The height of water shooting from a fountain is modeled by the function f(x)= -4x^2 +24x -29 where access to distance from the s

Question

2 years ago

9

pot in feet. complete the square to determine the maximum height of the path of the water.

1 answer:

suter [353] · Answer 1 · 2023-12-12T06:00:17+03:00

By the use of the completing the square method, the maximum height of the path of the water 3 ±√29/4 + 9 m.

What is called distance?

In everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over").
The distance from a point A to a point B is sometimes denoted as. .

h = -4x² +24x -29

Now we have;

0 = -4x² +24x -29

-4x² +24x -29= 0

x² - 6x = -29/4

(x - 3)² = -29/4 + 3²

(x - 3)² = -29/4 + 9

x = 3 ±√29/4 + 9 m

Therefore, the maximum height of the path of the water x = 3 ±√29/4 + 9 m

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