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(i) Find the gradient of the straight line passing through the points: (0,3) and (9,21). (ii) Write down the equation of the line in form y = mx + c

(i) To find the gradient of a straight light, we take any two (different) points on the straight line and compute the change in Y divided by the change in X. So here this is; (21-3)/(9-0) = 18/9 = 2. So the ...
CG
Answered by Charlie G. • Maths tutor
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Factorise completely x − 4 x^3

= x(1-4x^2)From difference of two squares method,= x(1-2x)(1+2x)
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Answered by Christopher T. • Maths tutor
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How do you work out the direction and strength of the force on a current carrying wire in a magnetic field?

The magnitude of the force is given by F = BILsin(θ) . I is the current flowing through the wire, L is the length of the wire in the magnetic field and B is the magnetic field strength. The angle θ, is the a...
AP
Answered by Adam P. • Physics tutor
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Solve the simultaneous equations; 2x + y = 18; x + 3y = 19.

Start by selecting a variable to eliminate from the equations. --> Select x in this case.Take the second equation and multiply by 2. --> 2x + 6y = 38Subtract the first equation from this answer. -->...
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Answered by Mark A. • Maths tutor
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To what extent was Brown vs Board (1954) the most significant turning point in ending segregation in America?

To tackle the turning points question it is important to compare the tuning point to other turning points of the period. In the introduction there are several key points that need to be addressed such as the...
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Answered by Thomas C. • History tutor
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