Answer:
4y-x+6
Step-by-step explanation:
Using pythagorean's theorem
a^2+b^2=c^2
a being 3
b being 4
we'll get
9+16=25
where 5 is the hypotenuse and also c.
c^2 = 5^2
The expression that is not a variation of the Pythagorean identity is the third option.
<h3>
What is the Pythagorean identity?</h3>
The Pythagorean identity can be written as:
![sin^2(x) + cos^2(x) = 1](https://tex.z-dn.net/?f=sin%5E2%28x%29%20%2B%20cos%5E2%28x%29%20%3D%201)
For example, if we subtract cos^2(x) on both sides we get the second option:
![sin^2(x) = 1 - cos^2(x)](https://tex.z-dn.net/?f=sin%5E2%28x%29%20%3D%201%20-%20cos%5E2%28x%29)
Which is a variation.
Now, let's divide both sides by cos^2(x).
![sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1](https://tex.z-dn.net/?f=sin%5E2%28x%29%2Fcos%5E2%28x%29%20%2B%20cos%5E2%28x%29%2Fcos%5E2%28x%29%20%3D%201%2Fcos%5E2%28x%29%5C%5C%5C%5Ctan%5E2%28x%29%20%2B%201%20%3D%20sec%5E2%28x%29%5C%5C%5C%5Ctan%5E2%28x%29%20-%20sec%5E2%28x%29%20%3D%20-1)
Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read:
brainly.com/question/24287773
Answer:
4
Step-by-step explanation:
5