exam Maths Puzzle Numerical Ability

A rectangle is placed under the parabolic arch given by f(x)=27-3x squared by using a point (x,y) on the parabola, as shown. Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.

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exam Other Question

Suppose a chord of a circle is 24 inches long and is 9 inches from the center. Find the length of the radius. Hiya!
I was hoping you guys could help me with this:

Use long division to find the quotiet and remainder when 2x^5 + x^4-x+1 is divided by 2x^2-x-1.

Thanks alot!