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densk [106]
3 years ago
15

ASAP

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0

Answer:

C. (7, –3)

Step-by-step explanation:

5x+6y=17

-10x-9y=-43

Multiply the first equation by 2

2(5x+6y)=17*2

10x +12y = 34

Add this equation to the second equation to eliminate x

-10x-9y=-43

10x +12y = 34

---------------------

   3y = -9

Divide by 3

3y/3 = -9/3

y = -3

Now we need to find x

5x+6y = 17

5x +6(-3) = 17

5x-18 = 17

Add 18 to each side

5x-18+18 =17+18

5x =35

Divide by 5

5x/5 = 35/5

x =7

(7,-3)

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Answer:

<em>Center: (3,3)</em>

<em>Radius: </em>2\sqrt{5}<em />

Step-by-step explanation:

<u>Midpoint and Distance Between two Points</u>

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

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Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

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Center of circle C: (3,3)

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The radius of C is d/2:

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