If 2x - 3y = -11 and 3x + 2y = 3, evaluate \( (y - x)^2\)
The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.
Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.
a. A car travels a distance of 112 km at an average speed of 70 km/h. it then travels a further 60 km at an average speed of 50 km/h. Calculate, for the entire journey, the total time taken.
b. if \(\frac{x}{y}\) = 2 and \(\frac{y}{z}\) = 3, find the value of \(\frac{ x + y}{y + z }\)