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sukhopar [10]
3 years ago
7

HELP HELP HELP HELP HELP HELP

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
10 root 2
10^2 + 10^2 = 200
200 is 10 root 2
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The vertices of triangle ABC are A(1,1), B(0,2), and C(3,-2). Find the coordinates of the circumcenter. ...?
maria [59]
To find the circumcenter, solve any two bisector equations and find out the intersection points. The given are <span>A(1,1), B(0,2), and C(3,-2).

Midpoint of AB = (1/2, 3/2)  - You can get the midpoint by getting the average of x-coordinates and y-coordinates. 

Slope of AB = -1
Slope of perpendicular bisector = 1
</span>Equation of AB with slope 1 and the coordinates (1/2, 3/2) is
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Do the same for AC
</span>Midpoint of AC = (2, -1/2)
Slope of AC = -3/2
Slope of perpendicular bisector = 2/3
Equation of AC with slope 2/3 and the coordinates (2, -1/2) is
y - (-1/2) = (2/3)(x - 2) 
y = -11/6 + 2x/3

So <span>the perpendicular bisectors of AB and BC meet
</span>y = x+1
y = -11/6 + 2x/3

To solve for x,
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x= -17/2

Now get y by substituting 
y = (-17/2) + 1
y = -15/2

The circumcenter is (-17/2, -15/2)

Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help. 
8 0
3 years ago
Simplify the expression shown. (3m4n)2
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Answer:

9m⁸n²

Step-by-step explanation:

  (3m⁴n)²     Remove parentheses

= 3²m⁸n²     Square the 3

= 9m⁸n²


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You've chosen the correct answer ~
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2 years ago
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