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How do you factorise x^2 +5x+6?

So firstly, you need to find two numbers that multiply to make 6 and add to make 5 Make a list of numbers that multiply to make 6 i.e. 1 6 and 3 2 So you can either have (x 6)(x 1) OR (x 3)(x 2) Now you see ...
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Answered by Jayan P. Maths tutor
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How to solve Simultaneous Linear Equations, e.g. (4x + 5y = 17) and (3x + 2y = 4)

Explain how linear simultaneous equations with two variables ("unknowns") differ from single linear equations with two variables. Explain that a single linear equations have multiple, and indeed in...
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Answered by Henry B. Maths tutor
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A circular table has a diameter 140 cm. Calculate the area of the table in cm^2, leaving your answer as a multiple of pi.

The equation for a circle is pi x radius x radius. So,first we need to find the radius which is half the diameter, 140 divided by 2 equals 70 cm. As the question asks for the answer as a multiple of pi there...
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Answered by Fraser S. Maths tutor
8500 Views

Find the interserction points of: The circle, x^2+(y-1)^2=18 and the line, y=x+1.

To solve this question, we have to use substitution. We substitute the line equation,y=x+1, into the circle equation so that we get, x^2 + (x+1-1)^2=18. This reduces to 2x^2 = 18, then dividing both sides by...
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Answered by Alex R. Maths tutor
3182 Views

Sean drives from Manchester to Gretna Green. He drives at an average speed of 50 mph for the first three hours. He then breaks and drives the final 150 miles at 30 mph. Sean thinks his average speed is 40 mph ,is he correct?

This is a relatively complicated mechanics question requiring the student to put aside their initial assumption and work with the actual meaning of average speed. In order to do this the student must find ou...
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Answered by Adam B. Maths tutor
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