The max height will be reached after 3 seconds.
You have a typo in your equation. For this type of quadratic equation, it always starts out with a negative coefficient of the t squared term.
To find the x-coordinate of the vertex, we just need to use the expression: -b/2a.
Then, we have:
-24 / (2(-4))
-24 / -8
3
1) -13 = -4a - 2b + c
-13 = -2(2a + b) + c
2) 3 = 4a + 2b +c
3 = 2(2a + b) + c
3) 5 = 16a + 4b + c
5 = 4(4a + b) + c
[ Final Answers are in bold ]
Hope this helps!
Answer:
180.4 inches (15.033 feet)
Step-by-step explanation:
To solve this, we convert 15.3 feet to inches. We do this by multiplying 15.3 by 12. This gets us 183.6. Now, we subtract 3.2 from 183.6. This gets us 180.4. That means the piece cut off of 180.4 inches long. To convert this to feet, we divide by 12. That gets us 15.033. That means the piece cut off is 180.4 inches long, or 15.033 feet long.
Because there is a square at the bottom of the figure, we can say that the angle is equal to 90 degrees (x+22). Thus, the equation would be
x+22 = 90
x = 68
The value of "x" is then equal to 68
