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Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

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1st step: Firstly we know 3 things: 1. There are 20 sweets in total 2. The sweets are either blue or yellow 3. The probability of picking two blue sweets in 6/30 We let the total number o...

The first part of this question requires be student to realise that touching the x axis equates to f(x) equalling 0, so we must equate the expression to 0.

Next we need to factorise the expression....

5(2c - 3) = 19

5x2c - 5x3 = 19

10c - 15 = 19

10c = 19 + 15

10c = 34

c = 34/10 = 3.4

Pythagoras' Theorem: a² + b² = c²     where a, b, c relate to the sides of a right-angled triangle, and c is the hypoteneuse.

Use the equation to find the length on...