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how do i calcualte the length of an unknown side of a right angled triangle

To calculate the length of the unknown side you must know the lenght of two of the other sides of the right angled triangle. if we know this we can use pythagoros thereom. The equation for this is a^2+b^2...

Answered by Callum L. • Maths tutor

3604 Views

If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3

To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2

Answered by Peter O. • Maths tutor

4060 Views

Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17

3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore,...

Answered by Isabella G. • Maths tutor

3494 Views

A boy (25kg) and a girl (20kg) are playing on a see-saw which is 4m long. If the boy sits 1m from the centre on the left side and the girl 2m from the centre on the other, which direction will the see-saw will rotate around its centre?

Student should calculate the moments about the pivot point (from diagram recognise this is the centre of the see-saw) for each child. Using the equation, moment = mass x acceleration x distance from pivot...

Answered by John L. • Physics tutor

2095 Views