Answer:
A point that must lie on this line is the origin (0,0)
Step-by-step explanation:
we know that
The equation of the line in standard form is equal to

where
A is a positive integer
B and C are integer
In this problem
C=0
so

That means, that the line represent a proportional relationship between the variables x and y
Remember that in a proportional relationship the line passes through the origin
therefore
A point that must lie on this line is the origin (0,0)
Answer:
Part a
For the given study, the explanatory variable or independent variable is given as regularity or frequency of exercise. This variable is classify as categorical variable because variable is divided into two categories such as whether participant exercise 5 or more days a week or not.
Part b
For the given study, the response variable or dependent variable is given as frequency of colds. This variable is classified as quantitative variable because we measure the quantities or frequency of number of colds.
Part c
A confounding variable for this research study is given as incidence of upper respiratory tract infections that provides an alternative explanation for the lower frequency of colds among those who exercised 5 or more days per week, compared to those who were largely sedentary. This confounding variable is categorical in nature.
Answer:

Step-by-step explanation:
The question is incomplete, as the angles of rotation are not stated.
However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself
We have:


Divide 360 degrees by the number of sides in each angle, then find the multiples.
<u>Nonagon</u>

List the multiples of 40

<u>Hexagon</u>

List the multiples of 60

List out the common angles



This means that, only a rotation of
will lift both shapes onto themselves, when applied to both shapes.
The other angles will only work on one of the shapes, but not both at the same time.
3.06, 3 1/6, 3 3/4, 3.8.
Hope that helps.
Answer:
yes
Step-by-step explanation: