answer
width = 98 cm
length = 105 cm
set up equations
the perimeter of a rectangle = 2W + 2L
p = 2W + 2L
the perimeter is also 406
406 = 2W + 2L
we know that the length of the rectangle is 7 cm longer than the width so
L = W + 7
substitute equations and solve for width
plug L into p = 2W + 2L to get
406 = 2W + 2(W + 7) distribute the 2 to the terms in the parentheses
406 = 2W + 2W + 14
406 = 4W + 14
392 = 4W
W = 98
substitute equations and solve for length
now that we know the width, we can substitute W in L = W + 7 to find length
L = W + 7
L = 98 + 7
L = 105
final dimensions
width = 98 cm
length = 105 cm
Choice A) The vertical line test confirms that the graph is a function
True. It is impossible to pass a single vertical line through more than one point on this graph.
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Choice B) The domain is x >= 2
False. The domain is the set of all real numbers
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Choice C) The range is y >= 2
True. The smallest y value possible is y = 2. This is where the lowest part of the graph occurs.
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Choice D) This piecewise function is made up of four intervals
False. There are two intervals (the curved one on the left; the straight piece on the right)
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Choice E) Each interval of the piecewise function contains a graph of a linear function.
False. While the piece on the right is linear, the left portion is nonlinear (curved piece).
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In summary we have:
choice A) true
choice B) false
choice C) true
choice D) false
choice E) false
So the answers are choice A and choice C
4,110 is greater than 4.10 because 4,110 has more numbers while 4.10 and still no and also a matter of tenths :)
Answer:
P = 4n
Step-by-step explanation:
P = n + n + n + n
If you combine all the like terms you end up with:
P = 4n
Answer:
3/8 is #1
3/16 is #2
4/9 is #3
Step-by-step explanation:
