Answer:
The two ordered pairs you can use is (4, 3) and (8, 4). You can plot these and draw a straight line through these.
Step-by-step explanation:
In order to find the graph of the follow, first solve for y.
-8 + x = 4y - 16
-4y - 8 + x = -16
-4y -8 = -x - 16
-4y = -x - 8
y = 1/4x + 2
Now that we have this, we can find two points by choosing any two x's and solving for the y. For this case, we'll use 4 and 8.
y = 1/4x + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3
So the first ordered pair is (4,3)
y = 1/4x + 2
y = 1/4(8) + 2
y = 2 + 2
y = 4
So the second would be (8. 4)
The end of its travel is when S(t)=0 or when it has hit the ground...
-16t^2+25=0 divide equation by -1
16t^2-25, this is a difference of squares which always factors:
(a^2+b^2)=(a+b)(a-b), in this case:
(4t+5)(4t-5)=0, since t>0
t=5/4=1.25, and since it started falling at t=0, its time moving in the air is:
1.25-0=1.25 seconds.
X= 15/9 — combine like terms to get 9x/3=15. Isolate the variable by multiplying both sides by 3. 9x=15 — divide both sides by 9 to isolate variable.
Https://photomath.net/s/P56lb
The link will show you how to solve the problem but if you still don't get it you download the app Photomath and it will give you more detailed steps.
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
The family curves are: 
Differentiate the equation with the respect of x.
The negative reciprocal is:
Integration of the above equation:
Hence, the orthogonal trajectory of the family of the curves 
