Answer:m=2k/v^2
Step-by-step explanation:
The first thing you should do is divide 1/2 on both sides. Now you have 2k=mv^2. Then divide v^2 from each side and you get a final answer of (2k/v^2)=m
(0, 9) represents the y-intercept of the graph.
Since the slope is 1/3, this means that y will rise 1 for every 3 that x runs.
The points that can be used to make a line in this graph are (3, 10) and (6, 11).
Answer:
Part a) The area of the swimming pool is 
Part b) The total area of the swimming pool and the playground is 
Step-by-step explanation:
Part a) Find the area of the swimming pool
we know that
The area of the swimming pool is

where
L is the length side
W is the width side
we have

substitute the values


therefore
The area of the swimming pool is 
Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground
we know that
To obtain the area of the playground multiply the area of the swimming pool by one and a half

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground
so

therefore
The total area of the swimming pool and the playground is 
we are given

We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6

now, we will check each terms
At x=-2:
We can use synthetic division
we get

so, x+2 will be factor
and we can write our expression from synthetic division as


now, we can find factor of remaining terms

we can use quadratic formula


we can compare our equation with quadratic equation
we get

now, we can plug these values




so, we get

so, we can write factor as

so, we get completely factored form as
...............Answer