Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to
. Make use of the power rule to find the following:
.
.
The question states that the graphs of
and
touch at
, such that
. Therefore:
.
On the other hand, since the graph of
and
coincide at
,
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for
and
:
.
Therefore,
whereas
.
Substitute these two values back into the expression for
and
:
.
.
Evaluate either expression at
to find the
-coordinate of the intersection. For example,
. Similarly,
.
Therefore, the intersection of these two graphs would be at
.
The sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. The reason is the tilt of Earth's axis of rotation with respect to the orbital plane.. l hope it helped :)
Answer:
d ≥8
Step-by-step explanation:
She is earning AT LEAST meaning that she gets at least more than 8 dollar per job
Answer:
6m + n + 2
Step-by-step explanation:
[7m + 3n - 11 - 2m] + [n + 5 - -m - 3n + 8]
[5m + 3n - 11] + [n + 5 + m - 3n + 8]
5m + 3n - 11 + (-2n + 13 + m)
5m + 3n - 11 - 2n + 13 + m
6m + n + 2
I am pretty sure the answer is D, but I'm not 100% sure