So first, you get the absolute value to one side:
Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
Your answers are
8 and -8, or +-8.
For 5 and 6 : 5 would be 144 when you put 3 in the position of the t . And 6 would be 1,024 when you put 8 where the t is .
Given:
The given equation of line is
To find:
The equation of line that passes through (-5,4) and is parallel to the given line.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of given line is .
Slope of parallel lines are same. So, slope of parallel line is .
The required line passes through (-5,4) with slope . So, the equation of line is
Adding 4 on both sides, we get
Therefore, the correct option is a.
The expression that lists all numbers in prime numbers would be A. All numbers here are prime numbers, and is in the simplified form, the remaining choices are not in their simplified forms and can be broken down into smaller numbers that multiply to give their value.
Answer:
Step-by-step explanation:
we know that
In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant, called the common ratio (r)
In this problem we have
Remember that
-----> -----> equation A
Substitute the values of a_5 and a_2 and solve for r
Find the value of a_1 in equation A
therefore
The explicit rule for the nth term is
substitute