Answer: The equation of an ellipse:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
;
a
>
b
Has vertices at
(
h
±
a
,
k
)
Has foci at
(
h
±
√
a
2
−
b
2
,
k
)
Use the vertices to write 3 equations:
k
=
4
[1]
h
−
a
=
−
6
[2]
h
+
a
=
10
[3]
Use equations [2] and [3] to solve for h and a:
2
h
=
4
h
=
2
a
=
8
Use the focus to write another equation:
8
=
h
+
√
a
2
−
b
2
Substitute values for h and a:
8
=
2
+
√
8
2
−
b
2
6
=
√
64
−
b
2
36
=
64
−
b
2
b
2
=
64
−
36
b
2
=
28
b
=
√
28
Substitute the values into the standard form:
(
x
−
2
)
2
8
2
+
(
y
−
4
)
2
(
√
28
)
2
=
1
Answer:
3:2
6:4
12:8
24:16
48:32
idk how many u need but thats some!
First you need to find the slope and in order to do that you need to use the following equation:
y-y
——
x-x
The y with the greatest value goes first and then the lowest. Same thing with x.
Choose two coordinates from the table
Ex: (4,4) & (2,3)
4-3=1
——-
4-2=2
The slop is 1/2 or 0.5
There is a y intercept which is 2. You get 2 when you divide 1 by 2
So the equation would be
y=1/2x+2 or y=0.5x+2
Hope this helped
Answer:
140
Step-by-step explanation:
you have to first multiply them
-140
since it has to be an aditive inverse you write the opposite
140
F(x)=(x+3)^2 +78 hope this helps!!
