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## Homework Statement

1)The normal to C ( 3y = x + 20 ) at P (4, 8) cuts the x-axis at the point Q.

Find the length PQ, giving your answers in a simplified surd form.

2) write [tex] \dfrac{2\sqrt{x} + 3}{x} [/tex] in the form [tex] 2x^p + 3x^q [/tex] where p and q are constants

## Homework Equations

y = mx + c? I'm not sure

## The Attempt at a Solution

for 1) i let y = 0 and got Q (-20,0) but i don't know how to find the length of the two points.

for 2)

[tex] \dfrac{3}{x} = 3x^{-1} [/tex] but i don't know what [tex]\dfrac{2\sqrt{x}}{x} [/tex] is.

thanks

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