If P <span>is the midpoint of DE then
DE = 2(DP)
10x - 12 = 2(3x + 2)
10x - 12 = 6x + 4
10x - 6x = 4 + 12
4x = 16
x = 16/4
x = 4
DP = 3x + 2 = 3 * 4 + 2 = 12 + 2 = 14 units</span>
Answer:
The values of 
so that 
have vertical asymptotes are 
, 
, 
, 
, 
.
Step-by-step explanation:
The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is . Then, the vertical asymptotes associated with function cosecant are located in the values of of the form:
, 
In other words, the values of so that have vertical asymptotes are , , , , .
Answer: 
or 
Step-by-step explanation:
Given the following expression:
You can follow these steps in order to simplify it:
1. You need to apply Distributive property:
2. And now you must add the like terms. Then:
Therefore you get the following answer:
or
The top question should be greater than or equal to. not just greater than. so the circle should be closed. and as for the direction, it should be a closed circle on 13.50 pointing towards the right
