Ab = (7x-6) →   b = (7x-6)/a   (1)
bc = (12-2x) → b = (12-2x)/c   (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR  a/c = (7x-6)/(12-2x)  (3)
Multiply  both numerators of (3) by the SQUARE of their  respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x)  or ac = -14x² + 96x - 72
        
             
        
        
        
Parabola: is a two-dimensional, mirror-symmetrical curve, which is
approximately U-shaped when oriented as shown in the diagram below, but
which can be in any orientation in its plane. It fits any of several
superficially different mathematical descriptions which can all be
proved to define curves of exactly the same shape.
Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type
of smooth curve lying in a plane, defined by its geometric properties or
by equations for which it is the solution set. A hyperbola has two
pieces, called connected components or branches, that are mirror images
of each other and resemble two infinite bows
Hope this Helps
        
                    
             
        
        
        
Answer:
BC is 25 units
Step-by-step explanation:
AB = AC
4x + 4 = 6x - 14
4x + 4 - 4x + 14 = 6x - 14 - 4x + 14
18 / 2 = 2x / 2
9 = x
2(9) + 7
18 + 7
25
Answer:  BC is 25 units