Answer: -64
Step-by-step explanation:
flip the fraction, and then change the sign so it turns into multiplication.
-8 x 8
multiply them after that.
-64
Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
- 10 < 6n -2 ≤ 34 ⇒ add 2 to all sides
- 12 < 6n ≤ 36 ⇒ divide by 6 all sides
- 2 < n ≤ 6
- n= (2, 6]
or
Answer:
Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula
T
=
14
,
000
d
gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.
Answer:
a)
The vertices are
.
The foci are
.
The asymptotes are
.
b) The length of the transverse axis is 6.
c) See below.
Step-by-step explanation:
is the standard equation for a right-left facing hyperbola with center
.
a)
The vertices
are the two bending points of the hyperbola with center
and semi-axis a, b.
Therefore,
, is a right-left Hyperbola with
and vertices
.
For a right-left facing hyperbola, the Foci (focus points) are defined as
where
is the distance from the center
to a focus.
Therefore,
, is a right-left Hyperbola with
and foci 
The asymptotes are the lines the hyperbola tends to at
. For right-left hyperbola the asymptotes are: 
Therefore,
, is a right-left Hyperbola with
and asymptotes

b) The length of the transverse axis is given by
. Therefore, the lenght is 6.
c) See below.