Search over 10,000 free study notes

We will start by representing an odd number using algebra. Let n be a integer, i.e. 1,2,3,4,etc. then we can define an odd number as (2n)-1. This is because if a number is of the form 2n it must be even, ...

To solve, first create a common factor for b by multiplying the 1st equation by 2 to get: 12a+2b=22.Now, add the two equations together to get: (12a+5a) + (2b-2b) = (22+19)which is 17a=41 , when simplifie...

912 = 4(x+2)(x+9)228 = (x+2)(x+9)228 = x² + 11x + 180 = x² + 11x -210using the quadratic formula we obtain x = -10 or x = 21As dimensions must be positive; x must equal 21Hence; the ...

Total perimeter - 72cm. Perimeter - (3+4+5)x -> 72=12x therefore x=6. The area of the triangle is 0.5(3x4x) (because 5x is the longest side) therefore the answer is 0.5(1824) = 216cm^2

Divide through by 9 giving:(x+3)² = 4/9 Square root both sides remembering a square root is plus or minus the answer x+3 = +/-sqrt(4/9) sqrt(4/9)=2/3for the first solution x+3 = 2/3 or x = -7/3...