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P (–1, 4) is a point on a circle, centre O which is at the origin. Work out the equation of the tangent to the circle at P. Give your answer in the form y = mx + c

A tangent makes an angle of 90 degrees with the radius of a circle.Using this fact, we find the gradient of the radius going through P = -4Therefore gradient of the tangent to the circle at P is -1/-4 = 1/4T...
CG
Answered by Charlie G. • Maths tutor
10415 Views

How did Adolf Hitler and the Nazi Party consolidate their power by 1934?

This question will probably be worth around 6 marks in the exam depending on what exam board is being sat. A general rule of thumb is that if a question is worth 6 marks then 6 pieces of information will be ...
AG
Answered by Alexander G. • History tutor
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A mass of 2kg is dropped from rest at a height of 10m. i) What is the initial GPE of the mass? ii) What is the final velocity of the mass when it hits the ground?

Part i Gravitational Potential Energy (GPE) = mass x gravitational acceleration constant x heightGPE = 2 x 9.81 x 10 = 196.2J Part ii Conservation of energy states that the sum of the GPE and KE at the intia...
ZS
Answered by Zaakir S. • Physics tutor
4609 Views

n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number

We want to show that this gives an even number, so we need to get it into a form that it is 2 multiplied by some positive integer. We start by expanding the (n-2) 2 out, remember that (n-2) 2 =(n-2)(n-2). Th...
JC
Answered by Jacob C. • Maths tutor
27346 Views

Give an advantage of hard water.

Hard water tastes better.
AB
Answered by Angus B. • Chemistry tutor
2553 Views