 2 - ) and (-4, 2 +
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
C. center: (4, -2)
transverse axis is parallel to y-axis
vertices: (5, -4) and (5, 2)
foci: (5, -1 - ) and (5, -1 +
)
asymptotes of y + 2 = - (x - 4) and y + 2 =
(x - 4)
D. center: (4, -2)
transverse axis is parallel to y-axis
vertices: (4, -5) and (4, 1)
foci: (4, -2 - ) and (4, -2 +
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
Solve the problem.The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a cylindrical log. (Round answers to the nearest tenth.)
A. w = 7.1 in.; d = 12.4 in. B. w = 9.1 in.; d = 12.4 in. C. w = 9.1 in.; d = 10.4 in. D. w = 8.1 in.; d = 11.4 in.