Plot the point having the given polar coordinates.

A.

B.

C.

D.


Answer: D

Mathematics

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Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y - 2)2 - 16(x + 1)2 = 16

A. center: (1, -2)
transverse axis: x = 1
vertices: (1, -6) and (1, 2)
foci: (1, -2 - ) and (1, -2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
B. center: (-1, 2)
transverse axis: x = -1
vertices: (0, -1) and (0, 7)
foci: (0, 3 - ) and (0, 3 + )
asymptotes: y - 2 = - (x + 1) and y - 2 = (x + 1)
C. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -2) and (-1, 6)
foci: (-1, 2 - ) and (-1, 2 + )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (1, -4) and (-1, 4)
foci: (-1, - ) and (-1, )
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)

Mathematics

Simplify the expression. Write the answer using positive exponents.(r-7t)-3 

A. - r21 t3
B. r21t
C. - 
D.

Mathematics

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables. Then use back-substitution to find the solution.

A. {(-7, 80, 602, -517)} B. {(-517, 602, 80, -7)} C. {(-4, 0, 7, -8)} D. {(-2, 0, 17, -7)}

Mathematics

Find the amount that results from the investment.$1,000 invested at 11% compounded annually after a period of 2 years

A. $1367.63 B. $1232.10 C. $1110.00 D. $232.10

Mathematics