Given that \(sin x = \frac{4}{5}\) and \(cos y = \frac{12}{13}\), where x is an obtuse angle and y is an acute angle, find the value of sin (x - y).
If\((\frac{1}{9})^{2x-1} = (\frac{1}{81})^{2-3x}\)find the value of x
The table shows the operation * on the set {x, y, z, w}.
| * | X | Y | Z | W |
| X | Y | Z | X | W |
| Y | Z | W | Y | X |
| Z | X | Y | Z | W |
| W | W | X | W | Z |
Find the identity of the element.
Find the radius of the circle \(2x^2 + 2y^2 - 4x + 5y + 1 = 0\)
Given that M is the midpoint of T (2, 4) and Q (-8, 6), find the length of MQ .
