Answer:
Step-by-step explanation:
Given:
The two points on the line are:
Now, for a line with two points on it, the slope of the line is given as:
For the points 
, slope is:
Now, for a line with slope 'm' and a point 
on it is given as:
Plug in all the values and determine the equation of the line. This gives,
Therefore, the equation of the line is:
Answer
Multipy all of them
Step-by-step explanation:
mulitiply all of them
Answer:
c
Step-by-step explanation:
1 + tan²theta = sec²theta
tan²theta = 3² - 1
tan²theta = 8
tan theta = sqrt(8)
Positive because Quadrant 1
sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)
= 2×sqrt(2)
9514 1404 393
Answer:
- 16,965 mm/min
- 90π ≈ 282.7 radians/min
Step-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
