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Gre4nikov [31]
3 years ago
11

What are the domain restrictions of the expression?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
7 0

h^2 - 12h + 20 can be factored to:

(h-10)(h-2)

These cannot be zero so, h cannot be 10 or 2.

Troyanec [42]3 years ago
4 0

Hello from MrBillDoesMath!

Answer:   h <> 10 and h <> 2      ( <> means not equal)

Discussion :


The domain restrictions are where the denominator  is 0. In this problem that occurs when

h^2 -12h + 20 = 0.

Factoring this equation gives

(h-10) (h-2) = 0

So   the values h = 10 and h =2 are NOT in the domain of this function,


Regards, MrB

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Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

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In this question:

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Thus:

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We find the square of each side, so:

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In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
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All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

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To find - Which statement about the angles of ΔOPQ must be true?

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In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

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The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

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