A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?.
1 answer:
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Answer:
1.079 seconds
Step-by-step explanation:
You want to find t when H(t) = 15.
15 = -16t^2 +8t +25
10/16 = t^2 -1/2t . . . . . . subtract 24, divide by -16
10/16 + 1/16 = t^2 -1/2t +(1/4)^2 . . . . . add (1/4)^2 to complete the square
11/16 = (t -1/4)^2
t -1/4 = √(11/16) . . . . . take the positive square root
t = 1/4 +(√11)/4 = (1+√11)/4 . . . . use a common denominator
You would be 15 ft above the water at t = (1+√11)/4 ≈ 1.079 seconds.
Answer:
Point slope form :
Slope intercept form:
Standard form :
Step-by-step explanation:
From the given graph it is clear that the line is passing through the points, (-4, 0), (-2, 1), (0, 2), and (2, 3).
If a line passes through two points and
, then the equation of line is
Let as consider any two points of the line: (2, 3) and (0, 2).
The equation of line is
The point slope form of the line is .
Add 3 on both sides.
Therefore the slope intercept form of the line is .
Multiply both sides by 2.
Therefore, the standard form of the line is .