To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:
(x1+x2/2, y1+y2/2)
( (16 + -6)/2, (5 + -9)/2 )
Now, we can begin to simplify by computing the addition in the numerators of both fractions.
(10/2, -4/2)
Next, we can finish the simplification process by dividing these fractions.
(5, -2)
Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).
Hope this helps!
-9,-5, -1, 10 is the right order
If the apple is on the ground, then the height y is 0. To find t, just plug in 0 for y:
![0=-16t^{2}+120](https://tex.z-dn.net/?f=0%3D-16t%5E%7B2%7D%2B120)
![-120=-16t^{2}](https://tex.z-dn.net/?f=-120%3D-16t%5E%7B2%7D%20)
![t^{2} =7.5](https://tex.z-dn.net/?f=%20t%5E%7B2%7D%20%3D7.5)
![t=2.74](https://tex.z-dn.net/?f=t%3D2.74)
So the answer is 2.74 seconds.
Note that taking the square root of 7.5, mathematically, gives you both 2.74 and -2.74. But because we know that time did not go backwards, only the positive value for t was considered.
Answer: The price of the TV including tax is $157.65.
Step-by-step explanation: