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sergiy2304 [10]
3 years ago
15

Choose all of the expressions that are equal to −9. |−9| −(−9) −|−9| −|9| the distance from zero to nine the opposite of nine

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

<h2>|−9|,  −|−9| and −|9| </h2>

Step-by-step explanation:

Before we choose all the expression that is equal to -9, <em>we must understand that the modulus of a value can return both its positive and negative value</em>. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Given radical a and radical b are in simplest radical form and radical a timed radical b equals c radical d and c radical d is i
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Answer:

See below.

Step-by-step explanation:

Since sqrt(a) and sqrt(b) are in simplest radical form, that means a and b have no perfect square factors. When sqrt(a) and sqrt(b) are multiplied giving c * sqrt(d), the fact that c came out of the root means that there was c^2 inside the product sqrt(ab). This means that a and b have at least one common factor.

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Example:

Let a = 6 and let b = 10.

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Now we multiply the radicals.

sqrt(a) * sqrt(b) = sqrt(6) * sqrt(10) = sqrt(60) = sqrt(4 * 15) = 2sqrt(15)

We have c = 2 and d = 15.

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Step-by-step explanation:

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