Answer:
C
Step-by-step explanation:
the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
going from the left point to the right point x changes by +3 units, and y changes by -1 unit.
so, the slope (and factor of x in the equation) is -1/3.
and the constant term in the equation is the y (axis) intercept of the line.
this is the y value, when x = 0 (intercepting the y axis).
and we see in the graph, when x = 0, the line goes through y = 2.
so, the equation has to be
y = -1/3 × x + 2
therefore, C is the right answer.
The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.
Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.
Let's look at your option:
, so the cotangent is defined here
, so the cotangent is not defined here
, so the cotangent is defined here
, so the cotangent is defined here
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where, 
is first term, d is common difference.
Substitute 
in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Divide both sides by 20:</u>
<u>Simplify:</u>
