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Chapter 11: Q. 28 (page 616)

Find the midpoint of the segment with the given endpoints.

鈭�16,鈥�鈭�5,鈥�5,鈥�5

Short Answer

Expert verified

The midpoint of the segment with the endpoints鈭�16,鈭�5,5,5is鈭�112,0.

Step by step solution

01

Step 1. Given Information.

The given endpoints are鈭�16,鈭�5,5,5

02

Step 2. Formula used.

The midpoint of the segment with the endpointsx1,y1,x2,y2 isx1+x22,y1+y22.

03

Step 3. Calculation.

To find midpoint of the segment, substitutex1,y1=鈭�16,鈭�5andx2,y2=5,5into the midpoint formula then simplify it.

x1+x22,y1+y22=鈭�16+52,鈭�5+52x1+x22,y1+y22=鈭�112,0

04

Step 4. Conclusion.

The midpoint of the segment with the endpoints鈭�16,鈭�5,5,5 is鈭�112,0.

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