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Maths
GCSE

Factorise the following quadratic, find the stationary point and y intersection: x^2-6x+9

x^2-6x+9(x-3)(x-3)
repeated roots, therefore turning point at x =3, y=0
when x=0, y=9 therefore y intercept = (0,9)

Answered by Andrew M. Maths tutor
1998 Views

How do I find two prime numbers whose sum is 30?

We are looking for a sum of numbers- this means that both numbers have to be less than 30. Start by writing down all prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Do you see any two numb...

Answered by Silke N. Maths tutor
20426 Views

Solve x/(x-7) + 6/(x+4) = 1

Observe neither x=7 or x=(-4) are solutionsMultiply through by (x-7), x + 6(x-7)/(x+4) = (x-7)Subtract x, 6(x-7)/(x+4) = -7Multiply through by (x+4), 6(x-7) = -7(x+4)Therefore, 6x - 42 = -7x - 28Rearrang...

Answered by Lewis D. Maths tutor
2045 Views

Convert 60km/h to m/s

60x1000=60,000 (convert km into m)60,000/(60x60)= 16.67m/s (here we divide the 60,000m by the number of seconds within an hour, which is 3600)Final answer is therefore 16.67m/s

Answered by Rebecca L. Maths tutor
5977 Views

Expand the brackets: (2x + 4)(x + 3)

Use the 'crab claw' technique for which order to expand your brackets in (demonstrate by drawing with whiteboard). So start with 2x multiplied by x = 2x2. Then 2x multiplied by 3 = 6x. Then 4 m...

Answered by Molly M. Maths tutor
2756 Views

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