For the given direct statement, write the indicated related statement (converse, inverse, or contrapositive).q ? (~p ? r) (contrapositive)

A. (p ? ~r) ? ~q
B. ~q ? (p ? ~r)
C. (~p ? r) ? q
D. q ? (p ? ~r)

Answer: A

Mathematics

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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. - = 1

A. center at (0, 0)
transverse axis is x-axis
vertices at (-10, 0) and (10, 0)
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5
B. center at (0, 0)
transverse axis is x-axis
vertices at (-2, 0) and (2, 0)
foci at (-10, 0) and (10, 0)
asymptotes of y = - 5 and y = 5
C. center at (0, 0)
transverse axis is y-axis
vertices at (0, -2) and (0, 2)
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5
D. center at (0, 0)
transverse axis is x-axis
vertices at (-2, 0) and (2, 0)
foci at (- 2, 0) and (2, 0)
asymptotes of y = - 5 and y = 5