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A circle with centre C has equation x^2 + y^2 + 2x + 6y - 40 = 0 . Express this equation in the form (x - a)^2 + (x - b)^2 = r^2. Find the co-ordinates of C and the radius of the circle.

We can express the equation of any circle in the form (x - a)^2 + (y- b)^2 = r^2. The centre of the circle is then the point (a, b) and its radius is ...

BK
Answered by Baran K. Maths tutor
11926 Views

The line AB has equation 3x + 5y = 7. What is the gradient of AB?

The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.

So we need to get the equation 3x + 5y = 7 into the above...

BK
Answered by Baran K. Maths tutor
7824 Views

When should I use the perfect and imperfect tenses when talking about past actions?

For this question we will use the verb manger (to eat) as an example.

The perfect tense is used to describe an action which took place once in the past. You...

LG
Answered by Laura G. French tutor
3001 Views

What does a velocity-time graph represent?

The first step in answering any question is to figure out what the question really means! Velocity is a term physicists use to describe not just speed, but speed in a particular direction. When we talk...

IS
Answered by Iman S. Physics tutor
19619 Views

What does it take to make a 7 in HL Economics?

Most IB students pick HL Economics thinking it is an easy seven that can boost their total score. However, IB economics is one of the most instense courses offered by the IBO. There are five main steps...

YM
Answered by Youssef M. Economics tutor
27345 Views

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