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

Mathematics

You might also like to view...

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°)

Mathematics

Solve the inequality.4x > 16

A. x > 2 B. x < 4 C. x < 1 D. x > 3

Mathematics

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

Mathematics

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

Mathematics