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2 years ago

Solve the Inequality for x –8x + 16 > –72

Mathematics

1 answer:

erastova [34]2 years ago

4 0

Answer:

Inequality Form:

x< 11

Interval Notation:

( − ∞ , 11 )

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Answer:

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2 years ago

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3 years ago

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Kazeer [188]

Answer:

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2 years ago

Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w

Arte-miy333 [17]

Let $k$ be an integer. Suppose there is a triangle with legs of length 16 and $2k+1$ . Then by the Pythagorean theorem, the length of the hypotenuse should be

$\sqrt{16^2+(2k+1)^2}=\sqrt{4k^2+4k+257}$

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if $x=16$ and $y=2k+1$ are integers, then so are $x^2-y^2$ , $2xy$ , and $x^2+y^2$ .

However, $4k^2+4k+257$ is not a perfect square trinomial, which means for any integer $k$ , the length of the hypotenuse is not an integer, so such a triangle doesn't exist.

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2 years ago