Answer: The standard form for the equation of an ellipse is:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
The center is:
(
h
,
k
)
The vertices on the major axis are:
(
h
−
a
,
k
)
and
(
h
+
a
,
k
)
The vertices on the minor axis are:
(
h
,
k
−
b
)
and
(
h
,
k
+
b
)
The foci are:
(
h
−
√
a
2
−
b
2
,
k
)
and
(
h
+
√
a
2
−
b
2
,
k
)
To put the given equation in standard form, change the + 2 to - -2 and write the denominators as squares:
(
x
−
3
)
2
4
2
+
(
y
−
−
2
)
2
3
2
=
1
The center is:
(
3
,
−
2
)
The vertices on the major axis are:
(
−
1
,
−
2
)
and
(
7
,
−
2
)
The vertices on the minor axis are:
(
3
,
−
5
)
and
(
3
,
1
)
Evaluate:
√
a
2
−
b
2
=
√
4
2
−
3
2
=
√
16
−
9
=
√
5
The foci are:
(
3
−
√
5
,
−
2
)
and
(
3
+
√
5
,
−
2
)
L + 3 = 2w.
48 + 6 = 54.
54 divided by 6 = 9.
The width is 9 and the length is 16. Hope it helps!
Answer:
16
Step-by-step explanation:
4x2=8
8x2=16
1. One eighth as a percent is 12.5 %
2. 0.063 as a percent is 6.3%
3. 34.71% live with their parents
4. 23.44% as a decimal is 0.2344
5. Each person should contribute $5
6. The proportion would be 47.57
7. 41 is 84 percent of 205
8. There are 16 students in the entire class.
9a) She took 75 shots.
9b) 24 shots, so thats 15%
10. That's 60 percent.
11. Thats $81.85
For most of these if you want the percentage just divide the number you are given into the total, then you will get a decimal, with that decimal multiply it by 100 and you will get the percent!
<em>Part A: </em>
Let c represent the total amount of chocolate there is in lbs.
c = 0.25c + 0.75c
<em>Part B: </em>
0.75c represents milk chocolate, and we know that there are 3 lbs of milk chocolate, so you can replace the 0.75c with 3 (representing 3 lbs):
c = 0.25c + 3
Divide all the terms by c:
1 = 0.25 + 3/c
Subtract 0.25 from both sides to combine the like terms:
0.75 = 3/c
Multiply all the terms by c to make the equation easier to work with:
0.75c = 3
Divide both sides by 0.75 to isolate the c and find the total amount of chocolate in pounds.
c = 4
Substitute c for 4 in the term that defines dark chocolate (which was 0.25c)
0.25(4) = 1 pound
Therefore, there was exactly 1 pound of dark chocolate present in the chocolate.
This makes sense, as 1 pound of dark chocolate + 3 pounds of milk chocolate = 4 pounds of chocolate in total, and 1 is 25% of 4 and 3 is 75% of 4.
