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Gala2k [10]
3 years ago
6

Distribute and simplify the radicals below (√12+6)(-√8-√2)

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

For this case we have the following expression:

(\sqrt {12} +6) (- \sqrt {8} - \sqrt {2})

We apply distributive property:

(\sqrt {12} * - \sqrt {8}) + (\sqrt {12} * - \sqrt {2}) + (6 * - \sqrt {8}) + (6 * - \sqrt {2} ) =\\- \sqrt {96} - \sqrt {24} -6 \sqrt {8} -6 \sqrt {2} =

We rewrite in equivalent form:

- \sqrt {4 ^ 2 * 6} - \sqrt {2 ^ 2 * 6} -6 \sqrt {2 ^ 2 * 2} -6 \sqrt {2} =\\-4 \sqrt {6} -2 \sqrt {6} -6 * 2 \sqrt {2} -6 \sqrt {2} =

-4 \sqrt {6} -2 \sqrt {6} -12 \sqrt {2} -6 \sqrt {2} =\\-6 \sqrt {6} -18 \sqrt {2}

Answer:

-6 \sqrt {6} -18 \sqrt {2}

uranmaximum [27]3 years ago
3 0

Answer:

Its A. on edge

Step-by-step explanation:

could that really be simplified anymore!!!!!

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If anyone knows this I will give them brainiest
statuscvo [17]

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

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96/8 = x

12 = x

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✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

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3 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig
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Answer:

D = 45+19*sin(\frac{\pi}{12}*t)

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

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Answer:

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