So hmmm check the picture below
so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both
in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3
now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"
because the parabola opens downwards, "p" is negative, and thus, -2
now, let's plug all those fellows in then
Answer:
<h2>C(V(r)) = 3.2πr3</h2>
Step-by-step explanation:
This problem is a composition of function defined by C(V(r)), now we have the functions 
and 
, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,
Therefore, the right answer is the last choice.
The expression for the angle m∠RST from the given bisctor is; 6x - 18
<h3>How to find the expression for a given angle?</h3>
From the given image in the attachment we are given that;
SQ bisects ∠TSR
m ∠RSQ = 3x - 9
Now, since SQ is a bisector of ∠TSR, we can say that
m∠RST = 2 * m∠RSQ
Thus angle RST is expressed as;
m∠RST = 2(3x - 9)
m∠RST = 6x - 18
Read more about Angle expression at; brainly.com/question/16953095
#SPJ1
The answer is 12,662 books in the math section.
Since the science section represents 1/3 of the total books, divide 75,972 by 3.
75,972 ÷ 3 = 25,324 books in the science section.
Now, subtract 25,324 science books from the total number of books.
75,972 - 25,324 = 50,648 remaining books.
Divide the remaining books by 4 and then multiply by 3.
50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.
Add the science books and business books together.
25,324 + 37,986 = 63,310 science and business books.
Subtract 63,310 from 75,972.
75,972 - 63,310 = 12,662 books in the math section.
Hope I helped!
Long piece = 5+ 2•short piece
Long piece +short piece=17
Let short piece be x and long piece y
Rewrite the relations given
y= 5+2• x
y+x=17 so y=17- x
5+2•x=17-x
2x+x=17-5
3x=12
X=12/3=4 (short piece) feet
y=17-4=13 (long piece) feet
