Hi,
To find K you will pick a value from the x and then the corresponding Y value. Then we will plug it into the equation that is given y=Kx
Here:
X=25 Y=160
160=k25
(Divide both sides by 25 to isolate K)
K=6.5
Then plug K value into equation
Y=6.5X
Then if you want to check if that is correct you can pick a different point on the table and plug that into the equation to see if you get the same value.
Check:
X=50
Y=6.5x50
Y=320
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
That means she need to buy 2 packs of 100.
Answer:
Step-by-step explanation:
<u>Given expression:</u>
<u>Distribute this to get:</u>
- a(b + c) = ab + ac
- 5(2 + 7) = 5(2) + 5(7)
Correct choice is D