a. Determine the radius and the co-ordinates of the centre of the circle given by the equation \[ x^{2}+y^{2}+8 x-2 y+8=0 \] [5 marks] b. Find the point of intersection of the circle \( x^{2}+y^{2}-2 x-8 y-6=0 \) and the line \( x+y=2 \) c. Find the equation of the tangent and the length of the tangent to the circle \( 4 x^{2}+4 y^{2}-2 x+5 y-8=0 \) from the point \( (-4,4) \). 5 marks \( ] \) d. Given the circle \( (x-2)^{2}+(y+3)^{2}=16 \), sketch the graph of the circle. [5 marks]

a) Zeichne den Graphen folgender Funktionen in ein gemeinsemes Koordinatensysiem: (1) \( y=2 x+1 \) (2) \( -2 x-1 \) (3) \( y=2 x-1 \) b) Gib die Schnitpunkte der drei Geraden an.

163 Soit \( A B C \) un triangle. Soit I le milieu du segment \( [A C] \) et \( G \) le point tel que: \[ \overrightarrow{G A}+2 \overrightarrow{G B}+\overrightarrow{G C}=\overrightarrow{0} \] 1. a. À l'aide de la relation de Chasles, montrer qu'on a l'éaglité \( 2 \overrightarrow{G B}+\overrightarrow{G C}=-3 \overrightarrow{A G}+2 \overrightarrow{A B}+\overrightarrow{A C} \).

Describe cómo calculas el volumen de a. un cubo.

22. A rectangular foor of a room measures 5.4 m long and 4.2 m wide. The room is to be covere with square tiles. Calculate the minimum number of square tiles that can be used to cover the floor.

12-inch pizza: \( r=12 / 2=6 \) So \( A=\pi(6)^{2}=113.1 \), square inches