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neonofarm [45]
3 years ago
11

Describe the given set with a single equation or with a pair of equations. The plane through the point (7 comma 6 comma negative

3 )(7,6,−3) parallel to___________.a. the ​xy-planeb. the yz​-planec. the​ xz-plane
Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

(a) Along the xy-plane,

7x + 6y = 0

(b) Along the yz-plan,

2y - 3z = 0

(c) Along the xz-plane,

7x - 3z = 0

Step-by-step explanation:

To describe the given set.

Given the plane (7, 6, -3),

We have the equation as

7x + 6y - 3z = 0

(a) Along the xy-plane, z = 0, and we have

7x + 6y = 0

(b) Along the yz-plan, x = 0, and we have

6y - 3z = 0

Or

2y - 3z = 0

(c) Along the xz-plane, y = 0, and we have

7x - 3z = 0

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jeka57 [31]

The answer is:   "  y − 1  =  - 3(x + 2) " .
__________________________________________________________

Explanations: 
__________________________________________________________

<u>Note</u>:  The "point-slope form" of the equation of a line is:

                  →     " y − y₁ = m(x −x₁) " . 

We are given the slope,  m" , is:  " - 3 " ;  

We are given a point on the line [on the graph that is represented by this equation];  with the coordinates:  " (-2 , 1) " ;  

                          →   which is in the format: " (x₁ , y₁) " ;
                                      
                          →   As such:  " x₁  = -2 "  ;   " y₁  =  1 " ; 
_____________________________________________________
As aforementioned, the equation of a line in "point-slope form" ;  is:  
_________________________________________________________
                          →    " y − y₁ = m(x − x₁) " ;  

in which:
 
 →  "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ;  AND: 

 →   " m "  =   the slope of the line [represented by the equation] " ; 

We proceed by substituting our known values for "m" ;  "y₁" ; and "x₁" :
 
 →       " y − 1  =  - 3(x − (-2) ) "  ;   
_______________________________________________________                                                        
 →   Rewrite as:
_______________________________________________________
 →      "  y − 1  =  - 3(x + 2) "  ;  

 →    which is our answer;  since it is written in "point-slope form" .
_______________________________________________________
3 0
3 years ago
Which number line represents the solution set for the inequality 4(x + 3) 5 2 2X?
tatuchka [14]

Answer:

-2

Step-by-step explanation:

6 0
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Nikitich [7]

Answer:

1/4 or 0.25

Step-by-step explanation:

Isn't latex a devil?

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Formula

P(blue) = #Blue / # Total

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P(blue) = 3/12

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7 0
3 years ago
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