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
)
The measure of the angle R is 
Explanation:
It is given that the lengths of the triangle are PQ = 8 and QR = 3
To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.

where opp = 8 and adj = 3
Thus, substituting these values in the formula, we get,

Multiplying both sides by
, we get,

Dividing, we get,

Rounding off to the nearest tenth, we have,

Thus, the measure of the angle R is 
Answer:
b
Step-by-step explanation:
it makes the most senses the lower the discount the higher the chance
200+100+200+100=$600.
Hope this helps and please give brainliest!
1. 5/y=2/3x +3
2. y= 7/1-4
3. y=2/5x8
4. y=-3/4 +1 I could be wrong but I think this is right