Answer:
Step-by-step explanation:
1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).
2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground
you may have to change the english a bit and english is not my first language
hope this will help
Proportional equations are the equations that have the graph which pass through (0,0).
y = -9x is proportional.
y=x is proportional
y=1/2x is proportional
That's it. Only these three equations have (0,0) intercept.
The present age of Jane is 45 years old and present age of her sister is 9 years old
<em><u>Solution:</u></em>
Let the present age of Jane be "x"
Let the present age of her sister be "y"
<em><u>Jane is 5 times older than her sister</u></em>
present age of Jane = 5(present age of her sister)
x = 5y ---------- eqn 1
<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>
Age of sister after 3 years = 3 + y
Age of jane after 3 years = 3 + x
Age of sister after 3 years = 1/4(age of jane after 3 years)
![3 + y = \frac{1}{4}(3 + x)](https://tex.z-dn.net/?f=3%20%2B%20y%20%3D%20%5Cfrac%7B1%7D%7B4%7D%283%20%2B%20x%29)
Substitute eqn 1 in above equation
![3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9](https://tex.z-dn.net/?f=3%20%2B%20y%20%3D%20%5Cfrac%7B1%7D%7B4%7D%283%20%2B%205y%29%5C%5C%5C%5C12%20%2B%204y%20%3D%203%20%2B%205y%5C%5C%5C%5C5y%20-%204y%20%3D%2012%20-%203%5C%5C%5C%5Cy%20%3D%209)
Substitute y = 9 in eqn 1
x = 5(9)
x = 45
Thus present age of Jane is 45 years old and present age of her sister is 9 years old
Answer:
4.2 percent
Step-by-step explanation:
Answer:
A. Theorems
and
B.Corollaries
Step-by-step explanation: