x varies directly as the product of u and v and inversely...
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
3
4
6
9
Correct answer is C
\(x\propto \frac{uv}{u+v}\\x = \frac{kuv}{u+v}\\K = \frac{x(u+v)}{uv}\\\frac{3(3+1)}{3\times1}\\\frac{3\times4}{3}\\k = 4\\x=\frac{4uv}{u+v}\\x=\frac{4\times 3\times3}{3+3}\\x=\frac{36}{6}\\x=6\)
PQRS is a cyclic quadrilateral. Find \(x\) + \(y\)...
In the diagram, \(\overline{PU}\)/\(\overline{SR}\), \(\overline{PS}\)/\(\overline{TR}\), ...
If two smaller sides of a right angled triangle are 4cm and 5cm, find its area ...
Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)...
Find then equation line through (5, 7) parallel to the line 7x + 5y = 12 ...
If (-3, -4) is a point on the line y = mx + 2 find the value of m....
Sn is the sum of the first n terms of a series given by Sn = n\(^2\) - 1. Find the nth term...