Identify the equation without applying a rotation of axes.9x2 - 6xy + 3y2 - 3x + 4y + 8 = 0

A. parabola
B. ellipse
C. hyperbola
D. circle


Answer: B

Mathematics

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Factor completely.p2qr + 8pqr - 48qr

A. qr(p + 12)(p - 4) B. (pqr - 48)(p + qr) C. (pqr + 12)(p - 4qr) D. qr(p - 12)(p + 4)

Mathematics

Perform the indicated operation.2 + 

A.
B.
C.
D.

Mathematics

Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 20

A. 4b B. 2a + b C. 2a + 2b D. a + b

Mathematics

Use synthetic division to find the quotient and the remainder when the first polynomial is divided by the second polynomial. 2x5 - x4 + 3x2 - x + 5; x - 1

A. quotient: 2x4 + x3 + x2 + 4x + 3; remainder: 8 B. quotient: 2x4 - 3x3 - x; remainder: 6 C. quotient: 2x4 + x3 - x2 + 2x + 1; remainder: 6 D. quotient: 2x4 + x3 + 4x2 + 3x; remainder: 8

Mathematics