Answer:
2.3 feet/ second
Step-by-step explanation:
To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.
This is given by rate of change = (change in position)/ change in time
From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.
Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds
Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.
Rounding off the answer to the nearest tenth, we have 2.3 ft/second
Y = (x + 3)² - 2
you get this by... uh, moving the vertex of the parabola three to the left (+3) and down two (-2)...
Answer:
The given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Step-by-step explanation:
We know that when a point P(x, y) is reflected across the y-axis, the x-coordinate changes/reverses its sign, but the y-coordinate stays the same.
Thus, the rule of reflection of a point P(x, y) across y-xis is:
P(x, y) → P'(-x, y)
For example, if a point A(1, 2) is reflected across the y-axis, the coordinates of the image A' of the point A(1, 2) will be:
A(1, 2) → A'(-1, y)
In our case, we are given the algebraic representation
(x,y) → (-x, y)
Here:
- The x-coordinate changes/reverses its sign
- The y-coordinate stays the same.
Thus, the given algebraic representation (x,y) → (-x, y) represents the reflection of a point (x, y) across the y-axis.
Answer:
2y + 6
Step-by-step explanation:
2(y - 1) + 8
2y - 2 + 8
= 2y + 6
