Answer:
4π
Step-by-step explanation:
This is a sinusoidal function.
The period of the function is basically the length from one wave crest to the next crest. We can take any 2 subsequent crests.
Lets take our first crest to be at 3π
The next one will be at 7π, as we can see
So, the length from one crest to the next is the period, which is:
7π - 3π
= 4π
Third answer choice is right, 4π is the period.
Answer:
1:2
Step-by-step 1:2explanation:
it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2
For part A: two transformations will be used. First we will translate ABCD down 3 units: or the notation version for all (x,y) → (x, y - 3) so our new coordinates of ABCD will be:
A(-4,1)
B(-2,-1)
C(-2,-4)
D(-4,-2)
The second transformation will be to reflect across the 'y' axis. Or, the specific notation would be: for all (x,y) → (-x, y) New coordinates for A'B'C'D'
A'(4,1)
B'(2,-1)
C'(2,-4)
D'(4,-2)
Part B: The two figures are congruent.. We can see this a couple of different ways.
- first after performing the two transformations above, you will see that the original figure perfectly fits on top of the image.. exactly the same shape and size.
- alternatively, you can see that the original and image are both parallelograms with the same dimensions.
Answer:
<em>10 miles</em>
Step-by-step explanation:
Distance d = v t
v - speed/velocity
t - time
<em>d</em> = 
(8) + 
(12) = 6 + 4 = <em>10 miles</em>
