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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
5093 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
3543 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 original equations and solving fo...
EH
Answered by Elizabeth H. • Maths tutor
15086 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 factors...
OB
Answered by Olivia B. • Maths tutor
7842 Views

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

x 2 -9x-10=0 Find two numbers that add to equal -9 and mulitiply to equal -10 These numbers are -10 and 1 so this equation factorises to equal (x-10)(x+1)=0 Now find the values of x that would make the left ...
LL
Answered by Laura L. • Maths tutor
10775 Views