Answer:
2.44 miles
Step-by-step explanation:
Give the following :
Average miles to school = 12 miles per hour
Average Miles from school = 15 miles per hour
Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667
Recall:
Speed = distance / Time
Time = distance / speed
Let distance = d
For the scenario described :
d/12 + d/15 = 0.3667
(5d + 4d) / 60 = 0.3667
5d + 4d = 22
9d = 22
d = 22/9
d = 2.44 miles
Answer: The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval! hope this helps
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
The "x-intercept" occurs when y=0, because it is at this point that the equation touches the x axis. So if you plug in y=0 into the equation you can solve for the x coordinate.
4x-2(0)-8=0
4x-8=0
4x=8
x=2
So the x-intercept is the point (2,0)
