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y = 2x + 5, Calculate x when y = 4

y = 2x + 5 y = 4, therefore 2x + 5 = 4 2x = 1 x = 1/2
JT
Answered by Jacob T. Maths tutor
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A man stands 9 metres from the base of a tree. He knows the distance from where he is standing and the top of the tree is 15 metres. How tall is the tree?

a 2 + b 2 = c 2 a : 9 b : unknown c: 15 b 2 =c 2 - a 2 so b 2 = 225 - 81 =144 so b=12
JM
Answered by Jack M. Maths tutor
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The mean of 5 numbers is 42. The 5 numbers are 45,29,63,42 and X. Find the value of X.

42 x 5 = 210. 45+29+63+42 = 179. 210 - 179 = 31 X = 31
JF
Answered by Joseph F. Maths tutor
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Express 3x^2+18x-1 in the form a(x+b)^2 +c

3x^2+18x-1 Bracket out 3x^2+18x Factorise by bringing out the common factor of 3 = 3(x^2+6x) Divide the x coefficient by 2 = 3(x^2+3x) And then remove the square on the x^2 variable and add a square to the o...
CO
Answered by Chukwudi O. Maths tutor
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The distance from the Earth to the Sun is 93 million miles. Assume: it takes 365 days for the Earth to travel once around the Sun and the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour.

This question is testing your understanding of speed, distance and time and sounds much more complicated than it actually is. For a question like this one, it is best to draw a picture to help you get a bett...
JH
Answered by Jack H. Maths tutor
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