Search over 10,000 free study notes

If two lines are parallel, then they will have the same gradient. The gradient of the curve is represented by m in the equation y=mx + c. For this question, if L2 is parallel to L1, m will therefore equal...

4(3x-2)=2x-5
Expand the brackets: 4(3x)-4(2)=2x-5 ---> 12x-8=2x-5Collect like terms, but beware of sign changes: 12x-2x-8=-5 (subtract 2 from both sides of the equation) -----> 10x...

To solve this problem we will use the principle of conservation of energy. The gravitational potential energy of the ball at the maximum height must be equal to the kinetics energy at the bottom plus the ...

First we need to start by multiplying the brackets on the right, which will give us:2x^2 + x = x^2 - 4x - 4Then we need to move everything that is on the right to left:2x^2 + x - x^2 + 4x + 4 = 0Here a co...

Always draw a diagram first to help with clarity.Correct use of Sine Rule:sin(A)/BC = sin(C)/ABTherefore sin(C) = ABsin(A)/BC sin(C) = 20sin(70)/100 sin(C) = 0.188 (rounded to 3 Significant Figures) C = a...