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Line L1 passes through points (4,6) and (12,2). Line L2 passes through the origin and has gradient -3. The two lines intersect at point P. Find the co-ordinates of P.

Gradient of L1 : Gradient = Change in y/ Change in x. Gradient = (2-6)/(12-4)= -1/2 Gradient is "m" in y=mx+cPlug in a point to determine c : 6 = -1/2 *4 + c --> c =8 L1 is given by y=-1/2x +8 L...
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Answered by Bjorn L. Maths tutor
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Using the quadratic formula find the solutions for x^2+x-6

By subbing in a=1 b=1 and c=-6 into the quadratic formula, you should get two solutions of x which are x = 2 and x = -3
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Answered by Loretta O. Maths tutor
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Write x^2 + 4x - 16 in the form (x+a)^2-b

Concentrate on the x^2+4x. Halve the 4 or any number that occupies that space. Equals 2 in this case. Put (x+2)^2 and that is your first term. Expand the brackets= x^2 + 4x + 4. Don't want the extra + 4 as t...
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Answered by Lucy B. Maths tutor
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Ecrivez dans votre journal intime le récit de vos dernières vacances.

Cher Journal,Il faut absolument que je te raconte la semaine incroyable que j'ai passé avec Lucie et Emma cet été.Nous sommes allé en Sicile, une petite île au sud de l'Italie où Emma à une maison. Le temps ...
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Answered by Charlotte Q. French tutor
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What was the Berlin blockade?

During the Cold War, Stalin cut off all road and rail traffic into West Berlin which was, at the time, occupied by the USA. This left 2 million Germans living in West Berlin isolated with only enough resourc...
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Answered by Anya K. History tutor
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