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Goryan [66]
2 years ago
8

Help me solve this please i can’t figure it out :/

Mathematics
1 answer:
musickatia [10]2 years ago
5 0

Answer:

x = 12.5

Step-by-step explanation:

By Pythagoras'

16² = 10² + x²

x² = 16² - 10²

x = √(16² - 10²)

x = 12.489...

x = 12.5 (nearest tenth)

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So we are given the expression:

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3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B2%7D%20-%204%20%7D%7B%20%5Csqrt%7Bx%20%7B%7D%5E%7B2%7D%20-%206x%2
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x^2-6x+9 = (x-3)^2

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This means that the expression is defined for every x\neq 3

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2

Since we can't accept 3 as an answer, the actual solution set is

(-\infty,-2] \cup [2,3) \cup (3,\infty)

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2 years ago
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