We know that the line is tangent at the point (2,8)
The derivative of the function at x=2 is

So, the tangent line passes through the point (2,8) and has slope 2. The equation is

This line crosses the x axis where y=0:

Answer:
63
Step-by-step explanation:
The two tangents to a circle from the same point are the same length.
SD = SG
5x +18 = 8x -9
27 = 3x . . . . . . . . add 9-5x
9 = x . . . . . . . . . . divide by 3
SG = 8x -9 = 8·9 -9
SG = 63
Answer:
x = 10
Step-by-step explanation:
The figure is symmetrical, so 7x+5 = 9x - 15
7x + 5 = 9x - 15
5 = 2x - 15
20 = 2x
x = 10
Note that the figure is not drawn to scale, but computations don't lie :)