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Maths
GCSE

The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

Draw a diagramRearrange the given equation into the form y = mx + cy = -3/2x+7/2Gradients of perpendicular lines - m1*m2=-1, so gradient of PQ = 2/3PQ : y=mx+c -> 4=(2/3)*3+cc=2, therefore PQ: y=2/3x+2...

Answered by Jack W. Maths tutor
2401 Views

How do you solve a quadratic inequality?

  1. Treat it as a normal quadratic equation and solve by factorising: eg. x2 - 5x - 24 > 0 x2 - 5x - 24 = 0 (x + 3)(x - 8) = 0 x = -3 or x = 82) Sketch the curve, showing the po...
Answered by Abeda A. Maths tutor
2668 Views

Tim flies on a plane from London to Tokyo. The plane flies a distance of 9000 km. The flight time is 11 hours 15 minutes. Work out the average speed of the plane in kilometres per hour.

Speed = Distance/TimeSpeed = 9000/11.25Speed = 800 km/h

Answered by Nicholas E. Maths tutor
2808 Views

Factorise 2x^2 - 7x -4

2 x -4 = -8 -8 x 1 = -8 (2x^2-8x)+(x-4) 2x(x-4) + 1(x-4) (2x+1)(x-4)

Answered by Nicola M. Maths tutor
2745 Views

A right-angle triangle has a hypotenuse of 8cm and an angle of 30 degrees. What is the opposite's length?

sinx = o/h sinx x h =o sin30 x 8 = 4cm The opposite is 4cm

Answered by Nicola M. Maths tutor
2858 Views

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