exam Maths Puzzle Numerical Ability

circle with equation: X^2 + Y^2 - 6X - 18Y + 45
Tangent touches the circle at point T equation of the tangent is 2Y = X
Show algebraically that T has coordinates (6,3).

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exam Other Question

Multiply.
8pq²(2pq-3p+5q)
The price p, in dollars, and the quantity x sold of a certain product obey the demand equation:

x = -5p + 100, 0 (less than or equal to) p (less than or equal to) 20

a.) ex