exam Maths Puzzle Numerical Ability

Two lines have slopes 2k-4 and k+6. What value(s) of k will produce perpendicular lines? I think the answer is k=-4+or- sqrt66/2????????

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exam Other Question

Sorry, but I have one more question on the substitution method. It is a+b=5000 and 0.08a=0.06b-20 THANKS ALOT y^2+10y+21/y^2+12y+35 please show me how to simplify this expression and how to set it up correctly