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A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2) 2 - (n/2) 2 . So for our que...
RM
Answered by Reuben M. • Maths tutor
8951 Views

How do I revise for an English exam?

Whether you are studying a play, novel or poem the key revision techniques are very similar. Firstly, I would say the most important aspect is to familarise yourself with the text itself. For example, with a...
IP
Answered by Isobel P. • English tutor
3868 Views

Using Pythagoras Theorem find the length of the hypotenuse of a right triangle where a=7 cm and b=11 cm. Round to the nearest tenth

Pythagos Theorem states that a^2 + b^2 = c^2 So using the figures we are given the equation would look like this: 7^2 + 11^2 = c^2 We square the numbers we can and then get: 49 + 121 = c^2 We add the left ha...
MB
Answered by Mary B. • Maths tutor
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A cylindrical beaker has a height of 16 cm and a diameter at its bottom of 10 cm. What is its volume? Give your answer to 2 decimal places.

As the beaker is a cylinder, we know the formula of its volume is (pi x (radius) 2 ) x height. Since the radius = 1/2 diameter and the diameter = 10 cm, the radius = 5 cm. We know the height is 16 cm. So the...
AS
Answered by Aneesh S. • Maths tutor
24440 Views

Find the exact value of the gradient of the curve y=e^(2-x)ln(3x-2) at the point on the curve where x=2.

This is a typical gradient question for A2 papers, as it requires use of the Product Rule and Chain Rule, as well as knowledge of e^x. Firstly, we can see that we will need to use the Product Rule as e^2-x a...
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Answered by Sophie K. • Maths tutor
11071 Views