exam Maths Puzzle Numerical Ability

ellipse how do you find the center,foci and vertices of the ellipse equation x^2+14x-3y+67=0?

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Please help with this construction word problem--

A garden area is 30ft.long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft., what is the width of the path?

Thank you! Graph the linear equation 3x-2y=6