

a² + b² = c²
40² + b² = 41²
b² = 41² - 40²
b² = 1681 - 1600
b² = 81
b = 9
slope (m) of asymptote = 
y-intercept (b) = 0 since the center is at the origin
Answer: y =
and y = 
Most likely green would be chosen but since they are mixed together u will mostly get yellow
Answer:
d = 234.6 m
Step-by-step explanation:
You can consider a system of coordinates with its origin at the beginning of the walk of the student.
When she start to walk, she is at (0,0)m. After her first walk, her coordinates are calculated by using the information about the incline and the distance that she traveled:

she is at the coordinates (52.97 , 28.16)m.
Next, when she walks 180m to the east, her coordinates are:
(52.97+180 , 28.16)m = (232.97 , 28.16)m
To calculate the distance from the final point of the student to the starting point you use the Pythagoras generalization for the distance between two points:

The displacement of the student on her complete trajectory was of 234.6m
Answer:
a(11) = 4^10 = 1048576
Step-by-step explanation:
The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4. Each new term is 4 times the previous term. Thus,
a(n) = 1*4^(n - 1), and
a(11) = 4^10 = 1048576
Answer:
2x10 + 2x1 + 0/10 + 5/100 + 6/1000
Step-by-step explanation: