book Maths Puzzle Numerical Ability

Write the equation of a hyperbola from the given information. Graph the equation. Place the center of the hyperbola at the orgin of the coordinate plane. One focus is located at (0,6); one vertex at (0,-(square root) 7

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2z+7<z+10 4(k-1)>4 r+4>13-2r 6u-18-4u<22 Suppose that a ball is dropped from a height of 30ft and that each bounce reaches to 3/8 of the previous height. How high will the ball bounce on the second bounce?