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]

1. Calcula la longitud del lado que falta: \( \begin{array}{lll}\text { a) } b=24: c=18 & \text { b) } a=10: b=8 & \text { c) } a=61: c=11\end{array} \quad \) d) \( b=15: c=11 \)

Describe cómo calculas el volumen de a. un cubo.

\( 1^{\circ} \) a) Write \( \widehat{x O z} \) using \( \widehat{x O y} \) and b) Write \( \widehat{y O I} \) using \( \widehat{y O z} \) and c) Show that \( \widehat{x O z}=\widehat{y O t} \).

1. Тип 1 № 27238 В В треугольнике \( A B C \) угол \( C \) равен \( 90^{\circ}, A C=4,8, \sin A=\frac{7}{25} \). Найдите

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 \( 2 \overrightarrow{G B}+\overrightarrow{G C}=-3 \overrightarrow{A G}+2 \overrightarrow{A B}+\overrightarrow{A C} \).