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OPG is a triangle. N is point on OG such that ON : NG = 2 : 3. OP = a, PG = b. Express ON in terms of A and B.

We would first like to find an expression for OG. We know that OG can be expressed as OG = OP + PG. Therefore OG = a + b Knowing the ratio ON:NG is 2 : 3, we can conclude that ON is (2/5)th of OGTherefore, O...
RM
Answered by Rowan M. • Maths tutor
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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 prime ...
KR
Answered by Kathryn R. • Maths tutor
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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
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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 = 10 10 = 100m 2 Calculate area of pool: A = Pi r 2 = 3.142 3 2 = 28.27m 2 Difference in area = 100m 2 - 28.27m 2 = 71.73m 2 Calculate area of one tile: A = 0.5 0.5 = 0.25m 2...
MC
Answered by Matthew C. • Maths tutor
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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 - 24...
FS
Answered by Frederick S. • Maths tutor
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