Top answers

Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

y 2 = (3x + 3) 2 = 9x 2 + 18x + 9 x 2 + 9x 2 + 18x + 9 = 9 10x 2 + 18x = 0 (root a: x = 0) 5x + 9 = 0 (root b: x = -1.8) For x = 0, y = 3(0) + 3 (root a: y = 3) For x = -1.8, y = 3(-1.8) + 3 (root b: y = -2....
AR
Answered by Alistair R. • Maths tutor
4604 Views

How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1% i...
TT
Answered by Tharani T. • Maths tutor
15017 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a 2 + b 2 = c 2 (Pythagoras' Theorem) a 2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets) a 2 + 9 + 6√(3) + 6√(3) + 12 = 36 + 6√(3) + 6√(3) + 3 (Multiplying and simplifying surds) a 2 + ...
RA
Answered by Rebecca A. • Maths tutor
4371 Views

I want to buy 1 litre of milk. My options are to either buy 250ml bottles for £1 each or 500ml bottles for £1.50 each. Which is the cheapest way for me to buy 1 litre of milk?

If you were to buy 250ml bottles you would need four meaning - 250 x 4 = £1 x 4 = £4. If you were to buy 500ml bottles you would need two meaning - 500 x 2 = £1.50 x 2 = £3. Therefore it is cheaper to buy tw...
EM
Answered by Emily M. • Maths tutor
4024 Views

Fully expand (2x+4)(4x-3).

Answer: 8x 2 +10x-12 Explanation: It is really important that every 'term' is multiplied by every other 'term'. A 'term' doens't just refer to the number but also to the sign in front of it i.e. the terms in...
MH
Answered by Matilda H. • Maths tutor
4256 Views