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Maths
GCSE

Factorise x^2 −x−12

To factorise you need to look at common factors. And it needs to be put into the expression (x+/- y)(x+/- v)For X2-X-12, you need two numbers that times to make -12 and add to make -1-1X12, -12...

Answered by Lauryn P. Maths tutor
1905 Views

How do I use Pythagoras to work out the length of a triangle?

Pythagoras is a theory that works for right-angled triangles and allows us to work out the length of its sides.The theory is: x2 = a2 + b2 (I will show this with a diagra...

Answered by Florence B. Maths tutor
1563 Views

A ladder of length 5 m is place with the foot 2.2 m from the base of a vertical wall. How high up the wall does the ladder reach?

Drawing a diagram will help to visualise the problem and realise it is based on Pythagoras's theorem: a^2 + b^2 = c^2. We have been given 'c' the hypotenuse (5 m) and one of the shorter sides (2.2 m), whi...

Answered by Gagandeep S. Maths tutor
2495 Views

The equation of the regression line of y (retail price, £) on x (number of pages) for a set of books is y = 0.02x + 1.35. How can I use this equation?

A regression line comes from the line of best fit, y=mx+c. Given your data, you can find the line. C is the point where it crosses the y axis, and m is the slope. Here, we know that the price of a book is...

Answered by Andrew B. Maths tutor
1676 Views

complete the square by rewriting x^2+6x-15 in the form (x+p)^2-q

To complete the square the first thing you must do is divide the coefficient (number in front) x by 2 to give (x+3)^2We must then expand out (x+3)^2 which can be done by writing it as (x+3)(x+3) then usin...

Answered by Lamees A. Maths tutor
2383 Views

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