Going clockwise the zeros are at 0π,1π,2π etc
going counterclockwise the zeros are 0π,-1π,-2π etc.
correct answer is B
Answer:
Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.
Step-by-step explanation:
1) I want to talk about reflections first.
- Reflections across the x-axis -->
, a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. - Reflections across the y-axis -->
, b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its
... the reflection across the y-axis is different (that equation is:
)
2) Rigid transformations
- Horizontal transformations (to the left or right):
, factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. - Vertical transformations (up and down):
... k is just the units up... if k is negative then we move it down.
Example (check image for visual)
We transform
to
, you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.
--------------------------------------------------------------------------------------------------------------
Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.
Answer:
Ashley is paid 9.75h+15 and William is paid 10.25h+12
Step-by-step explanation:
Answer:
5 /448
Step-by-step explanation:
Radius in drawing = 1 9/16 in
The actual length of rope = 11 2/3 feets
Converting actual length to inches :
1 feet = 12 inches
11 2/3 feets = (11 2/3) * 12 = 140 inches
To obtain the scale used, we divide the Radius in the drawing by the actual length :
1 9/16 ÷ 140
25 /16 ÷ 140
25 /16 * 1 /140
= 25 / 2240
= 5 /448
Hence, scale is 5 /448 times the actual length of drawing
Hence :
The scale used is :
1 feet = 7.4666 inches
Answer:
Sampling Error
Step-by-step explanation:
When the researcher randomly selected 200 people, he is creating an sample or subset from the population, that would be all the people in the earth. The error obtained was product of the fact that the analysis he made was estimated from the sample and not the whole population. There is no other mentioned factor that could cause an error, so the answer would be a sampling Error.