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Dvinal [7]
3 years ago
11

Find all​ x-coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

Step-by-step explanation:

To obtain all coordinates of points​ (x,y) on the curve y = [(x - 5 )^6]/(x - 6 )^8, we deduce the value of X for which y is undefined as thus,

(x - 6 )^8 = 0

: (x - 6 ) = 0 : X=6

Therefore, all x-coordinates of points​ (x,y) on the curve are values of X < 6

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16x - 7 = 8x + 2 + 10x - 19    ===>  16x -7 = 18x - 17
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-7 + 17 = 2x - 17 + 17             ===> 10 = 2x ======> 5 = x
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Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg


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