Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of te base is 36pi square cm (put 36 in the blank since th pi is alredy there)
The
<u>correct answer</u> is:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:

We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
Answer:
a) true
Step-by-step explanation:
The bottom-line numbers from synthetic division <em>alternate signs</em>, indicating that -2 is a lower bound. The given statement is true.
__
If the signs were all positive, it would indicate the proposed zero is an <em>upper bound</em>.
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A graph shows all real zeros are greater than -2.
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.

g(x) is passes through (3, 6).
.... (2)


Divide both sides by 4.

Substitute a=1 in equation (2).


The function g(x) is
.
Therefor, the correct option is 4.