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A circle C with centre at the point (2, –1) passes through the point A at (4, –5).....

(a) Find an equation for the circle C.

Before tackling a question like this it is always a good idea to draw a rough sketch of all the information that's given to you. 

BW
Answered by Brodie W. Maths tutor
18292 Views

Express 3 cos θ + 4 sin θ in the form R cos(θ – α), where R and α are constants, R > 0 and 0 < α < 90°.

To find the value of R, use Pythagoras's Theorem using the coeffecients of cos θ and sin θ. The correct answer should be R=5. Expand the expression  R cos(θ – α). Equate the expanded expression with 3 cos...

AG
Answered by Anahita G. Maths tutor
23492 Views

The cost of 5 calculators is £35. Work out the cost of 8 of these calculators.

If the cost of 5 calculators is equal to £35, then we can use division to figure out how much one calculator costs. If we divide 35 by 5 we get the number 7. This means that one of the calculators is g...

DS
Answered by Danielle S. Maths tutor
4590 Views

What are surds and how does multiplying them work?

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