Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.25y2 - 16x2 = 400

A. center at (0, 0)
transverse axis is y-axis
vertices: (0, -4), (0, 4)
foci: (- , 0) , (, 0)
asymptotes of y = -  and y =
B. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-5, 0), (5, 0)
asymptotes of y = -  and y =
C. center at (0, 0)
transverse axis is y-axis
vertices at (0, -4) and (0, 4)
foci at (0, - ) and (0, )
asymptotes of y = -  and y =
D. center at (0, 0)
transverse axis is x-axis
vertices: (-5, 0), (5, 0)
foci: (- , 0) , (, 0)
asymptotes of y = -  and y =

Answer: C

Mathematics

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Factor by grouping.3xy + 6x + 7y + 14

A. (3x + y)(7y + 2) B. (3x + 7y)(y + 2) C. (3x + 7)(y + 2) D. (3x + 2)(y + 7)

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Mathematics

Decide if the statement “If a triangle with sides a, b and c, with c the longest side, is a right triangle, then is true or false.Then form its converse and decide if its converse is true or false. If both the statement and its converse are true, write the biconditional that is equivalent to both statements.