book Maths Puzzle Numerical Ability

i cannot figure this out, will somebody please show me how to do this...thanks so much!
Find the value of p if the line joining the points (3,-6) and (p,10) is perpendicular to th

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book Other Question

Find an equation of the ellipse having the given points as foci and the given number as sum of focal radii.
(-9,0);(9,0); 30
What is the square root of x^3?