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(7 + √3)(7 - √3) = 7² + 7√3 - 7√3 - (√3)² = 49 - 3 = 46Alternatively you can go straight to identifying that this is the difference between two squares, using the fact that (a + b)(a...

Draw a diagram of the graph y=sin x between the stated interval. Identify the two extrema. Required interval is in between the two points.

A supremum is a number such that it is larger than all numbers in the given sequence. Although this is true for a maximum, the maximum has an additional property that it must be a member of the sequence s...

Here we know the lower option will be 4, and that as our numerator is smaller than our denominator, or higher whole number to round to will be 5. Between 4 and 5 the halfway point is 4/8 as 4 is half of e...

y=3x+7 2y-6x=8
2y-6x=82y=8+6xy= 4+3xy=3x+4When both equations equal y they both have a 3 in front of their x meaning that they both have a gradient of 3.