Answer:
k = 9.6
Step-by-step explanation:
When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.
Y varies inversely with x.
So as y increases, x reduces and as y reduces, x increases.
We would proceed by introducing a constant of variation, k
y = k/x
From the information given,
The constant of variation = k
The value if x = 6.4
The value of y = 1.5
To find the value of k
y = k/x
k = yx = 1.5 × 6.4
k = 9.6
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: 4
Step-by-step explanation: with rounding the 7 bumps the 3 to a 4
Answer: 777654
Step-by-step explanation:
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