Answer:

Step-by-step explanation:
Let the first term be
, then the terms of the sequence are:
.
Since the fourth term is 108, we have


Hence the sequence becomes:
.
The explicit expression for a geometric expression is given by:

where a=4 and r=3
The required formula is:

You would divide them both my two to get 9/7
Answer:

Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

Simplify:

Square:

Add:

And that's our answer :)
Answer:
The first option.
Explanation:
Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;

The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect