Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72
Change in y over change in x is key
(4-1)/(5-6)=3/-1
13. -3
(9-4)/(2-0)=5/2
14. 5/2
(1-(-2))/(-6-4)=3/-10
15. -3/10
Answer:
D (2,-2)
Step-by-step explanation:
- The coordinates are the pair (x,y) in the axis.
- We already have three vertexs: a: (x,y)=(2,3); b:(x,y)= (7,3) and c: (x,y)=(7,-2).
- If you see the picture attached, where all points available are in pink, you will see that the distance between the sides that are already defined equals 5.
- Because all squares have equals sides, then we must find the missing side that will be at a distance of 5 between the other two vertexs.
- That point is d (x,y)=(2,-2).
Answer:
answer is 2
Step-by-step explanation:
