Using the Pythagorean Theorem, it is found that the unknown side length of the triangle is of 7.9 cm.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:

Researching this problem on the internet, we have that:
- The unknown side length is of a leg of x.
- The other leg is of 9 cm.
- The hypotenuse is of 12 cm.
Hence:
x² + 9² = 12²
x = sqrt(12² - 9²)
x = 7.9 cm.
The unknown side length of the triangle is of 7.9 cm.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
Step-by-step explanation:
Answer:
10u² + 14uv - 3v²
Step-by-step explanation:
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
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Answer:
2 • (x2 - 2y)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
2x2 - 4y
Step 2 : See below
Step 3 : See below
Pulling out like terms :
3.1 Pull out like factors :
Answer: 2 • (x2 - 2y)
<em><u>Hope this helps.</u></em>