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find the gradient of the line y=2x^2-12x+16 at the coordinates (5,6)

dy/dx = 4x - 12 x-coordinate= 5 so sub in 20-12 = 8
Answered by • Maths tutor
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Find x and y using the equations 3x + y= 10, x + y = 4

First of all there are 3 different methods of working out simultaneous equations: Elimination, Substitution and Graphical. Today I will show the substitution method. If x + y = 4 then rearranging the equatio...
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Answered by Tobi O. • Maths tutor
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Jay, Shelia & Harry share £7200 in the ratio 1:2:5. How much does Harry receive?

Explain how the ratio shows everyone's share of the £7200: 1:2:5 (Jay's share:Sheila's Share:Harry's Share)Add up the terms of the ratio to find out many equal parts the £7200 is split into: 1+2+5=8 (parts)W...
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Answered by Philip B. • Maths tutor
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A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.5 2 = x 2 + 1.5 2 x 2 = 6.5 2 - 1.5 2 x 2 = 42.25 - 2.25 x 2 = 40 x = sqrt(40) x = 6.32 (to 3sf) = 6.32m
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Answered by Pollyanna B. • Maths tutor
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How to do Indices?

There are different rules when it comes to indices. First of all we will look at the example of multiplying two expressions . For example, y 2 x y 4 . Here we need to do the addition rule, so add 2 and 4 to ...
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Answered by Taha H. • Maths tutor
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