A. This question asks us to solve the equation for P. This also means to isolate this variable.
S=Ph+2B
S-2B = Ph
(S-2B)/h = P
B. Using the information, we plug this into the perimeter equation, where h = 4, S=96 and B = 8
(96-2(8))/4 = P
80/4 = P
P = 20 meters²
Answer:
From the question we are told that
The equation is 
Generally the goal of this solution is to prove that the implicit solution of the differential equation above is 
First Step
Differentiate the solution with respect to x
![0 = \frac{2x}{ x^2 + 11} + [-cot * csc(y) ]\frac{dy}{dx}](https://tex.z-dn.net/?f=0%20%20%3D%20%5Cfrac%7B2x%7D%7B%20x%5E2%20%2B%2011%7D%20%20%2B%20%5B-cot%20%2A%20csc%28y%29%20%5D%5Cfrac%7Bdy%7D%7Bdx%7D)
=>
=> ![0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}](https://tex.z-dn.net/?f=0%20%20%3D%20%20%5Cfrac%7B2x%7D%7B%20x%5E2%20%2B%2011%7D%20%20%2B%20%5B-%5Cfrac%7Bcos%28y%29%7D%7B%20sin%5E2%28y%29%20%7D%5D%5Cfrac%7Bdy%7D%7Bdx%7D)
=>
multiply through by
,
, 
So
=>
Looking at the equation obtained we see that it is equivalent to the differential equation hence the implicit solution of
is 
Step-by-step explanation:
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.

Step-by-step explanation:
Work out the value of x.
<h3>#12</h3>
<u>The angles are supplementary as same side interior angles, sum to 180°:</u>
- x + x - 26 = 180
- 2x = 206
- x = 103
<h3>#13</h3>
<u>The angles are corresponding, hence congruent:</u>
- 3x - 5 = x + 55
- 3x - x = 55 + 5
- 2x = 60
- x = 30
<h3>#14</h3>
<u>The angles are supplementary as same side interior angles, sum to 180°:</u>
- 2x + 24 + x = 180
- 3x = 180 - 24
- 3x = 156
- x = 52
<h3>#15</h3>
<u>The angles are corresponding, hence congruent:</u>
- 4x - 12 = 3x + 6
- 4x - 3x = 6 + 12
- x = 18
<h3>#16</h3>
<u>Corresponding with the right angle:</u>
- 4x + 12 = 90
- 4x = 78
- x = 19.5
<h3>#17</h3>
<u>Vertical angle of the bottom angle is supplementary with the top angle:</u>
- 2x + 12 + 3x + 23 = 180
- 5x + 35 = 180
- 5x = 145
- x = 49