-x + y = 4
2x + y = 1
-3x = 3
-3 -3
x = -1
2x + y = 1
2(-1) + y = 1
-2 + y = 1
+ 2 + 2
y = 3
(x, y) = (-1,3)
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is 
. In this case, the equation looks like 
2. Isolate h by dividing both sides of the equation by 
3. This leaves us with 
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
Answer:
(a) 128 ft
(b) 4 s
(c) Vertex: (1, 144)
Step-by-step explanation:
Given information:
- h(t) = height in feet
- t = time in seconds after the launch
<h3><u>Part (a)</u></h3>
The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).
Therefore, from inspection of the graph, the y-intercept is (0, 128).
So the <u>height of the projectile at launch is 128 ft</u>.
<h3><u>Part (b)</u></h3>
The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).
From inspection of the graph, the x-intercept is (4, 0)
So the <u>length of time it took for the projectile to land is 4 s</u>.
<h3><u>Part (c)</u></h3>
The vertex is the turning point (minimum/maximum point).
Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.
The vertex represents the time and height at which the projectile was at its maximum. So at the time of 1 second, the projectile was at its maximum height of 144 ft.
