Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64.
A) 2 and -2
B) 64 and -64
C) 5 and -5
D) 0.25 and -0.25
+23254 5(y -1)2 - 20(x - 1)2 =64.
5(y - 1)² - 20(x - 1)² = 64
If you place this into standard graphing form: (y - 1)²/(64/5) - (x - 1)²/(64/20) = 1
The distance from the center in the y-direction is √(64/5) = 8/√5.
The distance from the center in the x-direction is √(64/20) = 8√20.
The slope will be: ±[8/√5] / [8/√20] = ±√20/√5 = ±√4 = ±2
I skipped a lot of explanation; if you want more explanation, please ask.
+23254 5(y -1)2 - 20(x - 1)2 =64.
5(y - 1)² - 20(x - 1)² = 64
If you place this into standard graphing form: (y - 1)²/(64/5) - (x - 1)²/(64/20) = 1
The distance from the center in the y-direction is √(64/5) = 8/√5.
The distance from the center in the x-direction is √(64/20) = 8√20.
The slope will be: ±[8/√5] / [8/√20] = ±√20/√5 = ±√4 = ±2
I skipped a lot of explanation; if you want more explanation, please ask.
