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?
- Distance is a numerical measurement of how far apart objects or points are.
- The distance between two points is the length of the path connecting them.
- 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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4 miles = 7,040 yards
Hope this helps!
The solutions to the given absolute value equation are:
x = −74 and x = 80
<h3>
How to solve the given equation for x?</h3>
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
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