exam Maths Puzzle Numerical Ability

I have to solve this problem algebraicly to verify that these equations will produce Pythagorean Triples....

p(2n+p)squared + 2n(n+p)squared = 2n(n+p)+p squared

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exam Other Question

A line passing through (4, 20) and (6, y) is parallel to a line with slope -7. What is the value of y? Coming out of the grocery store, Ebree has has eight coins, none of which is a half-dollar, that add up to $1.45. Unfortunately, on the way home she loses one of them. Which type of coin did she most likely use?