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Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2:...

i is the unit vector (magnitude of 1) in the direction of the positive x-axis. j is the unit vector in the direction of the positive y-axis. The magnitude of F would be the length of ...

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x²+10x+240 = x²+10x-390 = (x-3)(x+13)
x-3=0 so x=3x+13=0 giv...

Setting the two equations equal to one another to find the intersection boundaries:x^2+16x+4=6x+4; x^2+16x+4-6x-4=0; x^2+10x=0;x(x+10)=0; x=0, x=-10. Setting up the vol...

Isolate the 'ln term'
2ln(2x+1) = 10ln(2x+1) = 5
Take to the exponential power form
e^(ln(2x+1)) = e^52x+1 = e^5
Simplify
2x = e^5 -1x = (e^5-1)/2