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Rashid [163]
2 years ago
8

Which expression is equivalent to

Mathematics
1 answer:
pickupchik [31]2 years ago
4 0

✿————✦————✿————✦————✿

This is the answer:

✿————✦————✿————✦————✿

Step:

* To raise a power to another power, multiply the exponents. Multiply 1/2 and −2 to get −1.

* To raise a power to another power, multiply the exponents. Multiply −1/4  and −2 to get  1/2.

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The legs of a right triangle measure 3x and 15. If the hypotenuse measures 3x + 3, what is the value of x?
Ivan
The answer is <span>b.12
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According to the Pythagorean theorem the square of the hypotenuse (c) is the sum of the squares of the legs (a and b):
 c² = a² + b²

We have:
a = 3x
b = 15
c = 3x + 3

Now, let's replace these parameters:
c² = a² + b²
(3x + 3)² = (3x)² + 15²
(3x)² + 2 * 3x * 3 + 3² = 9x² + 225
9x² + 18x + 9 = 9x² + 225

Rearrange:
9x² - 9x² + 18x = 225 - 9
18x = 216
x = 216 / 18 = 12
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3 years ago
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