Answer:




Step-by-step explanation:
From the question we are told that:
Center of hyperbola at ( 6 , 9 )
Focus of hyperbola at ( 11 , 9 )
Vertex of hyperbola at ( 9 , 9)
Equation of hyperbola 
Generally the C and D of the hyperbola equation is mathematically given by



Generally the A and B a of the hyperbola equation is mathematically given by






Therefore with Center,Focus ,Vertex on the same line





Y=7/10x+(-4)
The slope of HK is -10/7, so a perpendicular slope is 7/10
The y intercept of a line with m=7/10 going through the midpoint of HK has a y intercept of -4, therefore: y=7/10x+(-4)
Answer:
The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as 2 (1.41421356..., the square root of 2, an irrational algebraic number).