Find an equation for the perpendicular bisector of the line segment whose endpoints (5, -3) and (-7, -7).
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Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the midpoint of the line segment

When two lines bisect each other, they intersect at the middle of each line, or the midpoint.

Plug in the endpoints (5, -3) and (-7, -7)

Therefore, the midpoint of the line segment is (-1,-5).

2) Determine the slope of the line segment

Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.

Slope = where the given points are and

Plug in the endpoints (5, -3) and (-7, -7)

Therefore, the slope of the line segment is . The negative reciprocal of is -3, so the slope of the perpendicular is -3. Plug this into :

3) Determine the y-intercept of the perpendicular bisector (b)

Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into and solve for b:

Subtract 3 from both sides

Therefore, the y-intercept of the line is -8. Plug this back into :

I hope this helps!

need points to ask question

step-by-step explanation:

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: