Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
Answer:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
The answer is: [A]: "right [triangle]" .
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Explanation:
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Given: Side lengths:
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" <span>24 in., 32 in., and 40 in " ;
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Divide each side length by "8" ;
</span><span>
24 in. / 8 = 3 in. ;
32 in. / 8 = 4 in. ; and
40 in. / 8 = 5 in. .
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3 in . , 4, in, 5 in. ; is a "right triangle" ;
since: 3</span>² + 4² = 5² ;
→ 9 + 16 = 25 ;
according to the Pythagorean theorem: " a² + b² = c² " .
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Answer:
5xy
Step-by-step explanation:
x and y can only go into both into once