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sineoko [7]
3 years ago
9

Express 4/5 as a percent. Make sure to label your answer with %.

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0
I’m pretty sure it’s 80%
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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
Find the value of the following expression 100 - 2(x + 5) when x = 10 *
Ede4ka [16]

Answer:

70

Step-by-step explanation:

100 - 2(x + 5) = 100 - 2x - 10 = 90 -2x

90 - 2x

90 - 2×10

90 - 20 = 70

4 0
2 years ago
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A number cube is rolled and a letter is selected from the word BOOKCASE.
Deffense [45]

Answer: i need help on that too

Step-by-step explanation: i need helpppp

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2 years ago
Help with this math homework
fomenos
+6 ; 45,51
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What is the length of the line to the nearest sixteenth of an inch
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the length of the line is 2 1/16

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