Coordinates of Z if Y is the midpoint of XZ, X(10,9) and Y(-4,8)

Step-by-step explanation:

Given

Required

Determine the coordinates of Z

From the question, we understand that Y is the midpoint

And the midpoint is calculated as:

In this case:

So: This gives

Multiply through by 2

By comparison:

and

Solving for x2

Solving for y2

Hence, the coordinates of Z is:

5x+10 is the correct one

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