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This question was put to someone during their teacher training. This is a good question to ask, it is very important in maths to know that something you intend to study does actually exist. To explain the...

8 = 2^3 and 16 = 2^4. Substituting these into the above equation, we get 2^(9/4)*2^(x) = 2^(16/5). Using the laws of indices, we can derive the equation (9/4) + x = (16/5). In decimal form, this is 2.25 +...

4(2x-y) = 3ax - 5Step 1 - Expand 8x - 4y = 3ax - 5Step 2 - Collect like terms 8x - 3ax = 4y - 5Step 3 - Factorise x(8-3a) = 4y - 5Step 4 - Isolate x x = (4y - 5)/(8-3a)

To work out the distance travelled, you must multiply its average (mean) speed by the time for which it was travelling, therefore in this case, 750 x 73/10 (NB the time is 7 plus 18/60 or 3/10, not 7.18),...

First you rearrange the equation.It is known that tanθ=sinθ/cosθ therefore if we replace tanθ with sin/cos we get:sinθ/cosθ=2sinθIf you multiply both sides by cosθ this becomes:sinθ=2sinθcosθThen if you m...