Find the radius of the circle $x^{2} + y^{2} + 6 x - 6 y - 18 = 0$ .

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A box contains 7 red and 6 blue balls. Two balls are taken at random without replacement. Find the probability that they are of different co…
A straight line passes through $(- 2, 5)$ and $(1, 8)$ . Find the value of $y$ when $x = 9$ .
Evaluate $x \to 7 lim \frac{x ^{2} - 49}{x - 7}$ .
If $α$ and $β$ are the roots of $x^{2} + 11 x + 30 = 0$ , find $α^{2} + β^{2}$ .
Find the coordinates of the centre of the circle $x^{2} + y^{2} + 2 x - 4 y - 20 = 0$ .
Evaluate $lo g_{2} 32 + lo g_{2} 8 - lo g_{2} 4$ .