Perform the indicated operations. Write the result in the form a + bj.j(9 - 4j)(5 - 4j)

A. 61 + 16j
B. -56 - 29j
C. 16j3 + 56j2 + 45j
D. 56 + 29j


Answer: D

Mathematics

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Solve.Find the center, vertices, foci, and asymptotes of the hyperbola x2 - 4y2 - 6x + 16y - 11 = 0

A. center at (2, 3)
vertices at (0, 3) and (4, 3)
foci at (2 - , 3) and (2 + , 3)
asymptotes of y - 3 = - (x - 2) and y - 3 = (x - 2)
B. center at (3, 2)
vertices at (2, 2) and (4, 2)
foci at (3 - , 2) and (3 + , 2)
asymptotes of y - 2 = - 2(x - 3) and y - 2 = 2(x - 3)
C. center at (3, 2)
vertices at (1, 2) and (5, 2)
foci at (3 - , 2) and (3 + , 2)
asymptotes of y - 2 = - (x - 3) and y - 2 = (x - 3)
D. center at (3, 2)
vertices at (3, 0) and (3, 4)
foci at (3, 2 - ) and (3, 2 + )
asymptotes of y + 2 = - 2(x + 3) and y + 2 = 2(x + 3)

Mathematics

Combine the complex numbers.(3 + 7i) - (-5 + i)

A. 8 + 6i B. 8 - 6i C. -8 - 6i D. -2 + 8i

Mathematics

Add. + 

A.
B.
C.
D.

Mathematics

Find the inverse, if it exists, of the given matrix.

A.

B.

C.

D.

Mathematics