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To answer this question, create the least common denominator possible. In this instance, the LCD is 40. (I know this because multiples of 5 only end in 0 and 5, and 40 is the lowest multiple of 8 that mee...

let x1 = 0, y1 = 0 in (0,0) and let x2 = 8 and y2 = 8 in (8,8). To find the gradient, we would do (y2 - y1)/(x2-x1) = 1. To find the length, we would do the square root of the following: (y2-y1)^2 + (y2-y...

The first thing I would do is sketch a diagram of a triangle and a pentagon. I find that tutees learn best when they can see what's going on so this makes the explanation easier to understand. After havin...

y = 1/2x^3 - 9x^3/2 + 8/x + 30y = 1/2x^3 - 9x^3/2 + 8x-1 + 30dy/dx = 3/2x^2 - 27/2x^1/2 - 8x^-2 + 0dy/dx = 3/2x^2 - 27/2x^1/2 - 8/x^2substitute x=4 into equation for yy = 1/2(4)^3 - 9(4)^3 + 8/4 +30y = 32...

First, we need to find two numbers which add together to make 10 such as 2 and 8, 6 and 4 or 7 and 3, listing these combinations. Next, we need to do the same but finding combinations of numbers which mul...