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Shape ABCD is a parallelogram. Y is the mid-point of AB and Z is on BC such that BZ=1/2ZC. Given that AB=a and BC=b, describe, in terms of a and b: a) AC b)CY c)YZ

a) AC = a + b

b) CY = -b -1/2a 

c) YZ = 1/2a + 1/3b

MC
Answered by Matthew C. • Maths tutor
4738 Views

Thomas wants to see how far he can throw a javelin. He records four of his throws as 45 metres, 40 metres, 55 metres, and x metres. Given that the mean of Thomas' throws is 50, determine the value of x.

Answer is 60.

MC
Answered by Matthew C. • Maths tutor
3234 Views

A particle of mass 0.8 kg moving at 4 m/s rebounds of a wall with coefficient of restitution 0.3. How much Kinetic energy is lost?

Coefficient of Restitution (CoR): Speed of Approach x CoR = Speed of Seperation 4 x 0.3 = 1.2 ms-1 Kinetic Energy (KE) Lost: KE lost = Initial KE - Final KE Initial KE = 1/2mv2      ...

GM
Answered by George M. • Maths tutor
3641 Views

Solve the pair of simultaneous equations; (1) y + 4x + 1 = 0, (2) y^2 + 5x^2 + 2x = 0 .

Rearrage equation (1) to make y the subject of the formula. This gives y = -4x -1 .

Substitute this value of y into equation (2). This gives (-4x -1)^2 +5x^2 +2x = 0 . 

Expanding out the bra...

MG
Answered by Melanie G. • Maths tutor
7058 Views

Solve the simultaneous equations: y = x - 2 and y^2 + x^2 = 10

y = x - 2

y2 + x2 = 10

  1. Subsitutute the top equation into the second equation:

     (x-2)2 + x2 = 10

  1. Exp...
IR
Answered by Iman R. • Maths tutor
16053 Views

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