Response:
1. Closure
2. Distributive
3. Closure
Detailed explanation:
In this scenario, we are examining the properties that each equation demonstrates.
The first equation shows the closure property.
This indicates that whether we add in one direction or the other, the result remains unchanged. Therefore, we conclude that addition conforms to the closure property in this case.
The third equation also shows the closure property. Regardless of how we approach the addition for this equation, the outcome remains consistent.
The second equation displays the distributive property.
Each element within the parentheses is multiplied by the negative sign before we proceed with further calculations.
The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.
The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
1 cg equals 10^-5 kg
Thus, 8.25 * 10^2 cg converts to 8.25 * 10^-3 kg
1 nanogram is represented as 10^-12 kg
Consequently, 8.25 * 10^-3 kg is equivalent to 8.25 * 10^9 nanograms
As a result, 8.25 * 10^2 cg is equal to 8.25 * 10^9 nanograms.