Ben also participated. He fell down midway, and had to walk part of the distance. Still, he finished the distance! It took him e
1 answer:
Answer:
0.56 m/s
Step-by-step explanation:
The average speed of a body tells how fast is the body moving; it is calculated as:
where
d is the distance covered
t is the time elapsed
In this problem, we don't know the distance covered by Ben. Therefore, we will assume that it is 1 km:
d = 1 km = 1000 m
The time elapsed to cover this distance is:
Therefore, Ben's average speed is:
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if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation
now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
