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GarryVolchara [31]
4 years ago
6

What are the coordinates of the circumcenter of a triangle with vertices A(0,1) B(2,1) and C(2,5)?

Mathematics
1 answer:
yawa3891 [41]4 years ago
4 0
THis is a cool question.
1)  Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2)  Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
 3)  Then do the same thing for the other two points that form a chord on the circle.
4)  Then set the two equations equal to each other and solve.  The point where they meet is the circumcenter. 

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You're using inverse operation to solve this equation. Now you just have to think about it. What number plus 20 would equal the same number squared? The answer would be 5, since
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The rectangle shown is translated 6 units to the left. Which ordered pair is NOT a vertex of the image? (A 2, -2) (B -10, 5) (C
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Use the figure above as a reference. Identify the vertices of the rectangle before translation, the vertices are (-4,5), (1, 5), (-4,-2), and (1, -2). After translation of 6 units to the left, only the x-coordinates of the vertices are affected. Since the translation is to the left, subtract 6 from the x values of the vertices. Therefore, the vertices after translation are: (-10, 5), (-5, 5); (-10, -2) and (-5, -2). 

The ordered pair not in the new set of vertices is (2, -2).
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