Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:
At a horizontal distance of 4 feet, the value of x is 4
i.e. 
Substitute 4 for x in f(x).
So, we have:
Evaluate the exponent
Open both brackets
Add -4.8 and 8
Hence, the hose is 3.2 feet above the ground
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Calculate the circumference of the full circle:
circumference = PI x diameter = 3.14 x 20 = 62.8 inches
the arc length is 160 degrees of the full circle
divide 160 by 360 (full circle) and multiply by the circumference:
160/360 x 62.8 = 27.9 inches
The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
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You can learn more about the equation of the parabola in brainly.com/question/9390381
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The answer is three million , three hundred , eighty eight thousand , one hundred , ninth eight
