Is triangle ABC with side lengths of 6,8 and 10 a right triangle?
Yes. By using the pythagorean theorem you see that 6^2 + 8^2 = 10^2
What would be the first step in simplifying the equation 4(x + 6)
The first step would be distributing the 4 through both pieces in the parenthesis.
Consider the system of equations: 2x + y = 5 and 4x + 2y = 10. How many solutions are there to this system?
There are an infinite number of solutions to this system. If you multiply the first equation by 2 you will see both equations are the same. Because they are the same you will be able to put any x/y combination into the system and come out with the same answer.