Search over 10,000 free study notes

x = 110y = 30From x: y = 11:3 we can rearrange to find x = 11y/3 or y = 3x/11We can then substitute into x + y = 140 to get 11y/3 + y = 14y/3 = 140 y/3 = 10 y = 30once we have y, we can find that x + 30 =...

Making x the subject means we must rearrange the equation to get it into the form 'x='First, we need to get all the x's on one side; to do so, we will subtract 2x from each side to give 2x+7-2x=5x-2x. Thi...

Firstly, we can put the values given in the question into our equation.v² = 2w - x²Goes to ...v² = 2(40) - (4)²After we do the multiplication and indices, the e...

Firstly, let us try to calculate the values for a and b to obtain an equation for the curve. To do this we will substitute the coordinates we are given into y=x² + ax + b:Substituting in (0, -5...

Completing the square is an algebraic method that can be used to solve a quadratic equation and find the coordinates of a turning point of a graph. Let's use x² + 4x -5 = 0 are our example.Firs...