What is the equation of the line that is perpendicular to y = -4x + 1 and contains the point (4, -2)?​

The vertices of a rectangle are given in the columns of the matrix . if is found to perform a transformation, what are the coordinates of the transformed rectangle? (0, 0), (0, –3), (–3, –3), (–3, 0) (0, 0), (0, 3), (3, 3), (3, 0) (0, 0), (0, 3), (–3, –3), (–3, 0) (0, 0), (0, 3), (–3, 3), (–3, 0)

If 1/√5+1/√5+1=p+q√r , find the values of p, q and r

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle