m2 + n2 = 29
m + n = 7
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If two graphs y = px\(^2\) + q and y = 2x\(^2\) -1 intersect at x = 2, find the value of p in terms q.
Divide: \(a^{3x} - 26a^{2x} + 156a^{x} - 216\) by \(a^{2x} - 24a^{x} + 108\).
Evaluate \(\frac{(0.14^2 \times 0.275)}{7(0.02)}\) to 3 decimal places.
If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} - \frac{x^{2}}{y^{2}}\right)\)
Given that \(p = 1 + \sqrt{2}\) and \(q = 1 - \sqrt{2}\), evaluate \(\frac{p^{2} - q^{2}}{2pq}\).
Simplify \((\sqrt[3]{64a^{3}})^{-1}\)
Change 71\(_{10}\) to base 8
Find the values of t for which the determinant of the matrix \(\begin{pmatrix}t-4 & 0 & 0\\ -1 & t+1 & 1\\3 & 4 & t-2\end{pmatrix}\) is zero.
A matrix P \(\begin{pmatrix}a & b\\ c & d\end{pmatrix}\) is such that P\(^T\) = - P, where P\(^T\) is the transpose of P. If b = 1, then P is
The solution of the simultaneous inequalities \(2x - 2 \leq\) y and \( 2y - 2 \leq\) x is represented by
Use the diagrams above as the OPTIONS
A ship sails a distance of 50km in the direction S50ºE and then sails in the distance of 50km in the direction N40ºE. Find the bearing of the ship from its original position.
Audu bought an article for N50,000 and sold it to Femi at a loss of x%. Femi later sold the article to Oche at a profit of 40%. If Femi made a profit of N10,000, find the value of x.
The cumulative frequency curve represents the ages of ages of students in a school. What age group do 70% of the students belongs?
If the diagram is the graph of y = x\(^2\), the shaded area is
In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH
In the diagram above, if ∠RPS = 50o, ∠RPQ = 30o and PQ = QR, find the value of ∠PRS.