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What is Pythagoras' Theorem for finding the length of a side of a triangle?

Pythagoras' Theorem can only be used on right angle triangles. To find the length of side a, the theorem can be used as follows:
a2=h2-b2
Taking the square root ...

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Answered by Eloise S. Maths tutor
2794 Views

Find the differential of f(x)=y where y=3x^2+2x+4. Hence find the coordinates of the minimum point of f(x)

The differential of f(x) is f'(x)=6x+2 because we apply this basic formula: the differential of kxn = knxn-1 where k is a constant.This ...

Answered by Maths tutor
3209 Views

Factorise x^2 + 5x + 6

Firstly, look at the number in front of the x term. This is 5Then look at the number at the end without an x term. This is 6.What 2 numbers would add to make 5, and multiply to make 6?? + ? = 5 ? x ?=6Thi...

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Answered by Ravneet M. Maths tutor
3142 Views

A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expan...

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Answered by Harry T. Maths tutor
3438 Views

The variables x and y are related by y = 5^x. How do I find the value of x when y is set to 15?

15 = 5^x, we can easily solve this equation by using logs on either side which will give us: log15 = x log 5. Then by solving this for x, we get the result of 1.68 to two decimal places.

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Answered by Andrea B. Maths tutor
3131 Views

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