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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...

Answered by Kieran M. Maths tutor
3405 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 - 270.5). This gives...

Answered by Ella C. Maths tutor
2672 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...

Answered by Ella C. Maths tutor
2696 Views

Calculate the area of a circle with a diameter of 20mm

Firstly draw the circle and label the diameter. Then calculate the radius by dividing the diameter by 2 (radius is 10mm). Using the formula A=pi*r^2 to find the area. This gives the answer as 100pi mm^2 o...

Answered by Ella C. Maths tutor
13043 Views

Find the minimum value of the quadratic 3x^2-8x+1.

This is a question about completing the square. The first step involves taking the factor of 3 our of the expression to reach the correct form for completing the square to reach 3(x^2-(8/3)x)+1. Then, con...

Answered by Jamie M. Maths tutor
2645 Views

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