Solve the problem.Use the angle sum formulas to derive sin (A - B) = sin A cos B - cos A sin B.

What will be an ideal response?


sin (A - B)
= sin (A + (-B))
= sin A cos (-B) + cos A sin (-B)
= sin A cos B - cos A sin B

Mathematics

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Factor completely, or state that the polynomial is prime.14y3 + 63y2 - 35y

A. prime B. 7y(2y - 1)(y + 5) C. 7y(2y + 1)(y - 5) D. y(14y - 7)(y + 5)

Mathematics

Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth.

A. 108.5 ft B. 15.5 ft C. 217 ft D. 14.731 ft

Mathematics

Solve the problem.The formula A = 159e0.023t models the population of a particular city, in thousands, t years after 2011. When will the population of the city reach 183 thousand?

A. 2019 B. 2018 C. 2017 D. 2016

Mathematics

Find the indicated term for the geometric sequence.4, 4, 24, ...; the 9th term

A. 5184
B. 864
C. 31,104
D. 5184

Mathematics