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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...

MP
Answered by Malini P. Maths tutor
3112 Views

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) x2 + y2- 6x - 4y + 4 = 0 x2- 6x + y2 - 4y + 4 = 0 group the terms together x2- 6x = (x - 3)2 - 9 factorise the x ter...

RL
Answered by Ralf L. Maths tutor
7844 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 ...

NB
Answered by Niamh B. Maths tutor
4208 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~ 29,12hour...

AV
Answered by Adam V. Maths tutor
2646 Views

Draw a graph of x = (y + 4)/4

step 1: re-arrange the function in a nicer wayx = (y + 4)/44x = y + 4y = 4x - 4step 2: draw the graphthis is a stright line going through y axis at -4 and x axis at 1, with gradient of 4

RK
Answered by Rimantas K. Maths tutor
2810 Views

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