An open box is made from a 40-cm by 80-cm piece of tin by cutting a square from each corner and folding up the edges. The area of the resulting base is 2736 cm2. What is the length of the sides of the squares?

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2

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: