Option C
The distance of a spin of one full rotation is 31.4 feet
<em><u>Solution:</u></em>
Given that,
A circular merry-go-round has a radius of 5 feet
Radius = 5 feet
We have to find the distance of spin for one full rotation
Distance covered in 1 full of rotation is equal to circumference of circle
<em><u>The circumference of circle is given as:</u></em>

Where "r" is the radius

Thus the distance of a spin of one full rotation is 31.4 feet
The value of 'k' in the quadratic Equation
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is 
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,

Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
#SPJ4
Answer:
Slope = 5
Step-by-step explanation:
Standard slope intercept form: y = mx + b
where m = slope of the function
so m = 5
Hope this helps!
Answer:

And on this case the samllest possible value would be 1
Step-by-step explanation:
For this case we have the following expression:

And we can rewrite this expression like this:

For this case is important to remember the following property from algebra:


On this case we can see that 
So then 
So then we can simplify all the expression and we got this:

And on this case the samllest possible value would be 1