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a² + b² = c²

a : 9       b : unknown      c: 15

b² =c² - a²

so b² = 225 - 81

=144 so b=12

42 x 5 = 210.

45+29+63+42 = 179.

210 - 179 = 31

X = 31

3x^2+18x-1 Bracket out 3x^2+18x  Factorise by bringing out the common factor of 3 = 3(x^2+6x) Divide the x coefficient by 2  =  3(x^2+3x) And then remove the square on the x^2 variable and add a square to...

This question is testing your understanding of speed, distance and time and sounds much more complicated than it actually is. For a question like this one, it is best to draw a picture to help you get a b...

Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20.   2/5 X 4/4 = 8/20

This makes the question become (15/20 + 8/20)² 

15/20 + 8/20 = 23/20

Therefore (23...