Write a linear function rule for the data in the table

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical form.