In a set of geometric figures the mass of 4 pyramids and 2 cubes is 40 grams and the mass of 6 pyramids and 4 cubes is 68 grams. Which system of equations can be used to find the mass of a pyramid, p, and the mass of a cube, c? Answer choices:

A. 4p + 2c = 40
6p + 4c = 68

B. 4p - 2c = 40
6p - 4c = 68

C. 4p + 2c = 68
6p + 4c = 40

D. 4p - 2c = 68
6p - 4c = 40

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:

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: