The perimeter of a rectangle is 14 feet, and the area is 12 square feet. what is the width of the rectangle?

Given P=14, A=12

w=P

4+1

4P2﹣16A=14

4+1

4·142﹣16·12=4ft

w=P

4﹣1

4P2﹣16A=14

4﹣1

4·142﹣16·12=3ft

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: