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Zolol [24]
3 years ago
13

Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.

Mathematics
1 answer:
zlopas [31]3 years ago
4 0
One function you would be trying to minimize is 
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>

<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
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X + 5y = 28<br> - x - 2y = -13
bazaltina [42]

Answer:

x=3

y=5

Step-by-step explanation:

x+5y=28 (i)

-x-2y=-13. (ii)

add equation 2 from equation 1

x+5y=28

-x-2y=-13

3y=15

y=5

put the value of y in equation 1

x+5y=28

x+5*5=28

x+25=28

x=28-25

x=3

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3 years ago
Will mark the brainliest pls hurry!!!!!!
scZoUnD [109]

Answer:

3\sqrt{7}

Step-by-step explanation:

5 0
3 years ago
What is the 100th term if the sequence? 5 ,1 ,-3,-7
wel
<span>5 ,1 ,-3,-7  ?  what the dickens is going on?

notice, from 5 to 1, is really -4 units,

from 1 to -3, is -4 units as well, 1 -4 = -3  and so on.

so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".

and we also know the first term is 5, ok... then

</span>\bf n^{th}\textit{ term of an arithmetic sequence}\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;d=-4\\&#10;a_1=5\\&#10;n=100&#10;\end{cases}&#10;\\\\\\&#10;a_{100}=5+(100-1)(-4)\implies a_{100}=5+(99)(-4)&#10;\\\\\\&#10;a_{100}=5-396\implies a_{100}=-391<span>
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3 years ago
A group of 12 students participated in a dance competition. Their scores are in the image attached
julsineya [31]
Dot plot because a small number of scores are reported individually
7 0
3 years ago
I think some people deserve these points, I have gotten so much help in this subject. You are welcome.
Cerrena [4.2K]

Es genial que no mientas, pero acepto puntos que necesitan ayuda

5 0
2 years ago
Read 2 more answers
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