Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.4x2 - 12xy + 20y2 - 18x + 13y - 24= 0
A. -2u2 + 22v2 - 12.965u + 18.025v - 24 = 0; Hyperbola
B. 22v2 - 12.965u + 18.025v - 24 = 0; Parabola
C. 2u2 + 22v2 - 12.965u + 18.025v - 24 = 0; Ellipse
D. 4u2 + 18v2 - 12.965u + 18.025v - 24 = 0; Ellipse
Answer: C
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Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Cube roots of 5 + 5i
A. (cos 20° + i sin 20°),
(cos 140° + i sin 140°),
(cos 260° + i sin 260°)
B. (cos 20° + i sin 20°),
(cos 140° + i sin 140°),
(cos 260° + i sin 260°)
C. (cos 30° + i sin 30°),
(cos 150° + i sin 150°),
(cos 270° + i sin 270°)
D. (cos 20° + i sin 20°),
(cos 140° + i sin 140°),
(cos 260° + i sin 260°)
Solve the inequality.4x > 16
A. x > 2 B. x < 4 C. x < 1 D. x > 3
Write a formula for the general term (the nth term) of the arithmetic sequence.1, 4, 7, 10, 13, ...
A. an = 3n - 2 B. an = 2n - 3 C. an = n + 3 D. an = 3n + 2
Find the value of the indicated sum.
A. (1 - 2)2 - (3 - 2)2 = -2 B. -(1 - 2)2 + (2 - 2)2 - (3 - 2)2 = -2 C. -(1 - 2)2 -2(2 - 2)2 -3(3 - 2)2 = -4 D. -(1 - 2)2 + (2 - 2)2 - (3 - 2)2 = 2