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Find the coordinates of the turning point of the equation y =x^2-8x+10

We know that the turning point of this quadratic will be a minimum point because the coefficient of x2 is positive (1). To find the turning point, we must complete the square: y= (x-4) 2 -16 +10 so y= (x-4) ...
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Answered by Sita R. • Maths tutor
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What is the main differences between a Parliamentry and Presidential systems?

Parliamentry and Presidential systems are two of the most common governmental systems used. The two oldest and most prominent examples of these systems are the British and American systems respectively. The ...
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Answered by Gareth K. • Politics tutor
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The acid dissociation constant, Ka, of ethanoic acid is 1.78 x 10^-5 at 298K. Given that the concentration of a sample of ethanoic acid is 0.4moldm^-3, calculate its pH at 298K.

Using the acid dissociation equation, Ka = [H+][A-]/[HA]. (where Substitute the known values into the concentration to give 1.78x10 -5 = [H+][A-]/0.4 . Because the acid is dissociating in solution the acid d...
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Answered by Sita R. • Chemistry tutor
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What was the main causes of the First World War?

The causes of the First World War are numerous and varied, with long and short term factors but the main reason was the formation of Germany threatening the Balance of Power of Europe. Britain's foreign poli...
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Answered by Gareth K. • History tutor
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The length of a rectangle is five times the width. The area of the rectangle is 1620cm2. Work out the width of the rectangle.

For this question, we need to know the formula for finding the area of a rectangle is (length * width)From the question, Width = w; Length = 5wArea = 5w *w =1620cm 2 . therefore, 5w 2 = 1620cm 2 . Divide bot...
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Answered by Eme H. • Maths tutor
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