504 Sia \( A B C D \) un rettangolo in cui \( \overline{A B}=6 a \) e \( \overline{B C}=2 a \). Siano \( M \) ed \( N \), rispettivamente, i punti medi di \( A D \) e \( B C \). Determina, sul segmento \( M N \), due punti \( P \) e \( Q \), con \( M P<M Q \), in modo che: a. l'area del trapezio \( P Q C D \) superi di \( 5 a^{2} \) l'area del triangolo \( A P D \); b. l'area del triangolo \( B C Q \) sia \( \frac{1}{12} \) dell'area del rettan- golo \( A B C D \).

Angles 3 and 5 are \( \square \) and \( m \angle 5 \) is \( (2 x+11)^{\circ} \).

4.4 \( g \) is one of the axes of symmetry of \( f \) and it is a decreasing function. Determine the equation of \( g \). 4.5 \( (-3 ; 2) \) is a point on \( f \). Determine the coordinates of the image of this point after reflection in \( g \).

A ball bounces \( \frac{1}{2} \) of its previous height on each bounce. Find the total distance covered by the ball, until it comes to rest, if it is dropped from a height of 20 metres.

What results when a plane is parallel to the axis of a double-napped cone and passes through the vertex? point parabola two intersecting lines a single line

Find the equation of line perpendicular to \( 5 x-3 y+4=0 \) that passes through the point \( (-4,1) \).