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!
Answer:
grgrgrgrg
Step-by-step explanation:
The answer is 18 inches.
Let r=radius and d=diameter
2r=d
2(9)=d
18=d
Hope this helps!
Step-by-step explanation:
Average daily balance: Add all balances up and divide by the number of days.
157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option
Daily interest rate: 24.99/365, as a percent, which is the first option
Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value
New account balance: Again, this does not seem to be given, but the only option remaining is the second one
The product of the given polynomials is 12
y+8x²
.
The given polynomial is 4x²y(3x⁴+2y³).
We need to find the product of the given polynomials.
<h3>How to multiply the polynomials?</h3>
To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.
Now, using the distributive property we get 4x²y(3x⁴+2y³)=4x²y×3x⁴+4x²y×2y³
=12y+8x²
Therefore, the product of the given polynomials is 12y+8x².
To learn more about the multiplication of polynomials visit:
brainly.com/question/20121808.
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