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ohaa [14]
3 years ago
6

Someone, please help me

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

See Attachment

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.
DENIUS [597]

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

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

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}}

5 0
4 years ago
Which amount is bigger 9/10 or .71
zhenek [66]
9/10 is bigger. 10/10 is a whole so in decimal 9/10 is .90
8 0
3 years ago
Read 2 more answers
The scores on a quiz are normally distributed. The mean of the quiz is 93 and the standard deviation is 4.2. By using the Empiri
xz_007 [3.2K]

Answer:

any score that lies between 88.8 and 97.2 is within one std. dev. of the mean

Step-by-step explanation:

One std. dev. above the mean would be 93 + 4.2, or 97.2.  One std. dev. below the mean would be 93 - 4.2, or 88.8.

So:  any score that lies between 88.8 and 97.2 is within one std. dev. of the mean.

6 0
3 years ago
What times 3 gives you 16
Margarita [4]
Technically nothing times 3 get you 16 but 3 times 5 equals 15 which is the closest answer but the answer would be 5.3
4 0
3 years ago
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You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
Korolek [52]
33 dollars. The tip is 3 dollars, and that to 30 dollar dinner bill and the whole bill will be $33.
4 0
3 years ago
Read 2 more answers
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