Answer:
Area of circle is 
Step-by-step explanation:
Formula for circumference of circle is given as,

Given that C = 15 n cm,
Substituting the value,

Solving above equation for r, divide both side by 

Simplifying,

Formula for area of circle is given as,

Substituting the value of r,

Squaring the parenthesis,

Cancelling out the common term,

Therefore, area of circle in terms of n is 
Answer:
Option b.
Step-by-step explanation:
Consider the below figure attached with this question.
A computer program selects blue,red,green as the background color each time the program is used.
Blue background = 12 times
Red background = 21 times
Green background = (45-12-21) times = 12 times
Blue background = Green background
Red background ≠ Green background
Green is just as likely as blue to appear, but not as likely as red.
Therefore, the correct option is b.
Step-by-step explanation:
What is the equation of the parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
?
To solve this you need to use the vertex form of the equation of a parabola which is
y
=
a
(
x
−
h
)
2
+
k
, where
(
h
,
k
)
are the coordinates of the vertex.
Explanation:
The first step is to define your variables
h
=
−
4
k
=
2
And we know one set of points on the graph, so
x
=
−
7
y
=
−
34
Next solve the formula for
a
y
=
a
(
x
−
h
)
2
+
k
−
34
=
a
(
−
7
+
4
)
2
+
2
−
34
=
a
(
−
3
)
2
+
2
−
34
=
9
a
+
2
−
36
=
9
a
−
4
=
a
To create a general formula for the parabola you would put in the values for
a
,
h
, and
k
and then simplify.
y
=
a
(
x
−
h
)
2
+
k
y
=
−
4
(
x
+
4
)
2
+
2
y
=
−
4
(
x
2
+
8
x
+
16
)
+
2
y
=
−
4
x
2
−
32
x
−
64
+
2
So the equation of a parabola that has a vertex at
(
−
4
,
2
)
and passes through point
(
−
7
,
−
34
)
is:
y
=
−
4
x
2
−
32
x
−
62
Answer:
Quartic polynomial with four terms