When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.
Since -3/2 is less than 0, it will go to the left of 0.
Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.
Remember to use sub points of 1.
Best of Luck!
Is it a yardstick? It has 2 ft of the edges and one ft in the middle.
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
Remember that moving on the x axis is 1 and on the y axis 2