Answer:
A
Step-by-step explanation:
Because a^2+b^2=c^2 in a right triangle by Pythagorean's Theorem. So, the only one that works is 3^2+4^2=5^2 because 9+16=25.
Answer:
6
Step-by-step explanation:
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying . This is the second line. Then, you could take the square of the 
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want 
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have 
The last step is divide by the number that we multipy in the first step.
