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Factorise = take out common term (y in this case)

so divide each by y

i.e. 3y^2 / y = 3y

2y / y = 2

thus factorised:

= y(3y+2)

5L water = 5000mL

because 1L = 1000mL so multiply by 5

if 750mL is poured into 6 bottles, first need to see how much total has been poured.

therefore, do 750mL * 6 = 4500mL

so ...

Formula for nth term in a geometric progression = ar^n-1

workings:  

a=12

r=1.5  because 18/12 = 1.5

Thus, using ar^n-1  -->   12 * 1.5^8 = 307.54... or 308 (to 3sf)

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The first thing to notice with this question is that the volume of the tank is given in cm³ yet the rate at which the water leaks is in litres, so a conversion of units will be neccessary. We k...

There are 2 main methods for finding a normal vector.

1. If you know two vectors that lie in the plane e.g. (a,b,c) and (d,e,f), we can find a normal vector by calculating the vector/cross p...