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How do you simplify expressions involving different powers?

Let's answer the question by solving an example: Take (8x 2 * 5x 4 * 2y 3 )/(20x 3 ). Firstly, let's take a look at the first bracket and rearrange it so we have both numbers and variables grouped together: ...
PW
Answered by Patryk W. Maths tutor
3976 Views

How do you find the length of the longest side of a right-angled triangle?

First of all, I would ask the student what they think the question means and whether they have encountered a question like this before, so that I know where to start from. If the student is more of a visual ...
ET
Answered by Eddie T. Maths tutor
4816 Views

Solve the next innequation: 12x-4>4x+12

First of all, we separate what is multiplying the X from what is not, 12x-4x>12+4 (don't forget the change of sign while passing from one side to another). Then we operatem 8x>16. Finally, x>16/2 th...
LA
Answered by Lucia A. Maths tutor
4274 Views

Solve the simultaneous equations. 3x + 5y = 1 , 2x - 3y = 7

3x + 5y = 1 (eq 1) 2x - 3y = 7 (eq 2) Step 1 - 2* (eq 1) 6x + 10y = 2 (eq 3) Step 2 - 3* (eq 2) 6x - 9y = 21 (eq 4) Step 3 - eq 4 - eq 3 to cancel the x -19y = 19 Therefore, y = -1 (eq 5) Step 4 - sub (eq 5)...
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Answered by Ann L. Maths tutor
15133 Views

A circular table top has diameter 140 cm. The volume of the table top is 17,150π cmᶟ. Calculate the thickness of the table top

The table is a cylinder so we'll need to use the equation for this shape: A = πr 2 h We're looking for the thickness of the table (which is the height) so let's rearrange this equation to make h the subject ...
LM
Answered by Lewis M. Maths tutor
9327 Views