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kakasveta [241]
2 years ago
11

Combine these radicals. square root 27 and square root 3

Mathematics
1 answer:
sasho [114]2 years ago
5 0

square root 27 is 3square root 3 so the answer is 2 square root three

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Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals
trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation  

f(x,y,z) = 0 where

f(x,y,z)=-2x^2+2y^2-3z^2+3

The gradient of this function is the vector

(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form  

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3

and the equation of the desired plane is

4x+4y+3z = -3

3 0
3 years ago
As a surveyor, you measure an angle of elevation as 35.25 degrees. You are required to record all measurements in fraction form.
astraxan [27]

Answer:

35 1/4

Step-by-step explanation:

8 0
3 years ago
Which of the following answers is the value of x in this equivalent fraction?
Ira Lisetskai [31]
I just had the question and the correct answer is 36.
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3 years ago
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be
Jlenok [28]

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

7 0
2 years ago
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Doss [256]
It would be b. In all, he has $100 to spend since $50+$25+$25=$100. We have x people coming and he has to spend $2.50, $1.50, and $3.00 per person, respectively. The phrase "per person" indicates we must multiply, so we have to multiply each value by "x." To find out how much money he has left, we must subtract. All of this put together is 100-(2.50x+1.50x+3.00x). Add the like terms and you get 7x. Your final expression would be 100-7x, which is answer choice b.
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3 years ago
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