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First, for this graph dy/dx = 2x-8. At a turning point of any graph, dy/dx=0. Therefore 2x-8=0. x=4. Plug x value back into original graph formula : (4)^2 - 8(4) + 25 = 9. Therefore y=9. Coordinates : (4,...
This is an example of completing the square. Completing the square means taking a usual quadratic equation ax2+bx+c=0 and writing it as a(x+d)2+e=0, where we must find the numbers d ...
Let x be a number so that the sides of the triangle are 3x, 4x and 5x, because the ratio is 3 : 4 : 5. The perimeter is 3x+4x+5x=12x=72, meaning that x = 72/12 = 6. The sides of the triangle are 36=18...
Stage 1: Identify that the equation is a quadratic and that the question is asking you to find out which values 'x' fit this equation. Quadratics can be written algebraically in the form ax2+bx...
When we have 2 sides of a right angled triangle, we can use Pythagoras' Theorem to find the third missing side. This theorem states that if we label the hypotenuse (the side opposite the right angle) as <...
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