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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

3020 Views

Simplify the following algebraic fraction; (3x^2 - x - 2) / ((1/2)x + (1/3)).

First we need to factorise the numerator into two expressions. We can see one expression must start (3x + ?) and the other therefore must hold (x + ?), we know this because the two bracke...

Answered by Bobbi L. • Maths tutor

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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

4822 Views

Factorise x^2 - 14x + 49

(x - 7)^2

Answered by Shikhar K. • Maths tutor

2949 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

6038 Views