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Dahasolnce [82]
3 years ago
6

Please help me on this one

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:8600

Step-by-step explanation:

477

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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
3 years ago
13 / 1/4 jrjhdbfhfnfndnsnd
gtnhenbr [62]
The answer would be 52
7 0
3 years ago
Read 2 more answers
Please help me solve 3x + 4y =15 and 3x - y = 30 it is for Algebra I
Makovka662 [10]

Answer:

Step-by-step explanation:

Given the simultaneous equation

3x+4y=15. Equation 1

3x-y=30. Equation 2

Using elimination method

Sutract equation 2 from 1

Then, will have

3x-3x+4y--y=15-50. -×-=+

4y+y=-15

5y=-15

Divide Both sides by 5

y=-15/5

y=-3

From equation 2

3x-y=30

3x--3=30

3x+3=30

3x=30-3

3x=27

Divide both side by 3

x=27/3

x=9

Then, x=9 and y=-3

7 0
3 years ago
Read 2 more answers
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Zepler [3.9K]

Answer:

£320

Step-by-step explanation:

Using proportion,

If 110% =  £352

100% = ?

= \frac{100}{110} * 352

= £320

5 0
3 years ago
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Vlad [161]

Answer: Ooh, okay. Have fun then I guess.

7 0
3 years ago
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