Atangent to the curve y=6x-x² cuts the x axis at point p. find the coordinates of p. me calc the coordinates

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:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.