Which statement is not one of the axioms of Euclidean geometry? A. If two points lie in space, there is only one line that can pass through them.

B. If three points lie on the same line, there is only one plane that can pass through them.

C. If two points lie on a plane, the line containing them also lies on the plane.

D. If two planes intersect, their intersection is a line.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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: