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Maths
GCSE

Work out the value of 2^14 ÷ (2^9)^2

214 ÷ (29)2 = 214 ÷ 218 = 2-4 = 1/(24) = 1/16
(9x2=18) (14-18=-4) ...

Answered by Hannah G. Maths tutor
7283 Views

Sketch the graph of y = 5 - 7x

The key points with graph sketching are to think about the shape of the curve, any turning points, and the intercepts with the y- and x- axes. This curve is linear in x, and is therefore a straight line (...

Answered by Jonah A. Maths tutor
2831 Views

How do you calculate arc length and sector area and why is it calculated like this? You are given sector angle 40 degrees and radius 7cm and asked to give answers to 3sf.

A sector represents a fraction of a circle. The fraction depends on the angle of the sector, X, and the total angle in a circle which is 360, such that the fraction is x/360. In this case the fraction is ...

Answered by Peter K. Maths tutor
4336 Views

Factorise x^2 - 14x + 49

(x - 7)^2

Answered by Shikhar K. Maths tutor
2773 Views

A curve has the equation y = 4x^2 + 5x + 3 and a line has the equation y = x + 2. Show that the line and the curve have one point of intersection.

Set the equations equal to each other: 4x^2 + 5x + 3 = x + 2Collect terms and set equal to 0: 4x^2 + 4x + 1 = 0Factorise the equation: (2x + 1)(2x + 1) = 0Can now find the value of x: 2x + 1 = 0, therefor...

Answered by Francesca G. Maths tutor
5666 Views

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