Solve. x2 - 3y2 = 14x2 + 3y2 = 19
A. (-1, 2) and (1, -2)
B. (2, 1) and (-2, -1)
C. (2, 1), (2, -1), (-2, 1), (-2, -1)
D. (1, 2), (-1, 2), (1, -2), (-1, -2)
Answer: C
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Integrate the function., x >
A. ln
+ C
B. ln
+ C
C. ln
+ C
D. ln
+ C
Describe a one-to-one correspondence between the given set and one of its proper subsets. For example, if we gave you the set {3, 5, 7, 9, 11, ...}, the nth term is 2n +1. You could then write the correspondence by matching the elements of {3, 5, 7, 9, 11, ...} with the elements of the subset {5, 7, 9, 11, 13, ...}. The general correspondence would match 2n + 1 with 2n + 3.{6, 8, 10, 12, ...}
A.
6, | 8, | 10, | 12, ..., | 2n + 8, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
B.
6, | 8, | 10, | 12, ..., | 2n + 5, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 7, | ... |
C.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
D.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
7, | 9, | 11, | 13, ..., | 2n + 6, | ... |
Solve the problem.Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles 72° and 108°. (Refer to the illustration.) A point O is chosen on the diagonal 1 unit from Y. Line segments OX and OZ are drawn to the other vertices. The two resulting tiles are called a kite (figure OXYZ) and a dart (figure OXWZ). Find the area of the kite tile and the dart tile, correct to the nearest 0.01.
What will be an ideal response?
Find the value of the expression.log22
A.
B. -
C. 2
D. - 2