Answer:
Step-by-step explanation:
Initial point: (1, -2)
Final point: y = x
<u>Blue light translation:</u>
- 4 units right, 5 units down
- Number of translations = n
<u>Red light translation:</u>
- 1 unit left, 4 units up
- Number of translations = 15
<u>Final point is going to be:</u>
- x = 1 + 4n - 15*1 = 4n - 14
- y = -2 - 5n + 15*4 = -5n + 58
<u>Since the coordinates of final point are same, we have:</u>
- 4n - 14 = -5n + 58
- 4n + 5n = 58 + 14
- 9n = 72
- n = 72/9
- n = 8
A. theta = 210 (180 + 30) cos 30 = sqr(3)/2 sin 210 = -1/2
b. theta = 300 (360-60) tan 300 = - sqr(3)
c. sin = 1/2, cos = sqrt(3)/2, tan theta = 1/sqr(3), theta = 30
Answer:
D. Congruent
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the place value chart we can see that 2.7 means two and seven-tenths which can be written as the mixed number
.
Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of
We can do this in parts
When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges