Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

Find the common difference by subtracting the first term from the second:

Distribute:

Combine like terms. Hence:

The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

To find the 13th term, let <em>n</em> = 13. Hence:

Simplify:

The 13th term is 81<em>x</em> + 59.
Answer:
The answer to your question is: 24/25
Step-by-step explanation:
Remember that sinФ = opposite leg / hypotenuse
Opposite leg = 24/25
Hypotenuse = 1
then sin Ф = (24/25) / 1
sin Ф = 24/25
D because a binomial means the expression has two: x2 and -4
Answer:
-1/4
Step-by-step explanation:
Answer:
The square root of 8 is expressed as √8 in the radical form and as (8)½ or (8)0.5 in the exponent form. The square root of 8 rounded up to 8 decimal places is 2.82842712. It is the positive solution of the equation x2 = 8. We can express the square root of 8 in its lowest radical form as 2 √2.
Square Root of 8: 2.8284271247461903
Square Root of 8 in exponential form: (8)½ or (8)0.5
Square Root of 8 in radical form: √8 or 2 √2