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How can you calculate the distance between 2 points in a grid if they're not on the same horizontal or vertical line?

Recall Pythagoras' theorem. a^2 + b^2 = c^2. Think about this as a triangle, with a and b being the lengths of the 2 perpendicular sides, and c being the length of the hypotenuse. [Drawing on a whiteboard wo...
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Answered by Tom C. • Maths tutor
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When integrating, why do we add a constant to the resulting equation?

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function: f(x) = 2x^2 + 1 And we differentiate: f'(x) = 4x ...
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Answered by Tom C. • Maths tutor
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What is 0.032 multiplied by 1000

When we have numbers that are smaller than 1 we use the coma to help us multiplie by 1000. As there are 3 zeros in 1000, we will move the coma on 0.032 3 times to the right to make it bigger. So once would b...
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Answered by Bryony S. • Maths tutor
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How do you solve a simultaneous equation?

Take 2 equations say equation 1: 2y+4x=26 and equation 2: y+3x= 18. What we need to do is make either the two x values or the 2 y values be equal so that we can subtract one of the equations from the other. ...
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Answered by Bryony S. • Maths tutor
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simplfy x/3 + x/4

When simplifying algebraic fractions, first times all the components by the denominator (number on the bottom) of the first component. In this case, that is 3. x/3 times 3 = x and x/4 time 3 = 3x/4. This is ...
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Answered by Tabitha M. • Maths tutor
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