Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
Answer 1)
Step-by-step explanation:
Starting with 1 + 3x = -x + 4, add x to both sides. Result: 1 + 4x = 4
Next, subtract 1 from both sides, obtaining 4x = 3.
Finally, divide both sides by 4: x = 3/4
This matches Answer 1).
Answer:
The volume of the prism B will double
Step-by-step explanation:
Answer:
A. a higher risk often means higher return.
Step-by-step explanation:
Risk and return, risk is the chance you have of not gaining anything out of an investment or loosing money, this high risk investments often have higher rewards or returns in order to be more appealing to investors and in that way people will invest in those enterprises or products.
Answer:
A
Step-by-step explanation:
In these kind of functions: <em>adding outside of the absolute value moves the graph up</em>, <em>adding inside moves it to the left</em>.
So, since it is moved 4 to the right, there will be a <em>- 4 inside</em>.
Also, since it moves 6 up, there is a <em>+ 6 outside</em>.
The only equation to do so is A.
