In this case, we cannot simply take the average speed by
adding the two speeds and divide by two.
What we have to do is to calculate the time required
going to school and the return trip home.
We know that to calculate time, we use the formula:
t = d / v
where,
d = distance = 4.8 km = 4800 m
v = velocity
Let us say that the variables related to the trip going
to school is associated with 1, and the return trip home is 2. So,
t1 = 4800 m / (22.6 m / s)
t1 = 212.39 s
t2 = 4800 / (16.8 m / s)
t2 = 285.71 s
total time, t = t1 + t2
t = 498.1 s
Therefore the total average velocity is:
= (4800 m + 4800 m) / 498.1 s
= 19.27 m / s = 19.3 m / s
Answer:
19.3 m/s
Answer:
look do is gone eat
Step-by-step explanation:
ok
Answer:
3x-4/14=9/10
You change the subtraction to addition
3x+4/14=9/10
Then you change the fractions to decimals
Step-by-step explanation:
Answer: third choice (4 - 9).
Explanation:
1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5
2) Since the point P has y-coordinate - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).
Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,
Therefore, the y-coordinate of the image is - 9.
3) The second reflection, Rx = 1, means a reflection across the line x = 1.
4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).
Then, the reflection of P will be 3 units to the right of the line x = 1.
That is 1 + 3 = 4.
Therefore, the x-coordinate of the image is 4.
5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.
Answer:
vertex = (-4, 5)
Step-by-step explanation:
In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k (or highest value for f(x) = -a|x - h| + k). The lowest/highest value is the vertex (turning point).
Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.
Set the equation to 5 and then solve for x:
⇒ 5 = 1/2 |-X – 4| + 5
⇒ 1/2 |-X – 4| = 0
⇒ |-X – 4| = 0
Therefore, (-X - 4) = 0 and -(-X - 4) = 0
⇒ X = -4 (for both)
So the vertex is (-4, 5)
<u>Translations</u>
Absolute value parent function: f(x) = | -x |
Horizontal translation left 4 units: f(x) = |-x - 4|
Horizontal stretch of sf 1/2: f(x) = 1/2 |-x - 4|
Vertical translation up 5 units: f(x) = 1/2 |-x - 4| + 5
