The topic is volume & surface area, can someone help?
1 answer:
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Notice that our function 
is a parabola, and the vertex form of a parabola is:
where (h,k) are the coordinates of its vertex.
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula:
, and then we are going to evaluate our function at 
to find 
.
We know for our problem that
, and 
, so lets replace those values in our vertex formula to find :
Now, we are going to evaluate our function at -6 to find:
Now that we have our vertex, where and ; lets replace those values in our vertex form equation:
![f(x)=-5[x-(-6)]^{2} +(-1)](https://tex.z-dn.net/?f=f%28x%29%3D-5%5Bx-%28-6%29%5D%5E%7B2%7D%20%2B%28-1%29)
We can conclude that the vertex form of our function is, and its vertex is (-6,-1).
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula:
We know for our problem that
Now, we are going to evaluate our function at -6 to find
Now that we have our vertex, where
We can conclude that the vertex form of our function is
7 is 
miles; the question includes the words "in all", which shows that the two fractions should be added together. To add fractions with the same denominator, you must simply add the numerators and keep the denominator unchanged.
8 is
yards of ribbon; this one also requires you to add the fractions-- the numerators should be added, but the denominator stays the same because the two fractions share the same denominator.
8 is