Answer:
not a function because the points' x-values repeats
Step-by-step explanation:
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
Answer:
we conclude that the function is one-to-one.
Step-by-step explanation:
A function will a one-to-one function if it
- passes the vertical line test to make sure it is indeed a function, and
- also a horizontal line test to make sure it is it one-to-one.
In other words,
The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.
The reason is that there must be only one x-value for each y-value.
Given the function

Have a look at the attached graph.
- The red portion represents the graph of the function
.
- The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is indeed a function.
- The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that
is a one-to-one function, as there is only one x-value for each y-value.
Therefore, we conclude that the function is one-to-one.
thanks for the fact, that was really helpful !!!
Answer:
We are observing the galactic center as it was 27,000 years ago
Step-by-step explanation:
The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*