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The longest straight line within the cuboid is the diagonal from a corner to the corner diagonally from it (show diagram), call this D. So to find out whether the pole will fit, find this length, if it is...

Superficially, the Arab-Israeli conflict appears to be a victimisation of one state by another. However, this initial hypothesis is disputed by complexities such as interventions and mediations from globa...

f(x) = cx + d f(0) = c0 + d = d = -6 => d = -6 f(2) = c2 + d = c2 + -6 = 10 => c2 - 6 = 10 => c = (10 + 6) / 2 => c = 8

Find the value of x in (4⁵⋅x+32²)⋅2⁵=2¹⁶⋅x

First we transform everything into powers of 2 as all the numbers involved in...

There are 4 key steps to this question.

(i) calculate the matrix of minors: you want to find the determinant of each entry and this forms a new matrix. 

(ii) convert this into a matrix of co...