the distance between City A and B is 250 Miles. On a certain wall map this is represented by a length of 1.9 ft. On the map how
1 answer:
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The correct option D; models the depth of the submarine.
<h3>Define the term parabola?</h3>- Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.
When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.
Both x = 5 as well as x = 40 have zeros.
Since it's a parabola,
D(x) = a(x-5)(x-40)
vertex = (22.5, -146)
Thus,
-146 = a(22.5-5)(22.5-40)
a = -146/(22.5-5)(22.5-40)
a = 0.4767
Put value of a in equation.
D(x) = a(x-5)(x-40)
D(x) = 0.4767(x-5)(x-40)
The equation above is quadratic function model.
We can see from the graph that:
(5) and (0), respectively, are points on the graph (40,0).
Consequently, if x = 5 when y = 0, then.
y(min) > -160.
Additionally, the table in option (D) represents the submarine's depth.
To know more about the parabola, here
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The graph of the question with the options are attached.
We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:
We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.
Hence, we can write:
Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.