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Ymorist [56]
3 years ago
6

Factor the binomial completely. If cannot be factored put a P for Prime. 3m^3+192

Mathematics
1 answer:
madam [21]3 years ago
3 0
3m³ + 192
3(m³) + 3(64)
3(m³ + 64)
3(m³ - 4m² + 4m² + 16m - 16m + 64)
3(m³ - 4m² + 16m + 4m² - 16m + 64)
3(m + 4)(m² - 4m + 16)
3(m + 4)(m² - 4(m) + 4(4))
3(m + 4)(m² - 4(m + 4))
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Answer:

96cm^3

Step-by-step explanation:

To determine how much additional wax was needed to make the taller candle, we determine the volume of each of the candles and find the difference in their volumes

<u>First Candle</u>

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  • Length=4 cm
  • Width= 6 cm

Volume=Height X Length X Width

=12 X 4 X 6

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<u>Second Candle</u>

The second candle is 4cm higher

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Volume=Height X Length X Width

=16 X 4 X 6

=384cm^3

Difference in Volume = 384-288 =96cm^3

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3 years ago
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Answer:

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3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support
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Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to b=2\sqrt{2}.

In a 45-45-90 triangle, the hypotenuse is equal to x\sqrt{2} this means in order to find missing side length a, we have to multiply (2\sqrt{2})(\sqrt{2}) this will give us 4

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