Answer:
x = -0.5
Step-by-step explanation:
Here we have the sentence:
"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"
The first part:
"3 to the power 2x+3 is subtracted by 9..."
This can be written as:

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

Let's solve this for x.
First, we can add 9 in both sides:

We also know the relations:

and

We can write the left part as:

And the right side as:

Then the equation becomes:

Now let's move both terms with 9^x to the left side:




Now remember that:
Ln(a^b) = b*Ln(a)
Then if we apply the Ln( ) function to both sides, we get:



Answer:
A
Step-by-step explanation:
A population is a set of similar items or events which is of interest for some question or experiment.
rewrite -1 1/3 as a decimal: -1.5
-2.1 - x = -1.5
Subtract -2.1 From both sides:
X = -1.5 - -2.1 = -1.5 + 2.1
X = 0.6
Answer: B. 0.6
The line of reflection is b
You can see it much easier if take away all the clutter. Redraw the diagram and take way a d and especially c.
You should be left with only line b and the two triangles. You can see it much easier if you do that. Then just look at the parallel lines of the triangles. They are right across from each other.