-15.7
Step-by-step explanation:
2
-15
-12
-10
-12
-18
-20
-25
-------
-110
7 divide by -110=-15.7
<u>ANSWER</u>
The common ratio is -3.
<u>EXPLANATION</u>
In general, the common ratio of a Geometric Sequence is given by:

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.
The given sequence is -2,6,-18,54
Using the first two terms the common ratio is

We could also used the second and third terms to get

and so on and so forth.
Therefore the common ratio is -3.
Answer:
10/22
10 blue marbles/22 total marbles
(simplified = 5/11)
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:

Plug in vertex to find value of 'a'

Now find the focus given that


Answer: the microphone should be placed 7.5 inches from vertex.
Answer:
the ASA similarity theorem
Step-by-step explanation:
As seen in the picture, the similarities are 2 sides and the angle between them
So the similarity is ASA, second answer choice