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Inessa [10]
3 years ago
5

What’s the correct answer for this?

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

(x + 5)² + (y - 7)² = 13

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 7) and r = \sqrt{13} , thus

(x - (- 5))² + (y - 7)² = (\sqrt{13} )² , that is

(x + 5)² + (y - 7)² = 13 ← equation of circle

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Find the values of x and y for which the lines are parallel.
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The answer:  " x = 68, y = 72 " .
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Explanation:
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46 + (x - 3) + (y - 3) = 180 .

46 + 1(x - 3) + 1(y-3) = 180 .

46 + 1x - 3 + 1y - 3 = 180 .

46 - 3 - 3 + 1x + 1y = 180 .

40 + x + y = 180 ;

Subtract "40" from EACH SIDE of the equation:
______________________________________
 40 + x + y - 40 = 180 - 40 ;

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x + y = 140 ;
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Now:
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65 = (x - 3) ;


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Add "3" to EACH SIDE of the equation;

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______________________________
Now:

Since:  "x + y = 140" ;

Let us plug in our known value, "68" ;  for "x" ;

to solve for "y" ;
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   x + y = 140 ;
 
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↔ y + 68 = 140 ;

Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
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   y + 68 - 68 = 140 = 68 ;

                  y = 72 .
______________________________________________
So,  solve for "x" and "y".

x = 68, y = 72 .
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What must be true about the sides and angles of congruent triangles?
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Step-by-step explanation:


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Step-by-step explanation:

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