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vivado [14]
3 years ago
11

Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

=\left(-\frac{19}{2},\:-2\right)

Step-by-step explanation:

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)

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Find the terminal point on the unit circle determined by pi radians.
svet-max [94.6K]

Answer:

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(x,y) = (\frac{1}{\sqrt{2} }) , (\frac{-1}{\sqrt{2} })

Step-by-step explanation:

According to the question, it is provided that

\theta = \frac{7\pi}{4}

Now

x = 1. cos (\frac{7\pi}{4})\\\\ = cos (2\pi - \frac{\pi}{4})\\\\= cos \frac{\pi}{4} \\\\= \frac{1}{\sqrt{2} }

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