Hello from MrBillDoesMath!
Answer:
9
Discussion:
Solution 1:
Distance between two points (x1, y1), (x2,y2) is given by the formula
sqrt( (x1-x2)^2 + (y1-y2)^2). In our case this becomes
sqrt( (0-0)^2 + (12 -3)^2 ) =
sqrt( 9^2) =
9.
Solution 2:
Note points D and E both have x = 0 so segment DE is a vertical segment. The length is simply the difference of the y coordinates: 12- 3 = 9 as before.
Thank you,
MrB
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To find increasing and decreasing intervals we take derivative
Now we set the derivative =0 and solve for x
sinx + cosx =0
divide whole equation by cos x

tanx +1 =0
tanx = 1
and
Now we pick a number between 0 to 
Lets pick 
Plug it into the derivative
= 4.810 is positive
So the graph of f(x) is increasing on the interval [0,
)
Now we pick a number between
to 2pi
Lets pick 
Plug it into the derivative
= 116 is positive
So the graph of f(x) is increasing on the interval 
Increasing interval is 
Decreasing interval is 
(b)
The graph of f(x) increases and reaches a local maximum at 
The graph of f(x) decreases and reaches a local minimum at 
(c)
f(0) = 0



Here global maximum at 
Here global minimum at 
The angle between the paths of John and Jake who were once facing each other comes to 58°.
What is the definition of angle between paths?
The angle between paths simply refers to sum of the angles of both paths should the line of the paths be extended indefinitely to the point where they both meet.
The problem above is envision as indicated in the attached image. Recall that they were both facing each other - thus creating an imaginary straight line.
Soon as they turned in different directions and walked in that direction, they created two different lines. Hence the total angle between them becomes the sum of the angles with which they turned. Which is
30 + 28 = 58°
Learn more about Angle Between Paths at:
brainly.com/question/12189063
#SPJ1
Answer:
10
Step-by-step explanation:
First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180
90+27+6x+3=180
Add up left side
120+6x=180
Subtract 120 from both sides
6x=60
Divide both sides by 6
x=10