Complete the identity.cos 
= ?
A. sin x
B. cos x
C. -cos x
D. -sin x
Answer: D
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Add or subtract as indicated. Write the answer in simplest form.
+ 
A. 
B. 
C. 
D. 
Provide an appropriate response.
(i) List the sequence of hexagonal numbers. that corresponds to the sequence of dot patterns above. These are called (ii) What is the ninth hexagonal number?(III) Determine a formula for the nth pentagonal number pn.
A. (i) 1, 7, 22, 50, .... (ii) Ninth hexagonal number: 170 (iii) hn = (n + 1)(2n - 1) B. (i) 1, 6, 15, 28, .... (ii) Ninth hexagonal number: 41 (iii) hn = 5n - 4 C. (i) 1, 6, 15, 28, .... (ii) Ninth hexagonal number: 153 (iii) hn = n(2n - 1) D. (i) 1, 7, 22, 50, .... (ii) Ninth hexagonal number: 144 (iii) hn = 2n(n - 1)
Solve the problem.The cost of tuition at a community college is given by C(x) = 490 + 54x, where x is the number of credit hours. Interpret the slope of this function as a rate of change.
A. The tuition at the community college increases by $54 for each additional credit hour. B. The tuition at the community college increases by $490 for each additional 54 credit hours. C. The tuition at the community college increases by $490 for each additional credit hour. D. The number of credit hours increases by 54 for each increase of $490 in tuition.
Assume triangle ABC has standard labeling. Determine if AAS, ASA, SSA, SAS, or SSS is given, and decide if the law of sines or the law of cosines should be used to solve the triangle.?, c, and ?
A. ASA; law of cosines B. AAS; law of cosines C. AAS; law of sines D. ASA; law of sines