A surveyor finds that the cross-section of the bottom of a circular pond has the shape of a parabola. The pond is 24 feet in diameter. The middle of the pond is the deepest part
at 8 feet deep. At a point 2 feet from the shore the water is 3 feet deep. How deep is the
pond at a point 6 feet from the shore?

no

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b