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You are given a square which you are told has a total area of 100 squared centimetres. You are also told that one side of the square has dimension 4(3x + 2), and the other has dimension 8x - y. What are the values of x and y?

The first thing to know is that a square has equal sides, and that the area of a square is length x length. Therefore in this case Length x length = 100 or Length 2 = 100 ans so Length = square root of 100 =...
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Answered by Hannah A. • Maths tutor
5352 Views

how do you solve these simultaneous equations?

6x + y = 8 (1) 4x - y = 12 (2) Method 1 elimination: -Adding/subtracting the two equations together to eliminate one of the unknowns (1) + (2) 6x + y = 8 + 4x - y = 12 10x = 20 (/10) x= 2 sub 'x=2' into (2) ...
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Answered by Shriya G. • Maths tutor
5789 Views

a ladder stands against a wall, then it slides down. Describe the motion of the centre of the ladder while sliding!

the lenght of ladder is contant. when it is in the middle of sliding, it make a right angle triangle with the floor and wall, hence (the lenght of the ladder£^2 equal to (the lenght of floor to one end of th...
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Answered by Nirmala W. • Maths tutor
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The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)

The expectation of x, E(X), is the sum of the product of the value of the i th outcome (x i ) and the probability of the i th outcome (p i ). So: E(X)=1+(4 2)+(9 3)=36
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Answered by Tanush M. • Maths tutor
3873 Views

The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence.

To tackle sequence questions like this you first have to find the difference between each term of the sequence and this number will go in front of the 'n'. Then to find the full expression, you have to find ...
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Answered by Tanush M. • Maths tutor
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