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Write down the coordinates of the turning point of the graph y = x^2 – 8x + 25

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,...

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Answered by Adi R. Maths tutor
7988 Views

Write 2x^2 + 16x + 26 in the form a(x + d)^2 + e where a, d, and e are integers.

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 ...

HB
Answered by Hannah B. Maths tutor
8531 Views

Give three disadvantages of using an economic measure of development such as GNI.

Economic measures, especially simplistic measures such as GNI, can be misleading. Firstly, economic measures do not take any account of people’s quality of life which is important in social terms. Secondl...

SG
Answered by Suhani G. Geography tutor
37590 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.

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...

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Answered by Vlad P. Maths tutor
3046 Views

What is cytokinesis?

Cytokinesis is really just a fancy word for cell division. It is an important stage in both mitosis and meiosis that allows 2 new cells to be produced from 1. The way this is achieved is through the use o...

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Answered by Divine A. Biology tutor
6526 Views

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