If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hin
1 answer:
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Answer:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Step-by-step explanation:
From the given graph, it is clear that the two lines meet at the point (3, 2).
In other words,
- at x =3, y = 2
Thus,
The point of intersection between two lines is:
(x, y) = (3, 2)
Here:
x = 3 is the value of the x-coordinate
y = 2 is the value of the y-coordinate
Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.
Subtract 1 from both sides
Simplify
subtract 2x from both sides
Simplify
Multiply both sides by 5
Simplify
Divide both sides by -5
Simplify
Therefore, the value of x = 3
Conclusion:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Answer:
y = 1/2x -2
Step-by-step explanation:
The 2-point form of the equation for a line is useful for answering questions like this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)
Filling in the given points, the equation becomes ...
y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5
y = 1/2(x +6) -5
y = 1/2x -2
