Geometry hw! Pls help!
1 answer:
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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.
Answer:
and
Step-by-step explanation:
The standard equation of a circle is where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
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- We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.
- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
.
- Finally put the whole thing together.
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I hope this helps!