We know that
if <span>points a and b lie on the circle and O is the center
so
OA is the radius
OA=OB
5x-11=4(x-1)-----> 5x-11=4x-4----> 5x-4x=11-4-----> x=7
OA=5x-11-------> OA=5*7-11-----> OA=24 units
the diameter is (OA+OB)
2*OA------> 2*24------> 48 units</span>
Answer:
1 solution
Step-by-step explanation:
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-