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Maths
GCSE

Show that sqrt(20) = 2sqrt(5)

We can express sqrt(20) as sqrt (4 x 5). This is equivalent to sqrt(4) x sqrt(5). We know that sqrt(4) = 2. This sqrt(20) can be written as 2sqrt(5).

Answered by Monika P. Maths tutor
16497 Views

In the generic formula 'y=mx + c,' how do you use the 'm' and 'c' to plot a linear graph?

The 'm' value should be used to provide a gradient to the graph (i.e. for every 1 unit the graph moves along the x axis, its y movement will be altered by multiplying 1 by 'm'). Therefore, the higher t...

Answered by Thomas G. Maths tutor
6020 Views

Please factorise fully: 2a^2 + 6a

We are factorising 2a+6a. When we factorise an expression, we look for common terms that we can place outside of a bracket. Another way of thinking about this is something that both 2a2 ...

Answered by Monika P. Maths tutor
11031 Views

Expand and simplify (x+6)(x-6)

The first step is to expand the expression. This can be done using the FOIL method. This means that we multiply the First, Outside, Inside and Last terms in the bracket.First: x . x = x2Outside...

Answered by Monika P. Maths tutor
23862 Views

Find the values of x for the equation: x^2 - 8x = 105

When presented with an equation that involves x^2, it is likely to be a quadratic equation. This leads us to rearrange to the equation above into the form of ax^2 + b + c = 0. Therefore the equation ca...

Answered by Dhulaxy M. Maths tutor
5099 Views

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