Determine whether the pair of lines is parallel, perpendicular, or neither.12x + 4y = 16 6x + 2y = 10
A. parallel
B. perpendicular
C. neither
Answer: A
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Solve the problem.By finding the slopes of the tangent lines to the curve of at the points where
and
find the acute angle between these lines at the point where they cross.
A. 0.1°
B. 3.1°
C. 3.7°
D.
27° |
Solve the problem.In how many ways can you exactly cover the last two diagrams with "dominoes" that are just the size of two small squares?Use inductive reasoning to investigate the number of ways that a 2 × n strip can be exactly covered with "dominoes".[Hint: consider the Fibonacci numbers F1 = 1, F2 = 1, F3 = 2, F4 = 3, F5 = 5, F6 = 8, F7 = 13, . . . ]
A. 10 ways; 28 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by
B. 8 ways; 34 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by the Fibonacci number Fn
C. 8 ways; 34 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by the Fibonacci number Fn+1
D. 9 ways; 15 ways
The number of ways that a 2 × n strip can be exactly covered with "dominoes" is given by 2n - 1
Add. +
A.
B.
C.
D.
Simplify the expression using the order of operations.(-4)2 - 32
A. 7 B. -14 C. -7 D. 25