Figure 2 is the translation of the provided figure.
Step-by-step explanation:
The translation is a very common term in applied geometry. It refers to the shifting of the figure without subjecting it to any kind of rotation, reflection or scaling.
The original image that is to be translated, is called pre-image after the process of translation. While the translated image is called image.
In the given figure, Only figure 2 seems to be in the same orientation as of the original image. Hence, figure 2 is the image after a translation
Answer:
<h2>The year is 2010.</h2>
Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is
.
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t =
≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
This is something to memorize
y = r*sin(theta)
so if y = 2, then
2 = r*sin(theta)
Divide both sides by sin(theta) to get
r = 2/sin(theta)
r = 2csc(theta)
A function is positive if it lies above the x axis.
This function is positive before x = -4, i.e. over the interval 
It is negative elsewhere, i.e. over the interval 
So, the only correct option is the second one.