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Anit [1.1K]
3 years ago
9

In the xy−plane, the center of a circle has coordinates (6,10) and the circle touches the y−axis at one point only. What is the

radius of the circle?
A. 6
B. 10
C. 12
D. 16
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0
It should be B. That would make it to where the circle touches the y axis at (6,0). I hope this helps.
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Answer:

The first step to solve the equation below is to first distribute the 2 to (x+7)

Step-by-step explanation:

2 (x+7) = -4x + 14

2x + 14 = -4x + 14

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What is 37 and 1/2 simplified?
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The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
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Explanation:
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Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
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So, given the information in this very question/problem:
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slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
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And we can write the equation of the line; in "slope-intercept form"; that is:
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  " y = mx + b " ;  as:
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   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
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   "Ax + By + C = 0 " ; 
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So; given: 
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 " y = (-1/3)x + (10/3) " ;
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  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
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            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

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→ This is not one of the "3 (THREE) answer choices given" ;

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to get:
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   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
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Note that is equation is in the "standard format" ;
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