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Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we work...
AG
Answered by Aaron G. • Maths tutor
23412 Views

How do you differentiate the curve y = 4x^2 + 7x + 1? And how do you find the gradient of this curve?

To begin with, this question requires you to differentiate the curve y = 4x 2 + 7x +1 in order to find the gradient. To differentiate this function y in respect to x, we need to reduce the powers by one, for...
KS
Answered by Katie S. • Maths tutor
4876 Views

If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a for...
NK
Answered by Najmeh K. • Maths tutor
4165 Views

A square has sides of length x cm. The length of a rectangle is equal to the perimeter of this square. The perimeter of this rectangle is 14x cm. Find an expression for the width of this rectangle. Give your answer in terms of x.

l(s) = xl(r) = 4xp(r) = 14xP(r) = 8x + 2w = 14xw = 3x
MZ
4044 Views

Find 16% of £435

16% of £435 is equal to 10% of £435 + 6% of £435. 10% of £435 = 435 = £43.56% of £435 is 6 x 1% of £4351% of £435 = 435/100 = £4.35£4.35 x 6 = £26.1 16% of £435 = £43.5 + £4.35 = £47.85
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Answered by Minnie A. • Maths tutor
1954 Views