I find it easier if you draw out people(not perfectly just make a circle or something) and then circle every 2 people to count for the men. There are 16 men in the gym.

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3 years ago

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Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

timofeeve [1]

First find the equation of y.

$y=mx+n=\frac{\Delta y}{\Delta x}x+n$

Find the slope m.

$m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_{\perp}$ is same like the normal line except its slope m becomes:

$k=-\frac{1}{m}=-1$ .

The equation of a perpendicular bisector is thus:

$y_{\perp}=-x+12$ .

Hope this helps.

6 0

3 years ago

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