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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 ...
RL
Answered by Ralf L. • Maths tutor
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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...
NB
Answered by Niamh B. • Maths tutor
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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. ...
AV
Answered by Adam V. • Maths tutor
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Discuss the possible impact of supermarket monopsony power on both food suppliers and consumers?

One possible impact of supermarket monopsony power on suppliers is it will decrease their profits, possibly driving them out of the industry. A monopsony can be defined as when there is only one buyer in the...
GL
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At what stage of Meiosis are the centrioles of paired chromosomes at opposite poles of the cell ?

During Meiosis I: Metaphase I
Answered by • Biology tutor
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