exam Maths Puzzle Numerical Ability

Find the equation of a line passing through the points (3,6) and perpendicular to the line y=x+7

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exam Other Question

Let A=(0,0) and B=(12,5), and let C be the point on segment AB that is 8 units from A
Find coordinates for C

Thanks! Find theta for 0 degrees < or = to (less than or equal to) theta < 360 degrees.
a) tan theta= 0.932,sin theta<0
b) sin theta= -0.192,tan theta<0
c) sec theta= 2.047, cot theta<0