YOU JUST BROUGHT BACK A OLD MEMORY!!
Answer:
2p + 99q
Step-by-step explanation:
To simplify the expression, combine the like terms. Like terms are terms which have the same variable. Assume 00q is 100q.
6p - 3q + z - 3p + 2q - z - p + 100q
6p - 3p - p = 2p
- 3q + 2q + 100q = 99q
z - z = 0
So the expression is 2p + 99q
Step-by-step explanation:
Here we have
f
(
x
)
=
2
x
2
(
x
2
−
9
)
, which can be factorized as
f
(
x
)
=
2
x
2
(
x
+
3
)
(
x
−
3
)
As there is no common factor between numerator and denominator, there s no hole.
Further vertical asymptotes are
x
=
−
3
and
x
=
3
and as
f
(
x
)
=
2
x
2
(
x
2
−
9
)
=
2
1
−
9
x
2
, as
x
→
∞
,
f
(
x
)
→
2
, hence horizontal asymptote is
y
=
2
.
Observe that
f
(
−
x
)
=
f
(
x
)
and hence graph is symmetric w.r.t.
y
-axis. Further as
x
=
0
,
f
(
x
)
=
0
. Using calculas we can find that at
(
0
,
0
)
there is a local maxima as
d
y
d
x
=
−
36
x
(
x
2
−
9
)
2
and at
x
=
0
it is
0
. Further while for
x
<
−
3
and
x
>
3
, function is positive, for
−
3
<
x
<
3
function is negative.
Now take a few values of
x
say
{
−
10
,
−
7
,
−
4
,
−
2
,
−
1
,
1
,
2
,
4
,
7
,
10
}
and corresponding values of
f
(
x
)
are
{
2
18
91
,
2
9
20
,
4
4
7
,
−
1
3
5
,
−
1
4
,
−
1
4
,
−
1
3
5
,
4
4
7
,
2
9
20
,
2
18
91
}
Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be 
, and let point B be 
.
(-6, 3) → .
(26, -13) → .
Let 5 be n, and 3 be m.
5:3 → n:m
.
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
→
→
→
→
→
→
→
.
Thus the coordinates of B are:
Answer:
Surface area = 85.84 ft²
Step-by-step explanation:
Considering the fact that large rectangle area = 6 x 12 = 72 ft²
Also, the two triangles area => 2(0.5 * base * height) = 2(4 x 3.46 x 0.5) = 13.84 ft²
Hence, the total surface area is
72 + 13.84 = 85.84 ft²
Therefore, the surface area of the fabric is 85.84ft²
