Simplify: (x – 4)(x2 – 3x – 9) a x3 + x2 – 3x – 36 b x3 – 7x2 – 21x + 36 c x3 – 7x2 + 3x + 36 d x3 – 4x2 – 12x + 36

Dylan and dusty plan to take weekly surfing lessons together. if the 2-hour lessons are $20 per person and they plan to spend $100 each on new surfboards, what is the maximum number of lessons the two can take if the total amount spent for lessons and surfboards is at most $480?

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Prove the following(cot0+cosec0)[tex](cot0 + cosec0) { }^{2} = \frac{1 + cos0}{1 - cos0} [/tex]