The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.12, 16, 24
A. right triangle; 16
B. right triangle; 12
C. right triangle; 24
D. not a right triangle
Answer: D
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Solve the absolute value inequality. Write your answer in interval notation.|2k - 4| > -3
A.
B. (-?, ?)
C. ?
D.
Use the following table, which shows the number of applicants to various universities in 2016. Let the 12 universities listed represent the universal set. Use the information given by the table to represent the indicated set by the roster method, or use the proper notation to indicate that the set is the empty set.University2016 Total ApplicantsKatie U.42,121Green City U.32,398Burke State U.31,470S.W.U.35,027U. of Meredith33,006John Marie U.26,595Finn State U.36,789U. of Norris30,984Pi U.61,753Eastwestern72,409U.L.A.B.31,278Newton State U.29,437The set of listed universities that have between 30,000 and 40,000 applicants
A. {Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U. of Norris, U.L.A.B.} B. { } C. {Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U.L.A.B.} D. {Katie U., Green City U., Burke State U, S.W.U., U. of Meredith, Finn State U., U. of Norris, U.L.A.B.}
Perform the indicated operation and simplify. Write the answer in the form a + bi.(11 - 8i) - (1 + 2i)
A. 12 - 10i B. 10 - 6i C. -12 - 10i D. 10 - 10i
Solve the problem.In a certain region, the median age of men, y, at their first marriage in a particular year can be approximated by the equation where x represents the number of years after 1980 and y is in years. In the same region, the median age of women, y, at their first marriage in a particular year can be approximated by the equation
where x represents the number of years after 1980 and y is in years. If the current trend continues in this region, in what year will the median age of men at their first marriage equal the median age of women at their
first marriage? A. 2002 B. 1991 C. 2000 D. 2001