The slope is 9/5! hope this helps!!
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
<u><em>The complete question is</em></u>
Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B
The picture of the question in the attached figure
Part 1) Write the ratio equivalent to: Sin B
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the values
Part 2) Write the ratio equivalent to: Csc A
we know that
In the right triangle ABC
-----> by SOH (opposite side divided by the hypotenuse)
substitute the values
therefore
Part 3) Write the ratio equivalent to: Cot A
we know that
In the right triangle ABC
-----> by TOA (opposite side divided by the adjacent side)
substitute the values
therefore
The law of cosines :
A^2 = B^2 + C^2 - 2BC cos A
2^2 = 3^2 + 4^2 - 2 . 3. 4 cos theta
= 21
hope this helps
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
B) 4x-5-3x=x+5 has no solution.
Step-by-step explanation:
A) 4x+4=4-4x
4x-(-4x)+4=4
4x+4x+4=4
8x+4=4
8x=4-4
8x=0
x=0/8
x=0
------------------
B) 4x-5-3x=x+5
4x-3x-5=x+5
x-5=x+5
x-x-5=5
-5=5
no solution.
------------------------
C) 4x+15-9x=5x+15
4x-9x+15=5x+15
-5x+15=5x+15
-5x-5x+15=15
-10x+15=15
-10x=15-15
-10x=0
x=0/-10
x=0
------------------------
D) 4x+2-x=4+3x-2
3x+2=3x+4-2
3x+2=3x+2
infinitely many solutions.
