Answer:
-1/81
Step-by-step explanation:
-27^-4/3
cbrt(-27^-4)
cbrt(-1/531441)
-1/81
w represents width
4w represents length
d represents diagonal
w2 + (4w)2 = d2
w2 + 16w2 = d2
17w2 = d2
±w√17 = d
The diagonal is the width times √17.
Answer:
d=1
Step-by-step explanation:
![\frac{-3d}{d^2-2d-8} +\frac{3}{d-4} =\frac{-2}{d+2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3d%7D%7Bd%5E2-2d-8%7D%20%2B%5Cfrac%7B3%7D%7Bd-4%7D%20%3D%5Cfrac%7B-2%7D%7Bd%2B2%7D)
Lets factor the denominator d^2 -2d-8
d^2 - 2d - 8 = (d-4)(d+2)
![\frac{-3d}{(d-4)(d+2)} +\frac{3}{d-4} =\frac{-2}{d+2}](https://tex.z-dn.net/?f=%5Cfrac%7B-3d%7D%7B%28d-4%29%28d%2B2%29%7D%20%2B%5Cfrac%7B3%7D%7Bd-4%7D%20%3D%5Cfrac%7B-2%7D%7Bd%2B2%7D)
Now make the denominators same
LCD: (d-4)(d+2)
![\frac{-3d}{(d-4)(d+2)} +\frac{3(d+2)}{(d-4)(d+2)} =\frac{-2(d-4)}{(d+2)(d-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B-3d%7D%7B%28d-4%29%28d%2B2%29%7D%20%2B%5Cfrac%7B3%28d%2B2%29%7D%7B%28d-4%29%28d%2B2%29%7D%20%3D%5Cfrac%7B-2%28d-4%29%7D%7B%28d%2B2%29%28d-4%29%7D)
Denominators are same on both sides
So equate the numerators
-3d +3(d+2) = -2(d-4)
-3d +3d +6 = -2d +8
6 = -2d + 8
subtract 8 on both sides
-2 = -2d
So d=1
Answer:
12 R 147
Step-by-step explanation:
Answer:
10:30 A.M
Step-by-step explanation: