You can use Pick's theorem, where:
Area = Number of interior points (points inside the polygon) +

· Number of boundary points (points on the polygon's perimeter) - 1
so:
1.Yellow:
Interior points = 3
Boundary points = 8

2. Red:
Interior points = 2
Boundary points = 10
Answer:400%
Step-by-step explanation: by the commutativity of multiplication we find (2x)^2=4(x^2)=4(y)
Answer:2
Step-by-step explanation:
Y = kx
4.8 = 4k
k = 4.8/4 = 1.2
Therefore, required equation = y = 1.2x
Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:
