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.
That would be A...they have to have a constant ratio
Answer:
The length of rectangular is increasing at a rate 0.5714 meters per hour.
Step-by-step explanation:
We are given the following in the question:
Initial dimensions of rectangular box:
Length,l = 10 m
Width,w = 7 m
We have to find the rate of increase of length.
Area of rectangle =
Differentiating we get,
Putting values, we get,
Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.
Answer:
0.579 is the probability that a household has a VCR given they have a TV.
Step-by-step explanation:
We are given the following in the question:
Probability of all households have a TV = 88% = 0.88
Probability of all households have a TV and VCR = 51% = 0.51
We have to find the probability that a household has a VCR given they have a TV.
The conditional probability is given by:
0.579 is the probability that a household has a VCR given they have a TV.
Here we are dealing with combinations without repetitions.
Let's write the form of a name.
For names starting with W:
W _ _ _
For names starting with K:
K _ _ _
We are allowed to use only lettrs from F to X. That's total of 19 letters. We are not allowed to repeat letters so for each letter we can choose from one less available letters.
Let's start with names begining with W. We will write how man possible letters we can choose from.
W 18 17 <span>16
</span>At second possition we can choose from 18 letters because we must not repeat letters and W is placed in front of X in alphabet.
At third position we can choose from 17 letters becasue we already chose two of 19 possible letters.
At fourth position we can choose from 16 letters becasue we already chose three of 19 possible letters.
To calculate total number of possible names we need to multiply these numbers:
1 * 18 * 17 * 16 = 4896
Same calculation can be done for names starting with K. We would get same number as solution.
Total number of possible names starting with W or K is 4896 + 4896 = 9792
