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Maths
GCSE

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
4791 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
3271 Views

Solve the simultaneous equations 2x - 3y = 7 and 3x + 4y = 2. Do not use trail and improvement.

[ 2x - 3y = 7 ] *3 = [ 6x - 9y = 21 ]

[ 3x + 4y = 2 ] *2 = [ 6x + 8y = 4 ]

[ 6x + 8y = 4 ] - [ 6x - 9y = 21 ] = [ 17y = -17 ] 

Therefore, y = -1.

Substituting y = -1 into the o...

EH
Answered by Elizabeth H. Maths tutor
14502 Views

How do I find the highest common factor of two numbers?

The factors of a number are all the numbers that divide into it, so the HCF of two numbers is the highest number that is a factor of both numbers. I'd work it out by create a list of all of the prime fact...

OB
Answered by Olivia B. Maths tutor
7325 Views

Factorise and solve x^2-9x-10=0

x2-9x-10=0

  1. Find two numbers that add to equal -9 and mulitiply to equal -10
  2. These numbers are -10 and 1 so this equation factorises to equal (x-10)(x+1)=0
  3. ...
LL
Answered by Laura L. Maths tutor
9976 Views

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