Write the sum as a product. sin 4x + sin 5x

(a) sin 4x sin 5x
(b) sin 4x cos5x
(c) 2sin(9x / 2)cos(x / 2)
(d) sin 4x cos(x / 2)
(e) 2sin 3x cos(x / 2)


(c) 2sin(9x / 2)cos(x / 2)

Mathematics

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Determine by what factor the numbers differ. In other words, determine how many times larger the first number is than the second.5.6 × 108, 1.4 × 10-4

A. 4 × 104 B. 4.2 × 1012 C. 4 × 102 D. 4 × 1012

Mathematics

Use the Laws of Exponents to simplify. Write the answer with positive exponents. All variables are nonzero.

A. - 
B.
C.
D. - 

Mathematics

Solve.y varies directly as the square of x. If y = 72 when x = 3, find y when x is 9.

A. 648 B. 24 C. 27 D. 216

Mathematics

Establish the identity.sin(x + y) - sin(x - y) = 2 cos x sin y

What will be an ideal response?

Mathematics