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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: x 2 = a 2 + b 2 (I will show this with a diagram)I will then walk the student thr...
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Answered by Florence B. • Maths tutor
2971 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), which ...
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Answered by Gagandeep S. • Maths tutor
5080 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 y,...
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Answered by Andrew B. • Maths tutor
2981 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 using t...
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Answered by Lamees A. • Maths tutor
5115 Views

Help! How do I solve quadratic equations?

Quadratic equations contain the term x 2 and they can normally be written in the format of:ax 2 + bx + c = 0. You can solve these equations by using a technique called factorisation. Factorised quadratic equ...
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Answered by Michael H. • Maths tutor
3072 Views