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motikmotik
3 years ago
13

A square has an area of 39 square ft.What is the exact side length of the square?

Mathematics
1 answer:
White raven [17]3 years ago
8 0

Each side of the square is exactly √39 ft long.

The length is an irrational number, so it can't be
written exactly with only digits.

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Answer:

15

Step-by-step explanation:

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2 years ago
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa
Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) :x^2+y^2+4z^2=36

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

\nabla f(x,y,z)=\\\nabla f(x,y,z)=

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)

So, 2x=-4\lambda

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2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda

Substitute the value of x , y and z in the ellipsoid equation

(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2

With \lambda = 2

x=-2(2)=-4

y=2

z=2

With\lambda =- 2

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0
3 years ago
Please please please help me on this one math problem!! if you dont know it dont answer!
cricket20 [7]

Answer:

fx=

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mark him as brainlesit

Step-by-step explanation:

i think its right

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Thirty-two is the product of nine and a number decreased by four
qwelly [4]

Answer:

<h2>32 = 9n - 4</h2>

Step-by-step explanation:

<u>Thirty-two is </u>    =   <u>32 =</u>

<u>The product of nine times a number</u>   =   <u>9n</u>

<u>Decreased by four</u>   =  <u> - 4</u>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

<em>Good luck.</em>

<em>Leme know if wrong.</em>

<em>Lb.</em>

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3 years ago
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