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Using the diagram and your knowledge of vectors, show that BCD is a straight line

BC = BA - CA = (3a - b) - (a + 4b) = 2a - 5b ...

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Given a spinner divided in 3 sections numbered 1, 2 and 3, and that the arc of section 2 is double that of section one (~57.6 cm), calculate pi to 2 decimal places. The radius of the spinner is 30cm and the angle sub-intended by section 3 is 30 degrees.

Use angle of section 3 to get ratios of arcs:Realise either one of the arcs 1 or 2 will do.Calculate 360-30 / 3 to get 110 degrees for section 1.Calculate ratio of arcs for section 1: 11/...

Answered by Filipe C. • Maths tutor

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Find the equation of the line L passing through (0, 3) and (5, 7). What would the gradient of a line perpendicular to this line be? What about a line parallel to it?

Since L is a straight line between two points, it has the form y=mx+c, where m is the gradient. To find m we use that it is the difference in y values of the points divided by the difference in x values, ...

Answered by Victoria I. • Maths tutor

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Solve the simultaneous equations: 6x - 5y = 17, 3x + 8y = 10

First, you will need to make one of the variables x or y have the same number in front. To do this just multiply the equation by a constant which will give you lets say the x value in this equation with t...

Answered by Jagjit S. • Maths tutor

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Prove that the square of an odd number is always 1 more than a multiple of 4.

First we consider how to represent an odd number. We know that any even number can be represented as 2k for some integer k since, by definition, all even numbers are multiples of 2. We also know that all ...

Answered by Josh L. • Maths tutor

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