The answer is the third choice
-9,-3
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
2(4 + 2x) ≥ 5x + 5
First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4.

Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself.

Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.

Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3.

Fifth, we can switch sides now to get the result of this problem.

Answer:
Answer:

Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
First rewrite the equation of the given line in the form of y=mx +c.
4x+5y=25
5y= -4x +25

The gradient of the given line is 
The product of the gradient of perpendicular lines is -1.

Thus, m= 

Substitute a coordinate to find c.
When x= -4, y= -6,

Hence, the equation of the line is
