Horiz. asy.: experiment with letting x grow larger and larger (without bound). Eventually the given expression will approach some limiting value.
If we continue to increase x in <span>(6x+1)/(16x^2), the fraction will approach 0. Try it!
If we continue to increase x in </span><span>(6x+1)/(16x^2) + 1, the expression will approach 0 + 1, or 1.
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Which one did you mean?
Thus, the horiz. asy. would be y=0 or y=1.
Vertical asy.: Identify the x-value, if any, at which the denominator of this fraction = 0.
If you meant <span>(6x+1)/(16x^2) (without the +1), the fraction is undefined at x=0. Thus, the vert. asy. is the vertical line x=0.</span>
The driver has to drive 20 miles to come back to the starting point directly
Step-by-step explanation:
The driver has driven in the form of two legs on a right-angled triangle where the vertical side (perpendicular) is 12 miles and the horizontal side (base) is 16 miles.
Now as the driver has to return back to the starting point directly, it will form a right-angled triangle making the direct path a hypotenuse
So,
B = 16
P = 12
H = ?
we have to find the hypotenuse
As the triangle is a right angled triangle, we can use the Pythagoras theorem to find the length of hypotenuse So,

taking Square root on both sides

So
The driver has to drive 20 miles to come back to the starting point directly
Keywords: Pythagoras theorem, Right angled triangle
Learn more about Pythagoras theorem at:
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Answer:
Slope = 3
Step-by-step explanation:
the points (5,8) and (9,20)
A point is always written in the form (x, y)
(5,8) and (9,20) is in the form (x1, y1) and (x2, y2)
Slope =( y2 - y1) / (x2 - x1)
x1=5, x2=9,y1= 8, y2 = 20
Slope = (20 - 8) / (9 - 5)
Slope = 12/4
Slope = 3
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Option B
Histogram shows quantitative data. Histograms are used to show the distribution of numerical data. In histogram , the bars are continuous that is adjacent to each other so it is used to represent numerical data.
Bar graphs always shows qualitative data. Bar graph describes the type of categories being compared. There are gaps between the bars. So Bar graphs are used to display categorical data.
A histogram can only display numerical data , while a bar graph can display categorical data
I think 10.2 when I use calculater