Write an equation for an ellipse centered at the origin, which has foci at (0,±6) and vertices at (0,±sqrt37)

The equation of the ellipse =

Step-by-step explanation:

Explanation:-

Step(l):-

Given foci of the ellipse is (0,±6)

we know that the foci  ( 0, ±C) = (0,±6)

                                        C   =  6

The focus is lie on y- axis

Step(ll):-

Given data  the vertices are (0,±√37)

The major axes are  (0,±a) =  (0,±√37)

       a = √37

The relation between the focus and semi major axes and semi minor axes are      

Step (lll) :-

The equation of the ellipse    

Conclusion:-

The equation of the ellipse =

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)