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Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^(2) + y^(2) = 5

If a line is a tangent to a circle, it will have exactly one point where the line intersects the circle. Therefore, when we set the equation of the straight line equal to the equation of the circle, we sh...

Answered by Rawdah H. • Maths tutor

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y is inversely proportional to d^2 and when d = 10, y = 4. d is directly proportional to x^2 and when x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.

Firstly, find proportionality equation between the two variables. This should be shown as d = kx^2 and y = b/d^2.Solve to find constants of proportionality of a=6 and b=400. Eliminating for d, find that y...

Answered by Jiangying (Susan) C. • Maths tutor

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How would you differentiate between the hypotenuse, opposite and the adjacent in a triangle?

Firstly, in a right angled triangle, the side opposite the right angle is always the hypotenuse which is the longest side in a right angle triangle. Secondly, the side opposite the given angle is your opp...

Answered by Jenny C. • Maths tutor

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