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I don't understand Pythagoras' theorem . What is it and how do you use it?

Ok, so the reason we need the Pythagoras theorem is to work out the length of missing side given we know the other 2 sides in a right-angled triangle. (Would go on to draw the triangle with the known sides a...
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Answered by Stefano M. • Maths tutor
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Differentiate with respect to x: y = xln[2x]

This is an example of a question where we would have to use the product rule for differentiation, because we have two functions multiplied together ( x and ln(2x) ).If we have: y = uv, where u and v are func...
MA
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Find the area of a kite with length 12cm and height 6cm.

The area of a kite is the (product of diagonal lengths)/2.A = (12 * 6)/2A = 36cm^2
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Answered by Theresa O. • Maths tutor
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Solve 8x + 9y = 3 and x + y = 0.

We have 8x + 9y = 3 [1] and x + y = 0 [2].We can make x or y the subject. Take y as subject we have y = -x [3].We substitute [3] into [1] and get 8x - 9x = 3 --> -x = 3 --> x = -3.Substituting x = -3 i...
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Answered by Theresa O. • Maths tutor
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Given that Y=(x+3)(x+5); find dy/dx

Y=(x+5)(x+3) ............(1)The above expression on the right is a product of two expressions,Hence, product rule differentiation method will be employed as stated below:Y(u,v)=U(x).V(x) .........(2)dy/dx=Ud...
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Answered by Dr Edosa O. • Maths tutor
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