Answer:
2/3
Step-by-step explanation:
log27(9)
Factor the number: 27=3³
= log3³(9)
Apply log rule: loga^b(x) - 1/b loga(x).
log3³(9) =1/3 log3³(9)
=1/3 log3³(9)
Factor the number: 9=3²
=1/3 log3³(3²)
Apply log rule: loga(a^b) =b
log3 (3²) =2
1/3×2
=2/3
The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.
Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.
Answer:
Expert Verified
Step-by-step explanation:
the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³
