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zloy xaker [14]
3 years ago
6

Simplify your answer as much as possible

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

You said    - 1/3 - 3/5 x  =  1/2

Multiply each side by 3 :

- 1 - 9/5 x  =  3/2

Multiply each side by 5 :

- 5 - 9x  =  15/2

Multiply each side by 2 :

- 10 - 18x = 15

Add 10 to each side :

- 18x  =  25

Divide each side by -18 :

<em>x = - 25/18</em>

or  x = - 1 and 7/18 (same thing)

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4 years ago
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
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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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