How many terms of the series 3, -6, +12, - 24, + ..... are needed to make a total of 1-28?
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2006
If y = x2 - x - 12, find the range of values of x for which y \( \geq \) 0
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2006
If T = 2 π √1/g, make g the subject of the formula
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2006
The sum of the first n positive integers is
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2006
THe cost of renovating a 6 m square room is N540. What is the cost of renovating a 9 m square room?
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2006
Solve the inequalities for which \(\frac{x+4}{3}-\frac{x-3}{2} < 4\).
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2006
Find the value of k if the expression kx3 + x2 - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1
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2006
A binary operation * on the set of rational numbers is defined as \(x \times y = \frac{x^2 - y^2}{2xy}find -5 \times 3\)
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2006
If p varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?
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2006
A binary operation θ defined on the set of real number is such that xθy = xy/6 for all x, y ∈ R. Find the inverse of 20 under this operation when the identity element is 6
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2006
The solution set of the shaded area above is
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2006
In the diagram above, PQ = 10 cm, PS = 8 cm and ∠PSR is 60\(^{\circ}\) while ∠SRQ is a right angle. Find SR
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2006
If the locus of the points which are equidistant from point P and Q meets line PQ at point N, then PN equals
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2006
PQRSTW is a regular hexagon and QS intersects RT at V. Calculate ∠TVS
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2006
What is the locus of points equidistant from the lines ax + bc + c = 0?
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2006
In the diagram above, find the value of x
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2006
In triangle XYZ, ∠XYZ = 15\(^{\circ}\), ∠XZY = 45\(^{\circ}\) and lXYl = 7 cm. Find lYZl.
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2006
PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q