A rectangle has a length that is unknown but is 12 inches longer than its width, w. The perimeter of the rectangle is 104 inches. (a) Write an expression for the length of the rectangle in terms of w. Label it on the diagram. (b) Write an equation using the perimeter to find the value of w. Solve it for w.

and

Step-by-step explanation:

We know that the following equation represents the problem:

So this means that we can do this:

We know that is 104. We need to fix our current equation, giving us:

We can subtract 24 to give us as a standalone with a coefficient.

Then, simply divide the answer by the coefficient to give us the answer of:

is 20.

college

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: