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Kisachek [45]
2 years ago
13

Fill in the [?]: 11,562 um = [?]m Give your answer in standard form. Enter

Mathematics
1 answer:
Vitek1552 [10]2 years ago
6 0
Divide the number by 1,000,000 (1 million).

Micrometer is a millionth of a meter

11,562/1,000,000 = 0.011562
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x = -1

Step-by-step explanation:

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Step-by-step explanation:

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
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Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

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n = 1

t = 1

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Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

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3 years ago
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Step-by-step explanation:

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