9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
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<em>Additional comment</em>
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
-1 and 25
have a good day!
Answer:85
Step-by-step explanation:
The <em>least common</em> denominator of the <em>rational</em> expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
<h3>How to find a least common denominator of a rational equation</h3>
<em>Rational</em> numbers are formed by numbers of the form n/m, where n and m are integers known as numerator and denominator, respectively. The least common denominator is the <em>least</em> denominator between a group of <em>rational</em> functions such that they get the same denominator.
In this case we have two denominators: x² - 16, 8 · x + 2 · x². We can determine the least common denominator by factoring each expression and discovering known terms:
x² - 16 = (x + 4) · (x - 4)
8 · x + 2 · x² = 2 · x · (x + 4)
The <em>least common</em> denominator of the <em>rational</em> expression [x²/(x² - 16)] + [(9+x)/(8 · x + 2 · x²)] found by factor their denominators is 2 · (x + 4) · (x - 4).
To learn more on least common denominators: brainly.com/question/8393834
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Answer:
120 inches
Step-by-step explanation:
