V to the 3rd power = -12
1 answer:
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Answer:
B.
Step-by-step explanation:
We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.
To solve our given system, we will equate both equations as:
Combine like terms:
Upon substituting in equation (1), we will get:
Therefore, the ordered pair is the solution of the given system and option B is the correct choice.
Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:
Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:
Square each expression:
Combine like terms:
Add:
We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!