Question

Given line segment CP, where P is loacted at (3,5) and where the midpoint (O) is located at (7-1)

find the x-coordinate of the location C.

Answer 1

Using the properties of midpoints, the x-coordinate of location C in the line segment CP with midpoint O at (7,-1) and point P at (3,5) is found to be 11.

Step-by-step explanation:

To find the x-coordinate of location C, we need to use the properties of a midpoint in a line segment. The midpoint O of line segment CP is found precisely in the middle of points C and P. Since we have the coordinates of point P (3,5) and the midpoint O (7,-1), we can set up equations to solve for the x-coordinate of C.

The formula for the midpoint of a line segment in Cartesian coordinates is:

Midpoint O = ((xC + xP) / 2, (yC + yP) / 2)

We are given that the x-coordinate of the midpoint O is 7 and the x-coordinate of P is 3. By substituting into the formula, we get:

7 = (xC + 3) / 2

Now, we simply solve for xC:

14 = xC + 3

xC = 14 - 3

xC = 11

So, the x-coordinate of location C is 11.