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Maths
GCSE

Solve the simultaneous equations: 12x - 4y = 12 (1) and 3x + 2y = 12 (2)

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations)
12x + 8y = 48 (3)
(3) - (1)
12y = 36
Divide through by 12
y = 3
Sub y = 3 into eq...

Answered by Rees J. Maths tutor
3713 Views

Solve the quadratic equation x^2 + x - 20 = 0

Factorising the left hand side we get x2 + x - 6 = (x + 5)(x - 4). Therefore x2 + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...

Answered by Lizlie J. Maths tutor
2874 Views

how would you expand quadratic factors

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same p...

Answered by Ricken P. Maths tutor
3781 Views

y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.

y=k/d2
substituting:4=k/102
4=k/100
400=k
d=nx2
substituting:24=n x 22

24=4n
n=6
Eq1:y=400/d2
Eq2:...

Answered by Abi I. Maths tutor
11997 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

Consider a right angled triangle, it has perimeter of 72cm. Let's label the three sides a, b and c.Therefore, a + b + c = 72cm.Also, we know that a:b:c = 3:4:5Therefore we can say that a = 3x, b = 4x, c =...

Answered by Dilan A. Maths tutor
2240 Views

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