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In order to solve this we need to make two of the terms the same and use an elimination method so we are left with only one unknown rather than two. We will multiply x + 2y = -6 by 2 in order to get 2x + ...

(a) y-intercept = (0,7); other point = (7,2) ; gradient, m = change in y / change in x ; m = (0 - 7) / (7 - 2) => m = -7/5 ; y = mx + c (we know from the question that c=7) ; y = (-7/5)x + 7(b) gradien...

2n is even, so (2n+1) is odd ; Multiplying even by odd gives: 2n(2n + 1) ; which is a multiple of 2, thus even * odd = even.

SUVAT equations give s = vt ; v = 32mph ; t = 1h 15mins = 1.25h ; s = 32 * 1.25 = 40 miles

Completing the square is a method that can be used to solve the quadratic equation x^2+6x+14 in the form of (x+a)^2+b. The way we find a and b is as follows:For co...