Find the next four terms in the sequence. 1,-4, 16, -64, ...
1 answer:
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Answer:
The center of circle is
Step-by-step explanation:
We need to find the center of the circle of the equation
Since, the general equation of circle is
Where (h,k) is center of circle and r is radius.
Re-write the circle equation is as,
Compare with
so,
Hence, the center of circle is
This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
Plugging this into the given formula:
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
Then by the zero product property (or the no zero divisors rule), we have:
(this is the x value where the ball is kicked from)
So the ball travels 51 yards in total.
Plugging this into the given formula:
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
Then by the zero product property (or the no zero divisors rule), we have:
So the ball travels 51 yards in total.