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Firstly write out the question. x^2+5x+6. After this look at the constant without any x's. In this case that number is 6. Now look at the number 6 and work out the combination of factors for 6. Do this su...

To find the density, we need to divide mass by volume, and we already know the mass, so must find the volume.  V = 4/3.pi.r^2, and plugging in r=6 gives V = 48.pi, about 150.8 cm^3. The mass is 1710, whic...

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd nu...

Use of a^2+b^2=c^2 must be included in the answer.

Furthermore the numbers must be put in the above equation to give: 5^2+12^2=c^2

This must then be solved to give: 169^0.5=c

The answ...