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The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work o...

VA
Answered by Varun A. Maths tutor
7572 Views

How do I differentiate a function of x and y with respect to x?

To differentiate a function of x and y, you must differentiate x as you would ordinarily, and then differentiate y as you would normally, but multiply the differentiated term by dy/dx. For terms with x an...

HM
Answered by Hannah M. Maths tutor
24968 Views

Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3

This is an example of quadratic simultaneous equations. We need to work out the value(s) of x OR y by rearranging one of the equations and then substituting it into the other equation. Once obtaining the ...

IT
Answered by Imama Taiba N. Maths tutor
5254 Views

Solve x^2 + 8x + 12 = 0

x = -6 or -2

AM
Answered by Alex M. Maths tutor
3139 Views

Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine with no VAT added?

In this question we will label the washing machine as x. In order to answer this question we need to understand that the final price of the washing machine (£600) is the price of the machine with...

OM
Answered by Ophelia M. Maths tutor
24370 Views

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