Question 1136095


{{{(x -5)^2 /81 - ( y - 1)^2/144 = 1}}}

=>{{{h=5}}}, {{{k=1}}}

center: ({{{5}}},{{{1}}})

{{{a=sqrt(81)=9}}}

{{{b=sqrt(144)=12}}}

{{{c=sqrt(81+144)}}}

{{{c=sqrt(225)}}}

{{{c=15}}}

the vertices are at ({{{h+a}}},{{{k}}}), ({{{h-a}}}, {{{k}}} )
({{{5+9}}},{{{1}}})=({{{14}}},{{{1}}})
({{{5-9}}},{{{1}}})=({{{-4}}},{{{1}}})

foci at ({{{h+c}}},{{{k}}}), ({{{h-c}}}, {{{k}}} )
({{{5+15}}},{{{1}}})=({{{20}}},{{{1}}})
({{{5-15}}}, {{{1}}} )=({{{-10}}},{{{1}}})


answer: B.Vertices: (14, 1), (-4, 1); Foci: (-10, 1), (20, 1)