the length of a rectangle is 4 inches less than twice its width. if the area of the rectangle is 70 square inches, what are its
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.
Answer:
(-6, 6), (2, 6), (-6, -2), (2, -2)
Step-by-step explanation:
Unfortunately, you can't just multiply the coordinates of the corners by 4. That works if the center of the enlargement is the origin, (0, 0). So you have to do this enlargement in 3 steps for <u>each</u> of the corner points.
Step 1 Move the point right 2 units and down 2 units <em>.</em>
The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).
Step 2 Multiply the new coordinates by 4.
Step 3 Move the new point left 2 units and up 2 units .
Example: using the upper-left corner (-3, 3)...
Step 1
Step 2
Step 3
Repeat the process with the other three corners.