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Andreyy89
4 years ago
9

What is the following product? (√12+√6)(√6-√10)

Mathematics
2 answers:
olasank [31]4 years ago
6 0
<span>(√12+√6)(√6-√10)
= </span>√12 √6 - √12 √10 +√6 √6  - √6√10
= √72 - √120 + 6 - √60
= 6√2 - 2√30 + 6 - 2√15

Answer is A
6√2 - 2√30 + 6 - 2√15
koban [17]4 years ago
4 0
ANSWER

6 \sqrt{2} -2 \sqrt{30}  +6 -  2\sqrt{15}

EXPLANATION

We want to find the product

( \sqrt{12}  +  \sqrt{6} )( \sqrt{6} -  \sqrt{10}  )

We apply the distributive property to get,


\sqrt{12} ( \sqrt{6} -  \sqrt{10} ) +\sqrt{6} ( \sqrt{6} -  \sqrt{10} )



We expand to obtain,

\sqrt{12}  \times \sqrt{6} - \sqrt{12}   \times \sqrt{10}  + \sqrt{6}  \times  \sqrt{6}  -   \sqrt{6} \times  \sqrt{10}


We now simplify to get,


6 \sqrt{2} -2 \sqrt{30}  +6 -  2\sqrt{15}

The correct answer is option A.
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Answer:

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Step-by-step explanation:

Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output.  Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.

The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity

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sp2606 [1]

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

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I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

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Refer to the equation above:

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You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

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A set is a subset of itself.

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