2 more conics questions.
1)find an equation of the hyperbola with center (2,3), a focus at (2,5), and a focal chord of length 6.
2)a section of roller coaster track is shaped of a parabola. The track spans a horizontal distance of 84 yards and has a maximum height of 32 yards. Six vertical support beams are located at a distance of 12 yards from each other. Find the sum of the lengths of all six vertical beams.
Find the equation of your parabola. The vertex is at (0,32)
and it passes through (42,0)
The parabola equation is y=-8x^2/441+32
Can you continue from there?. We centered the parabola at the origin.
Space your beams accordingly. You could put the first one to the right at x=6, then x=18, then x=30.
The same to the left. Add up all your y values.