exam Maths Puzzle Numerical Ability

WRITE THE STANDARD EQUATION FOR THE HYPERBOLA WITH FOCI:(7,0) AND (-7,0) AND VERTICES (5,0) AND (-5,0)?

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Fund the domain of the function:

f(x)=square root of 81-x squared The area of a rectangle is 40 in.2. If the length is x+4in. and the width is x-2., what are the dimensions of the rectangle?