To convert a mixed fraction into an improper fraction, we must follow some steps.
First, we take the whole part and multiply it by the denominator of the fraction.
In this case, we take 2 and multiply it by 8.
Now we add the numerator:
16+3=19
The denominator stays the same:
Hope it helps! :)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>
Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:
(x - h) = [1 / (4 · p)] · (y - k)² (1)
Where:
The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:
x = 2 · y² (1)
The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².
To learn more on parabolae: brainly.com/question/4074088
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Answer:
The Length of swimming pool is 8.35 feet
The width of swimming pool is 5.35 feet
Step-by-step explanation:
Given as :
The length of swimming pool is 3 feet longer that its width
Let The width of swimming pool = w feet
So, The Length of swimming pool = L = (w + 3) feet
Now, The swimming pool is surrounded by deck of 2 feet wide
The width of deck = w' = w + 2 + 2 = (w + 4) feet
The area of deck = 116 feet²
The length of deck = L' = L + 2 + 2 = (L + 4) feet
So, L' = (w + 3 + 4) feet
I.e L' = (w + 7) feet
∵ The area of deck = 116 feet²
So , L' × w' = 116 feet²
(w + 7)× (w + 4) = 116
Or, w² + 4 w + 7 w + 28 = 116
Or, w² + 11 w - 88 = 0
Solving the quadratic equation as
ax² + bx + c = 0
So, w =
Or, w =
Or, w =
or, w =
or, w = 5.35 , -16.35
The width of swimming pool = w = 5.35 feet
The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet
Hence, The Length of swimming pool is 8.35 feet
And The width of swimming pool is 5.35 feet
Answer