Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:
sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x
These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with
cot²x - csc²x = -1
This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
J
I am 90% sure, if this is edge then this helps me to, I’m really just filling in the character requirement but it’s j, I think
It would be 12:72. Add all the numbers together to get the second number, and the first number would be 12, or the number of strawberries.
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
Answer:
The equation of line shown in the graph is 
Step-by-step explanation:
We need to find equation of the line shown in graph.
The equation of line will be in slope-intercept form 
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding y-intercept
Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.
So, when x =0, y=-1
So, y-intercept is -1
Finding Slope
Now, for finding slope, consider 2 points on graph
(0,-1) and (-2,0)
Slope can be found using formula: 
We have 
Putting values and finding slope:
So, slope is 
Equation of line
Now, equation of line having slope and y-intercept b = -1 is
So, equation of line shown in the graph is
