Answer:
The x-value of the coordinates of point C is -12.
Step-by-step explanation:
Let be [tex]A = (8, 4)[/tex] and [tex]B = (-2, 7)[/tex], which is midpoint of segment AC. The location of point C is obtained from the midpoint formula, that is:
[tex]B = \frac{1}{2}\cdot A + \frac{1}{2}\cdot C[/tex]
[tex]2\cdot B = A + C[/tex]
[tex]C = 2\cdot B - A[/tex]
[tex]C = 2\cdot (-2,7)-(8,4)[/tex]
[tex]C = (-4,14)-(8,4)[/tex]
[tex]C = (-4-8,14-4)[/tex]
[tex]C = (-12,10)[/tex]
The x value is the first component of the ordered pair, that is: [tex]x = -12[/tex]. The x-value of the coordinates of point C is -12.
