You can use AA since the parallel lines make corresponding angles congruent.
Answer:
The volume of the U-shape will be<u> half </u>the volume of the original right cylinder.
Step-by-step explanation:
If we are given a right cylinder and it was bent into a U shaped then this U-shaped figure could also be considered as a half cylinder.
We could see from the figure attached how this shape looks like.
and now the volume of this half cylinder will be half the volume of the actual right cylinder.
For exponential functions
y=ab^x,
where
a is the scale vertical stretch factor,
b is the base, and
x the exponent (also independent variable)
It is a know fact that if the scale factor (1/2 or 2 in the answer choices) is positive, the graph is increasing if the base (3 or 1/3) is greater than 1.
This means that the base cannot be equal to 1/3. This eliminates choices 3 and 4.
Next, for a base greater than 1 (3>1), and the scale factor positive, it is a dilation (image gets bigger) if the scale factor is greater than 1. This eliminates the first choice where a=2.
This leaves us with the second choice where a=1/2, b=3, which is a shrink of the given exponential base function.
-4<em>n</em> ≥ 12 ==> <em>n</em> ≤ -3
<em>n</em> + 5 > 2 ==> <em>n</em> > -3
But <em>n</em> cannot be both less than/equal to -3 AND greater than -3, so there are no integers <em>n</em> that satisfy these inequalities.
Answer:
x is less than or equal to 0
Step-by-step explanation:
- you need to multiply both sides of the inequality by 5/2
- then you reduce the numbers with the greatest common factor 5
- then you reduce the numbers with the greatest common factor 2
- any expression multiplied by 0 equals 0
- so you get x is less than or equal to 0
^^^ hope this helps! :)
