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How to do Indices?

There are different rules when it comes to indices. First of all we will look at the example of multiplying two expressions . For example, y 2 x y 4 . Here we need to do the addition rule, so add 2 and 4 to ...
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Answered by Taha H. • Maths tutor
3976 Views

A linear sequence starts a + 2b, a + 6b, a + 10b … The 2nd term has value 8 The 5th term has value 44 Work out the values of a and b.

5th Term is a+18b=442nd term is a+ 6b=8subtract the two equations from eachother to get 12b=36 rearrange so that b=36/12=3 substitute b=3 into any of the above equations to get a; a=8-(6x3) = -10 so a=-10 an...
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Answered by Malini P. • Maths tutor
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The equation of a circle is x^2+y^2-6x-4y+4=0. i) Find the radius and centre of the circle. ii) Find the coordinates of the points of intersection with the line y=x+2

i) x 2 + y 2 - 6x - 4y + 4 = 0 x 2 - 6x + y 2 - 4y + 4 = 0 group the terms together x 2 - 6x = (x - 3) 2 - 9 factorise the x terms y 2 - 4y = (y - 2) 2 - 4 factorise the y terms x 2 - 6x + y 2 - 4y + 4 = (x ...
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Answered by Ralf L. • Maths tutor
8686 Views

How do you do algebraic long division?

To find the quotient and remainder of an algebraic division we use a technique similar to long division at GCSE. I think the best and easiest way to learn this method is to go through an example. See the whi...
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Answered by Niamh B. • Maths tutor
5116 Views

A cycle race across Hungary is 392,5 miles long. Bob is a contestant in this race, he can go as fast as 13.48 miles per hour and can pedal 6 hours a day. Work out in how many days will Bob complete this race.

First we need to list what we know from the text. Bob's speed : 13,48 mph and 6hour a day. The distance is 392,5 miles. How do we get the number of hours? Distance/Speed = 392,5/13,48 = 29,1172~ 29,12hours. ...
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Answered by Adam V. • Maths tutor
3176 Views