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A right angled triangle has two short sides of lengths 5cm and 12cm respectively. What is the length of the third side?

13cm. Using Pythagoras theorem a^2 +b^2 =c^2 we substitute our two known lengths into the equation to get 5^2 + 12^2=c^2.
So now we have c^2= 25+144. So c^2 =169. So c=√169 = 13. Don't forget the un...

Answered by Niall C. • Maths tutor

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The two points (4,9) and (2,3) are on line A. A second line, line B is perpendicular to line A and goes through the point (2,3). What is the equation of line B?

Step 1, find the gradient of line A: gradient = change in y/change in x = (y1 - y2) / (x1 - x2) = 9-3/4-2 = 6/2 = 3Step 2, find the gradient of line B: as the two lines are perpendicular, the gradient of ...

Answered by Georgia W. • Maths tutor

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3x + 2 = 11. what is x?

3x + 2 = 11 . 3x = 9 . x=3 .

Answered by Emma V. • Maths tutor

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y = (x/3) - 14. Rearrange this equation to make x the subject.

The aim of this question is to end up with 'x' standing by itself on one side of the equation. The key principle to achieve this is to understand that whatever you do to one side of the equation, you have...

Answered by Maximilian G. • Maths tutor

8521 Views

Dominik hires a satellite phone. His total hire charge is £860. For how many weeks did he hire the phone? (Total hire charge = No. of week X 90 +50)

Rearrange the formula so that it is equal to what the question is asking for (no. of weeks)_{What you have to do to one side you must do to the other!}Total hire ch...

Answered by Grace K. • Maths tutor

4064 Views