Answer:
exterior angle property use ...
the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle
155 = 60 + x
x = 155 - 60 = 95
The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.
Answer:
A) Particular solution:
B) Homogeneous solution:
C) The most general solution is
Step-by-step explanation:
Given non homogeneous ODE is
To find homogeneous solution:
To find particular solution:
Substituting 
in (1)
Equating the coefficients
The general solution is
from (2) ad (3)
Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.
Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
