Answer:
(4, 0)
Step-by-step explanation:
The circumference of a circle is where <em>r</em> is the radius.
In this case, . Divide both sides of the equation by
to get
The center of the circle is on the <em>x</em>-axis, so the intercepts are 5 units to the left of the center and 5 units to the right of the center. The two intercepts are (-1-5, 0) and (-1+5, 0). The point that is on the positive <em>x</em>-axis is (4, 0).
See attached image.
Answer:
Giovanni was 0.5 miles from the finish line
Step-by-step explanation:
This is a problem of movement with constant velocity.
For this kind of problems, generally it is enough to remember the definition of average velocity v:
Where x is the change in position that took place in an interval t.
First, find the time that Jean, who cycled at 24 miles per hour, spent on the race:
Isolating t from the last equation,
, and replacing the data for Jean movement:
Second, find what was the distance that Giovanni had cycled when Jean crossed the line:
When Jean crossed the line he had cycled 120 miles, and Giovanni 119.5; so Giovanni was 0.5 miles from the finish line.