Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:[tex]\frac{5+x^{2} }{2} =4[/tex] [tex]\frac{-6+y^{2} }{2} = 3[/tex]
You multiply 4 by 2 which gives you 8 and write the equation[tex]5+x^{2} =8[/tex] then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation[tex]-6+y^{2}=6[/tex] then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates[tex]\frac{5+3}{2}=\frac{8}{2} =4 \\[/tex] [tex]\frac{-6+12}{2} =\frac{6}{2} =3[/tex] and you get the answer for the midpoint which is (4,3)
