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4 years ago

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

1 answer:

4 0

One function you would be trying to minimize is
f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² 

Your values for x, y, z, and λ would be correct, but 
d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² 
d² = (8/3)² + (8/3)² + (8/3)² 
d² = 64/3 
d = 8/sqrt(3) = 8sqrt(3)/3

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What to the fourth power equals 0.0625?

d1i1m1o1n [39]

0.5 to the fourth power equals 0.0625.

6 0

3 years ago

for what values of A does the acute angle formed by the lines 3x+2y=10 and Ax-2y=3 have measure of 45 degree

Nonamiya [84]

Answer:

Step-by-step explanation:

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2 years ago

△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

8 0

4 years ago

Rick and Betty are going to Virginia. It is an 8 hour trip. Rick gets. 50 mile head start and drives at a rate of 55 mph. Betty

maw [93]

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Step-by-step explanation:

Given,

Head start of Rick = 50 miles

Speed of Rick = 55 mph

Let,

x be the number of hours

y be the total miles

Distance covered by Rick in x hours = Speed * Time + Head start

y = 55x + 50

Speed of Betty = 65 mph

Total miles = Speed*Time

y=65x

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

7 0

3 years ago

WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)

Gennadij [26K]

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

(x+2)(x-1)(x-2)
(x²-4)(x-1)
x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

6 0

3 years ago