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
)
Answer:
x= 42.92527821
Step-by-step explanation:
2.156x-4 = 104
x would be
42.92527821
_______________________________________________________
(1:5+0.5x)
and nothing farther can be done with this one
Answer:
Step-by-step explanation:
-2x + 2y = -4 (times 3) -6x + 6y = -12
3x + 3y = -18 (times 2) 6x + 6y = -36
.
-6x + 6y = -12
<u>6x + 6y = -36 </u>+
12y = -48
y = -4
.
Substitute the value of y to the one of equations
-2x + 2(-4) = -4
-2x - 8 = -4
-2x = -4 + 8
-2x = 4
x = -2
For this case the first thing you should do is take into account the following conversion:
Therefore, by applying the conversion we have:
Rewriting we have:
Answer:
The rate in m^3/m^2 is:
Answer:
2(7) = 14
Step-by-step explanation:
When there is a number in the brackets, we want to input that into our function and get the output. In other words, we simply substitute 7 for x
2(7) = 14
