Question

I got the equation but I want to double check if it is right or not.
Semielliptical Arch Bridge. An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 36 meters wide. The center of the arch is 8 meters above the center of the river. Write an equation for the ellipse in which the x-axis conicides with the water level and then y-axis passes through the center of the arch.

Type the left side of the equation of the equation below
____________________= 1

Answer 1

when x=0; y=8
when y=0; x=36/2

Answer 2

use those properties to determine the denominators of the standard ellipse equations

Answer 3

another way of stating what amistre said is:
-the major axis is 36
-the minor axis is 16 (8 + 8)
-ellipse is centered @ the origin

Answer 4

should I use the formala x^2/a^2 +y^2/b^2

Answer 5

\[\frac{ x ^{2} }{ 256 }+\frac{ x ^{2} }{ 64{} }\]

Answer 6

should you use that formula? yes

Answer 7

under y is 8^2 and under x is 18^2

so other than a typo, that seems fine

Answer 8

Thank you!