Answer:

Step-by-step explanation:
Proportional functions can be represented by
, where
is a constant of proportionality and
represents any point the line passes through.
In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:

Answer:
0.63 or 63/100
Step-by-step explanation:
Both sides are identical.
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
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I think the question has to do with the number of students who are attending the university but is neither an undergraduate nor living off-campus. To help us solve this problem, we use the Venn diagram as shown in the picture. The intersection of the 2 circles would be 3 students. The students in the 'students living off-campus' circle would be 9 - 2 = 6, while the undergraduate students would be 36-3 = 33. The total number of students inside all the circles and outside the circles should sum up to 60 students.
6 + 3 + 33 + x = 60
x = 60 - 6 - 3 - 3
x = 18 students
Therefore, there are 18 students who are neither an undergraduate nor living off-campus