You have to add the numbers that have like terms together. For example you would add the 14 y and the -134y and get -120y and then you would add the 112, 2, and the -12 and get a 102
So your answer would be -120y+102
Answer: 
This value is exact. We can write this as 37.5*sqrt(3)
This approximates to roughly 64.9519
The units for the area are in square feet.
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Explanation:
Split the regular hexagon into 6 identical equilateral triangles.
Each equilateral triangle has side length x = 5 ft.
The exact area of one of the equilateral triangles is
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*5^2
A = 0.25*sqrt(3)*25
A = 0.25*25*sqrt(3)
A = 6.25*sqrt(3)
Multiply this by 6 to get the exact area of the regular hexagon.
6*A = 6*6.25*sqrt(3) = 37.5*sqrt(3) which is the exact area in terms of radicals or square roots.
If your teacher meant to say choice B is 37.5*sqrt(3), then that would be the final answer. If your teacher only said 37.5 without the sqrt(3) term, then there's a typo.
Answers:
- Function
- Function
- Not a function
- Not a function
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Explanation:
- Relation 1 is a function because any input item in the domain leads to exactly one and only one output item in the range. If we had say 2 arrows coming from "chair", and pointing to two different outputs, then we wouldn't have a function. It's perfectly possible to use words in place of numbers when talking about functions. All that matters is that we have one input map to exactly one output.
- Relation 2 is a function for similar reasoning as relation 1. It's possible to have an output repeated and still have a function.
- Relation 3 is not a function. Why not? Because of the points (j,v) and (j,t). The input j leads to more than output (v and t at the same time). A similar issue happens with the input 's' also.
- Relation 4 is also not a function. The repeated input this time is -5 which maps to the outputs z and 'a' at the same time.
The FOIL method x the first 2 number or each then then butter number the inner number
