What is the representation of the third element in an array called a?
1 answer:
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(A) 4 sec the ball is in the air.
(B) Height of the ball = 49 ft.
(C) Yes, the ball is at its maximum height at 1.5 seconds.
Solution:
Given data:
Initial velocity = 48 ft/s
Height = 64 ft
(A)
a = –16, b = 48, c = 64
We can solve it by using a quadratic formula,
Time cannot be in negative. So neglect t = –1
t = 4 sec
Hence, 4 sec the ball is in the air.
(B) When t = 1.5 sec,
h(1.5) = 49 ft
(C) The maximum height occurs at the average of zeros.
Average = sec
Yes, the ball is at its maximum height at 1.5 seconds.
Answer:
B
Step-by-step explanation:
We are given a circle whose diameter has endpoints (-3, 6) and (5, -2).
And we want to equation of the circle in standard form.
First, let's determine the center of the circle. Since we are given the diameter, the center will be the midpoint of the diameter. The midpoint is given by:
By substitution:
Evaluate:
Thus, the center of our circle is (1, 2).
Next, we need to find the radius of our circle. We can use the distance formula to find the diameter, and then divide that by two to find the radius. The distance formula is given by:
Let (-3, 6) be (x₁, y₁) and (5, -2) be (x₂, y₂). Substitute:
Evaluate:
Therefore, the radius will be:
The equation for a circle is given by:
Where (h, k) is the center.
By substituting everything in, we acquire:
Simplify:
Therefore, our answer is B.