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Maths
GCSE

Factorise x^2+6x+8

Firstly, as it's highest term is x2, it must only have two factor brackets, so the answer has to look like (x + a) * (x + b).Then, to make 6x, we need the a and b term to be either 5 and 1, 4 a...

Answered by Tom M. Maths tutor
11506 Views

Show that the two lines are parallel: L1: 4y = 24x +12, L2: 2y + 13 = 12x

Two lines are parallel when they have the same gradient.
When the equation is written in the form: y = mx + c, m is the gradient.
We need to arrange our equations in the form y = mx + c as this...

Answered by Dominique T. Maths tutor
16982 Views

What is the product of prime factors of 270?

Firstly we need to make sure we understand the question and do this by defining the key elements:
Prime number: A number that can only be divided by itself and 1 to give a whole numb...

Answered by Dominique T. Maths tutor
10649 Views

A right-angled triangle has a base of 5 cm, a height of 12 cm. Find the length of the hypotenuse.

Draw the triangle.Let the base = a, height = b and hypotenuse = ca = 5, b = 12, c = ?Using Pythagoras theorem, a2 + b2 = c2so, 52 + 122 = c2

Answered by Abhiyan B. Maths tutor
11562 Views

ABCD is a regular paralleogram, A=(2,1) B=(7,2) and C=(4,6), work out the gradient of the line CD and then work out the area of ABCD.

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