We know that
The difference of two squares<span> is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity</span>
<span>
(A</span>²-B²)=(A+B)*(A-B)
<span>so
the answer is
</span><span>49m2 − 81n4
</span>49m2 − 81n4=(7m+9n²)*(7m-9n²)
Always. The only way an irrational number can become rational is if it’s multiplied by a irrational number.
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± 
= ± 2
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = 
( take the square root of both sides )
x = ± 
= ± 
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± 
Answer b. The probability that at least 41 of them like to swim is 33%.
Solution:
The probability of an event is always 1 or 100%
The probability of at most 40 of them like to swim is 67% = 0.67
The probability of at most 40 not swimming = 1 - 0.67 = 0.33
Hence the probability of at least 41 people swimming is 33%.
<h3>What is Probability?</h3>
- The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
- An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
- The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half.
Learn more about Probability brainly.com/question/24756209
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For the denominators (7, 13) the least common multiple (LCM<span>) is </span>91.
Therefore, the least common denominator (LCD<span>) is </span>91.
<span>Rewriting the original inputs as equivalent fractions with the </span>LCD:
<span>78/91, 49/91.</span>
