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Olegator
1 month ago
15

Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe

rs
(−8, 19)
(1, −8)
(0, 19)
(−5, 10)
(2, −7)

Mathematics
2 answers:
AnnZ [12.3K]1 month ago
7 0
The points that fit are (−8, 19), (1, −8), and <span>(−5, 10).</span>
Leona [12.6K]1 month ago
4 0
Initially, determine the perpendicular bisector equation for the specified line. 
This requires both the slope of the perpendicular line and a point.
Step 1: Calculate the slope of the given line segment using the endpoints (10, 15) and (-20, 5), resulting in m=(15-5)/(10-(-20))=1/3
thus, the slope of the perpendicular line is its negative reciprocal, m=-3/1=-3 
Step 2: Identify the midpoint as: x=(-20+10)/2=-5, y=(15+5)/2=10      (-5, 10)
therefore, the equation for the perpendicular line in point-slope form is (y-10)=-3(x+5)

subsequently, substitute the given coordinates into the equation to discern which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, confirming that (-8, 19) is on the perpendicular line. 

Examine the other pairs, and you’ll find that (1,-8) and (-5, 10) also satisfy the equation. The point (-5,10) is the midpoint. 

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Let's tackle your equation step-by-step.

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Step 3: Divide both sides by -1.

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