Answer:
D. 1024 feet
Step-by-step explanation:
The height function can be written in vertex form as ...
f(t) = -16(t -2)^2 +1024
This has a maximum value of 1024 (feet) at t=2 (seconds).
The maximum height of the ball is 1024 feet.
_____
Rearranging to vertex form can be accomplished in a few steps:
-16(t^2 -4t) +960 . . . . . factor the leading coefficient from the variable terms
-16(t^2 -4t +4) +960 -(-16)(4) . . . . . add and subtract the square of half the linear term coefficient: (4/2)^2 = 4
-16(t -2)^2 +1024 . . . . . collect terms and put into vertex form
The value of x that fills the coordinate are 7 or -5
<h3>Distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
D = √(x2-x1)² +(y2-y1)²
Substitute the given coordinates
10 = √(15-7)² +(1-x)²
100 = 8² +(1-x)²
(1-x)² = 100 - 64
(1-x)² = 36
1- x = -6
x = 7 or -5
Hence the value of x that fills the coordinate are 7 or -5
Learn more on distance formula here: brainly.com/question/661229
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Complete question
<em>If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.</em>
Total price after 6 years in Account I is :
Total price after 6 years in Account II is :
Total balance,
Hence, this is the required solution.
Given: A book sold 35,900 copies in its first month of release. Suppose this represents 8.3% of the number of copies sold to date.
Required: To determine how many copies have been sold to date.
Explanation: Let the number of copies sold to date be x. Then according to the question-
Simplifying for x as follows-
Final Answer: The number of copies sold = 432,530 (approx).