A segment has an endpoint at (2, 1). The midpoint is at (5, 1). What are the coordinates of the other endpoint?

Mathematics

2 answers:

Free_Kalibri [48]2 years ago

7 0

(8,1) since the midpoint is 3 away from the endpoint, it must also be 3 away from the other endpoint

viva [34]2 years ago

5 0

Since point A and the midpoint are in the same y axis, we can assume that Point B has the same y value(1).

Point A = 2, Midpoint = 5. (Difference is 3, so 5 +3 = 8)

Point B = (8,1)

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Root 3 cosec140° - sec140°=4 prove that

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Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

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$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$