Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
27+56=83 IDK I GUESS THATS YOUR ANSWER
Experimental Probability is the number of times an event occurs over the total number of times the activity is preformed. Does that help or make sense?\
Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
![x+y=5](https://tex.z-dn.net/?f=x%2By%3D5)
Subtract y from both sides:
![x=5-y](https://tex.z-dn.net/?f=x%3D5-y)
Now, substitute "5-y" for "x" in the first equation:
![(5-y)^2-y^2=100](https://tex.z-dn.net/?f=%285-y%29%5E2-y%5E2%3D100)
Note that:
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![25-10y+y^2-y^2=100](https://tex.z-dn.net/?f=25-10y%2By%5E2-y%5E2%3D100)
Cancel out like terms:
![25-10y=100](https://tex.z-dn.net/?f=25-10y%3D100)
Subtract 25 from both sides:
![-10y=75](https://tex.z-dn.net/?f=-10y%3D75)
Divide both sides by -10
![y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B75%7D%7B-10%7D%3D%5Cfrac%7B15%7D%7B-2%7D%3D-%5Cfrac%7B15%7D%7B2%7D)
Now, substitute this value back into either of the equations to solve for x.
![x+y=5\\x-\frac{15}{2}=5\\](https://tex.z-dn.net/?f=x%2By%3D5%5C%5Cx-%5Cfrac%7B15%7D%7B2%7D%3D5%5C%5C)
Add 15/2 to both sides:
![x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}](https://tex.z-dn.net/?f=x%3D5%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B10%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B25%7D%7B2%7D)
Now, find the difference:
![x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20](https://tex.z-dn.net/?f=x-y%3D%5Cfrac%7B25%7D%7B2%7D-%28-%5Cfrac%7B15%7D%7B2%7D%29%3D%5Cfrac%7B25%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%3D%5Cfrac%7B40%7D%7B2%7D%3D20)