Jacob babysat for 4.5 hours 12x4=48 +6(.5)= 4.5 hours
Focus: ( 4, 1 )
Directrix: y = 5
The vertex is always half of a distance between the focus and the directrix.
The vertex must be at: ( 4, 3 ), h = 4, k = 3
|p| is the distance between the vertex and the directrix ( which is over the vertex and p is negative ). p = - 2
The equation:
( x - h )² = 4 p ( y - k )
( x - 4 )² = -8 ( y - 3 )
Answer:
2.4 seconds
Step-by-step explanation:
It is given that,
The time for one swing is proportional to the square root of the length of the string.

or
....(1)
We have,
L₁ = 64 cm, T₁ = 1.6 s, L₂ = 144 cm, T₂ = ?
Substitute all the values in formula (1).

So, the new time period of the simple pendulum is 2.4 seconds.