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Maths
GCSE

Express the number 252 in terms of its prime factors

Start with the number 252 and split into factors, for example it is even therefore is divisible by 2. Work out the other number and then continue finding factors of each number until you are left with pri...

KR
Answered by Kathryn R. • Maths tutor
11559 Views

Solve the simultaneous equations, 8x + 4y = 4 and 6x - 18y = 16

8x + 4y = 4,4y = 18 - 8x,2y = 2 - 4x,18y = 18 - 36x,6x - 18y = 16,18y = 6x - 16,6x - 16 = 18 - 36x,42x = 34,x = 34/42 = 17/21,18y = 90 - 36(17/21),18y = 426/7,y = 71/21

DG
Answered by Dione G. • Maths tutor
3353 Views

An area of a garden needs to be tiled. It consists of a square area of 10m by 10m, with an outdoor pool in the middle of radius 3m. The tiles to be used are 50cm by 50cm, and cost 50p per tile. Find out how much it will cost to tile the area.

Calculate total area of space: A = 1010 = 100m2Calculate area of pool: A = Pir2 = 3.14232 = 28.27m2Difference in area = 100m2

MC
Answered by Matthew C. • Maths tutor
2977 Views

solve the equation x^2 -5x +1 = 25

We can see from the term x^2 that this equation is quadratic. To solve it, we need to get it into the form ax^2 +bx +c = 0. Subtract 25 from both sides to reach this form:So we have the equation x^2 -5x -...

FS
Answered by Frederick S. • Maths tutor
2862 Views

Let f(x) = x^2 - 1. A vertical translation of 3 and a horizontal translation of -2 is applied. Write the new function g(x) in the form g(x) = ax^2 + bx + c

Let f(x) = x2- 1To apply a vertical translation, simply add the value to the overall equation. In this case it is p...

JH
Answered by Jack H. • Maths tutor
2614 Views

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