Answer:

Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:

The 6th term of the arithmetic sequence is 62. We can write the equation:

Subtract the first equation from the second one to get:


The first term is




The 38th term of the sequence is given by:



Answer:
C
Steps
The A equation is impossible (even if it looks like solvable with quadratic formula)
Have a good day
Solve for any of the variables; for instance,
:


Then

Let
; then the intersection is given by the vector-valued function

or

Answer:
Graph C
Step-by-step explanation:
y = .7x
For a direct variation, we know that the line has to go through the origin (0,0)
This eliminates graphs b and d. We also know that the slope is .7
When x = 1, y = .7. This eliminates graph a, because when x=1 y =1. This leaves us graph c
Answer:
Step-by-step explanation:
The bottom leg is divided into equal segments, one of them is b.
It means the bottom leg is b + b = 2b.
<u>According to Pythagorean:</u>
<u>Solve for b:</u>
- 1681 = 4b² + 81
- 4b² = 1681 - 81
- 4b² = 1600
- b² = 400
- b = √400
- b = 20 cm