Answer:
2x10^3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Center: (-5,-6)
Radius: 39
How to do it
Complete the square for
y
2
+
12
y
y
2
+
12
y
.
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.
Let pi be pipe 1 and pi2 be pipe 2
pi = 1 / 1
pi2 = 1 / 2
together = 1/1 + 1/2 ;
3/2 time ; 2/3 hour.
It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.
Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.
Learn more about Problem-solving here: brainly.com/question/13818690
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Divide total pain by number of books.
296/8 = 37
He paid $37 per book