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Factorise h^2 - 36.

Notice that 36 is a square number equivalent to 6 2 . Can also tell this as the expression contains no coefficients of h so they must cancel each other out. Using this information we can deduce that the fact...
EC
Answered by Ella C. Maths tutor
3423 Views

Rearrange the following to make c the subject: 11a + 5c = d ( 6 + 2c )

Steps: (1) Multiply out the brackets on the left handside [11a + 5c = 6d + 2dc]. (2) Put all terms containing c on one side and all other terms on the other side of the equation [ 5c - 2dc = 6d - 11a]. (3) T...
JL
Answered by Jeremy L. Maths tutor
4118 Views

If a circle passes through points (2,0) and (10,0) and it has tangent line along the y-axis, then what are the possible equations of the circle?

Firstly it will help to draw a diagram of our two points along the x-axis, from this we can find out the x co-ordinate of the center of the circle as these points form a chord of the circle. Where in this ca...
KM
Answered by Kieran M. Maths tutor
4962 Views

Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5

Need to make the bottom of the fraction an integer so we can simplify it. The easiest way to do that is the difference of 2 squares so multiply the whole fraction by (5 - 2 7 0.5 ). This gives us (5-56+20 7^...
EC
Answered by Ella C. Maths tutor
3585 Views

A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.

Establish what information you have been given in the question (mass of person=50kg, mass of bag=10kg, velocity of bag=3m/s, start velocity of both=0m/s). Use the equation momentum=mv and the principle of co...
EC
Answered by Ella C. Maths tutor
3783 Views