Solve 6x\(^2\) = 5x - 1

(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x.

(b) Two positive numbers are in the ratio 3:4. The sum of thrice the first number and twice the second is 68. Find the smaller number.

Given that y =(\(\frac{pr}{m} - p^2r\))\(^{\frac{-3}{2}}\) 

(a) make r the subject;

(b) find the value of r when y = -8, m = 1 and p = 3.

A chord subtends an angle of 72º at the centre of a circle of radius 24.5m. Calculate the perimeter of the minor segment. [Take π = \(\frac{22}{7}\)

In the diagram, BCDE is a circle with centre

A. ∠BCD = (2x + 40)°, ∠BAD = (5x - 35)º, ∠BED = (2y+ 10)° and ∠ADC=40". Find:

(a) the values of x and y;