56000 is the answer because 10 to the third power is 1000. and 1000×56 is 56000
3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0
Greater then or less then
Answer:
![b=\sqrt{c^2-a^2}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E2-a%5E2%7D)
Step-by-step explanation:
The given relation is
![c=\sqrt{a^2+b^2}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
To make
the subject, we square both sides of the equation to get;
![c^2=(\sqrt{a^2+b^2})^2](https://tex.z-dn.net/?f=c%5E2%3D%28%5Csqrt%7Ba%5E2%2Bb%5E2%7D%29%5E2)
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Isolate
on one side of the equation;
![c^2-a^2=b^2](https://tex.z-dn.net/?f=c%5E2-a%5E2%3Db%5E2)
Or
![b^2=c^2-a^2](https://tex.z-dn.net/?f=b%5E2%3Dc%5E2-a%5E2)
We take the positive square root of both sides to get;
![b=\sqrt{c^2-a^2}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7Bc%5E2-a%5E2%7D)
Use the formula
n(n-1)/2
which is the total number of connections between n points
So,
4(3)/2 = 6
the answer is option C.
Hope this helps