4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the
perimeter of the new rectangle?
a. The perimeter of the new rectangle is half the original rectangle.
b. The perimeter of the new rectangle is twice the original rectangle.
c. The perimeter of the new rectangle is four times the original rectangle.
d. The perimeter of the new rectangle is one-fourth the original rectangle.

d. The perimeter of the new rectangle is one-fourth the original rectangle.

Step-by-step explanation:

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: