Cot(x)sec(x) =
(cos(x)/sin(x))(1/cos(x))=
cos(x)/(sin(x)cos(x)) =
1/sin(x) =
csc(x)

Step-by-step explanation:
Let's pick two points on the line:
and
Let's calculate the slope of this line using these points:

With this value of the slope, we can write the general slope-intercept form of the equation as

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

Therefore, the slope-intercept form of the equation is

First, note that
Then use the formula for the sum of perfect cubes:

Therefore,

The quadratic trinomial
couldn't be factored anymore, so the expression
has two factors
and
Answer: correct choice is A.
Answer:
It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.
Instead of
, it should be
. That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.
Hope this helps!
Answer:
B
Step-by-step explanation: