Answer:
y=3/2
Step-by-step explanation:
This line's slope is perpendicular to -2/3 and its y intercept is 0.
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 is A
The binomial can be factored using the difference of squares formula a2-b2 = (a+b) (a-b) where a=x and b=9
(X+9) x(x-9)
Answer:
Books remaining in Andrews book collection = 29 books
Explanation:
Andrews book collection contains 60 books.
He donates 15% of his books to the national library,
Number of books to library = 60 x 15/100 = 9
Sells 1/4 of his books to a book dealer,
Book sold to book dealer = 60 x 1/4 = 15
Sells 7 books on amazon.
Books remaining = 60 - (9 + 15 + 7)
= 60 - 31
= 29
Books remaining in Andrews book collection = 29 books
Given the rate of water flow is given by:
r(t)=85e^(-0.04t)
thus the amount of water flow in the first hour when t=1, will be:
r(1)=85e^(-0.04*1)
=81.667
thus the amount of water that flowed out will be:
85-81.667
=3.333 liters
