The sum of three numbers is 9.The first number minus the second plus the third is 3. The first minus the third is 1 more than th
1 answer:
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We need to find the direction the ball is moving, so wee have this parametric equation, namely:
Note that this parametric equation is an ellipse. The graph of this equation is given in figure below. So, we well substitute some values of t in the equation:
If t = 0
x = 4 and y = 3
P0(4, 3)
if t = 1
x = 3.08 and y = 5.52
P1(3.08, 5.52)
if t = 2
x = 1.16 and y = 5.72
P2(1.16, 5.72)
Finally, as shown in the figure, the answer is B. counterclockwise. Notice the trajectory that follows P0, P1 and P2.
Note that this parametric equation is an ellipse. The graph of this equation is given in figure below. So, we well substitute some values of t in the equation:
If t = 0
x = 4 and y = 3
P0(4, 3)
if t = 1
x = 3.08 and y = 5.52
P1(3.08, 5.52)
if t = 2
x = 1.16 and y = 5.72
P2(1.16, 5.72)
Finally, as shown in the figure, the answer is B. counterclockwise. Notice the trajectory that follows P0, P1 and P2.
9514 1404 393
Answer:
- 9.5
- maximum, 34.5, 5
- 10.9
Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
- The irrigation system is positioned <u> 9.5 </u> feet above the ground.
The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
- The spray reaches a <u> maximum </u> height of <u> 34.5 </u> feet at a horizontal distance of <u> 5 </u> feet away from the sprinkler head.
- The spray reaches all the way to the ground at about <u> 10.9 </u> feet away.
The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
