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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

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How do you solve a quadratic inequality?

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

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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

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A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.

(In the following answer, y' denotes dy/dx, i.e. the derivative of y with respect to x, where y is a function of

Answered by • Maths tutor

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How do I find the reultant force acting on an object sitting on a slope?

Firstly, you should consider what forces are acting on the object and in what direction. It helps to draw a large diagram to label. In most questions, the forces should be told to you. It helps to keep in...

Answered by • Maths tutor

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