exam Maths Puzzle Numerical Ability

Floor plans for a building have the four corners to a room located at points (2,3), (11,6), (-3,18) and (8,21). Determine whether the side through the

points (2,3) and (11,6) is perpendicular to the side through the points (2,3) and (-3,18).

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exam Other Question

Find an approximate rational solution to 2x(2with exponent x) I tried to put in my TI89 as follows but it won’t give a decimal answer.
Solve(2^x=7,x)
Thanks!
please show me how to do solve by addition I get confused when one equation is neg and the other is pos. like this problem
x+y=2
x-y=4