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vova2212 [387]
2 years ago
5

12

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
7 0

Answer:

distributive proper

Step-by-step explanation:

mulitiply

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1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a
Sunny_sXe [5.5K]

Answer:

The equation x=4 represents in R^2 c) a line

The equation x=4 represents in R^3 a) a plane

The equation y+3x=2 represents in R^3 a) a plane

The equation z-4y=8 represents d) a plane

The pair of equations y=2,z=8 represents a) a line

Step-by-step explanation:

Let's start by studying each question :

1)

In R^2 , x=a with a ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

2) The equation y+3x=2 in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation y+3x=2 in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations y=2,z=8 set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0
2 years ago
What is the volume of a hemisphere with a diameter of 56.7 in, rounded to the
Vlad1618 [11]

Answer:

Expert Verified

Step-by-step explanation:

the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³

6 0
3 years ago
Help me Outttttttttttttt
Anna35 [415]
Off the top of my head i can tell that B) 3 and A) -1 are two possible roots, you can plug it into a calculator and situate put if there is more
5 0
3 years ago
Can someone explain to me what this means, I can't quite understand it.
yarga [219]
Answer: 214 You added up all of those and devided the mean( all 4)
4 0
2 years ago
Which inequality is represented by the graph? ​
joja [24]

Answer:

graph?

Step-by-step explanation:

7 0
3 years ago
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