Y = -1/3x + 4 . 4 is the intercept -1/3x is the slope
Answer:
A
Step-by-step explanation:
its hard to explain but pretty much if you didn't know the ^x+1 is the x intercept except when its graphed its no marked at (1,0) its mark ate (-1,0) because it always takes the inverse
if you go over to the right 3 then your adding 3 to the x intercept or subtracting 3 from ^x+1 so it would be ^x-2
the y intercept part is easy all you have to do is subtract 2 from the y intercept so it would be +2
hope this helps :D
Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:
![l^2 = h^2 +d^2](https://tex.z-dn.net/?f=l%5E2%20%3D%20h%5E2%20%2Bd%5E2)
![l^2 = 6^2 + d^2](https://tex.z-dn.net/?f=l%5E2%20%3D%206%5E2%20%2B%20d%5E2)
![l^2 = 36 + d^2](https://tex.z-dn.net/?f=l%5E2%20%3D%2036%20%2B%20d%5E2)
We relate to: ![2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}](https://tex.z-dn.net/?f=2l%20%2A%20%5Cdfrac%7Bdl%7D%7Bdt%7D%20%3D%202d%2A%20%5Cdfrac%7Bdd%7D%7Bdt%7D)
From the question;
l = 34,
So to find
, we get;
![d = \sqrt{l^2 - 36}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7Bl%5E2%20-%2036%7D)
![d = \sqrt{34^2 - 36}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B34%5E2%20-%2036%7D)
![d = \sqrt{1156- 36}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B1156-%2036%7D)
![d = \sqrt{1120}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B1120%7D)
d = 33.46
So, we have:
![\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdd%7D%7Bdt%7D%3D%20%5Cdfrac%7Bl%7D%7Bd%7D%20%5Ctimes%20%5Cdfrac%7Bdl%7D%7Bdt%7D)
![\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5](https://tex.z-dn.net/?f=%5Cdfrac%7Bdd%7D%7Bdt%7D%3D%20%5Cdfrac%7B34%7D%7B33.46%7D%20%5Ctimes%20-%205)
![\dfrac{dd}{dt}= 1.016 \times - 5](https://tex.z-dn.net/?f=%5Cdfrac%7Bdd%7D%7Bdt%7D%3D%201.016%20%5Ctimes%20-%205)
![\dfrac{dd}{dt}=-5.08 \ ft/sec](https://tex.z-dn.net/?f=%5Cdfrac%7Bdd%7D%7Bdt%7D%3D-5.08%20%5C%20ft%2Fsec)
Answer:
X < 5
Step-by-step explanation:
2x - 6 < 1 × 4
2x < 4 + 6
x < 10 / 2
x < 5