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Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 ...

Answered by Zoe L. • Maths tutor

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A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.

THIS IS FOR MATHS STUDIES, NOT MATHS SLThe question is from the 2014 specimen paper
First, find the common ratio:U1 = 7U3 = 28
(Identify Formula): Un = U1 x r^n-1 U3 ...

Answered by Lottie W. • Maths tutor

4703 Views

FIRSTLY: John has a slice of pizza in the exact shape of an isosceles triangle. 2 sides measure Y + 5 and 1 side measures Y – 2. Write an expression for the total perimeter. SECONDLY: Multiply out the following brackets: (3Y + 8)(3Y + 2)

First part: An isosceles triangle has 2 sides of the same length and 1 side of a different length. 2 of these sides: 2 x (Y + 5) = 2Y + 10. 1 side: Y – 2. The perimeter is the tota...

Answered by Rosie W. • Maths tutor

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A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.

There's a lot of information here so we should start out by drawing up a diagram. From this we can see that we have a right-angled triangle, and we know two of the angles and want to work out a third. The...

Answered by Rohan S. • Maths tutor

4005 Views

Sketch the curve y = (2x-1)/(x+1) stating the equations of any asymptotes and coordinates of the intersection with the axis. As an extension, what standard transformations from C1 could you use on y=1/x to get this curve?

A good way to start with any of these questions is to guess what type of curve this is, and if that is too difficult then the next best thing is to find some points. In this case it is obvious that it is ...

Answered by Alex D. • Maths tutor

3689 Views