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Answer:
Width = Length + 11
Perimeter:
(2 × Width) + (2 × Length) = 54 Feet
Substitute Width = Length + 11,
(2)(Length + 11) + (2 × Length) = 54
Length + 11 + Length = 54 ÷ 2
2Length + 11 = 27
2Legth = 27 - 11 = 16
Length = 16 ÷ 2 = 8
Width = 8 + 11 = 19
0<x<1 and 0<y<1
x>0 so x is positive and y>0 so y is also positive.
When you multiply two positive numbers you always get a positive number, so the product of x and y must be positive, or greater than 0.
xy>0 - it must be true
xy<0 - it can't be true
Also when you divide a positive number by a positive number you always get a positive number, so the quotient of x and y must be positive.
x/y<0 - it can't be true
D and E can be true, but don't have to. It depends on the values of x and y. If x>y, then x-y>0 is true and x-y<0 isn't true; if x<y, then x-y>0 isn't true and x-y<0 is true.
Therefore, only A <u>must</u> be true.
