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If (20.14) is an ordered pair of the inverse of F(X), which of the following is an
1 answer:
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<h2>Hello!</h2>
The answer is: The first graphic representation.
<h2>Why?</h2>We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.
Let's make the equation equal to 0 in order to find the values of "t"
So, discarding the negative value, we can use the possitive value to find the correct graphic representation.
To find the correct graphic representation we must take into consideration the following:
- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.
From the given quadratic (or parabola) equation we have:
So, since the coefficient of the quadratic term is negative, the parabola opens downward.
- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)
- We are looking for a parabola which y-axis intercept is equal to 150.
Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.
Have a nice day!
Answer:
25.12 meters
Step-by-step explanation:
The circumference of a circle is given by
(1)
where:
r is the radius of the circle
In this problem, the parachute has a diameter of 8 meters:
d = 8 m
The radius of a circle is equal to half of its diameter, so the radius of the parachute is:
And therefore, by applying eq.(1) we can find the circumference of the circle: