Answer:
Factor
5 out of 5
x^
2
+
10x
−
15
.
5
(
x^
2
+
2
x
−
3
)
5
(
x
−
1
)
(
x
+
3
)
answer^
Answer:
Step-by-step explanation:
Not always. If, however, the given function passes the "horizontal line test," then the given function has an inverse which is also a function. The horizontal line test consists of drawing a horizontal line through the given graph; if the line intersects the graph in only one place, it "passes," and the given function has an inverse function.
The rate at which the distance between the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.
Given length of ladder 39 m and the rate at which the wall is increasing is 101, the bottom of the ladder is 36 m from the wall.
Let bottom is x and the length of wall be y.
We have to find the rate at which the distance between the top of the ladder and the ground at that instant.
we have to find dy/dt.
We have to apply pythagoras theorem first.
---------------1
put the value of x=36 in the above equation
y=15 m
We have to find the derivative of equation 1 with respect to t.
2x*dx/dt+2y*dy/dt=0
Because it is given that bottom is increasing at 101 meters per minute so dx/dt=101
2x*101+2y*dy/dt=0
put the value of y=15
2x*101+2*15*dy/dt=0
2x*101+2*15*dy/dt=0
dy/dt=-3030/2*36
dy/dt=-42.08
Hence the rate at which the rate at which the top of the ladder and the ground at that instant is decreasing at 42 meters per minute.
Learn more about pythagoras theorem at brainly.com/question/343682
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Question is wrong so it includes ladder length be 39 meters and the rate of increasing of bottom of ladder from bottom of wall is 101 meters per minute and the bottomis 36 m from the wall.
Answer:
450 miles
Step-by-step explanation:
there is a 2 hr difference in betwen them. when you take 450 there is a 150 mile difference from 300 so when you divide 150 by 2 you get 75 so you do about 75 miles an hr so you can go 450 miles in 6 hr's.
Answer: 21
Step-by-step explanation:
7 multiplied by 3 is 21.