Answer:
Longitudinal study
Step-by-step explanation:
Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.
Given:
The equation of a line is:

A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get

We know that the product of slopes of two perpendicular lines is always -1.



Slope of the required line is
and it passes through the point (-5,-3). So, the equation of the line is:



Using distributive property, we get




Therefore, the equation of the line is
. Hence, option A is correct.
(-4,4) (2,1)
gradient = (1-4)/(2--4) = -1/2
y = mx + c
y = -1/2x + c
Replace point (2,1) in the equation
1=-1/2(2) +c
c = 2
Equation : y = -1/2x + 2
y-2 = -1/2x
Answer is C.
Hope it helped!
<span>
<u><em>Answer:</em></u>It represent the tens of the number, therefore, it's unit value is 30
<u><em>Explanation:</em></u>The place value chart is added in the attached image.
<u>Checking this chart, we would find that:</u>
first digit from the right is the units of the number
second digit from the right is the tens of the number
third digit from the right is the hundreds of the number
Comparing this with the nuber given, we would find that the 3 is in the tens position. Therefore, it unit value is 30.
<u>Another way to answer this is by breaking the number given as follows:</u>
432 = 400 + 30 + 2
We can note that the unit value of the 3 is 30
Hope this helps :)</span>
Answer:
They should purchase the snack with the purple box. This is the answer for 23, i don't know what 24 is sorry.
Step-by-step explanation:
24÷3=8
8×5=40
so the first snacks would cost them $40.
then:
24÷4=6
6×6=36
so the second snacks would cost them $36