Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
- A(-1, 4) is the original point
- A'(3, 3) is the image of A
We need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
The average number of goals per game Peter scores, rounded to one decimal place is 1.6
<u><em>Explanation</em></u>
In first two games Peter scored 2 goals each. So, total score in two games = (2×2)= 4
In one game he scored 0 goal and in next two games he scored 3 goals each, so the total is (3×2)= 6
In the last four games he scored 1 goal in each, so the total is (1×4)= 4
So, the total score in all
games 
Thus, the average number of goals 
So, the average number of goals per game Peter scores, rounded to one decimal place is 1.6
Answer:
y - 9 = 1/3 (x+8)
Step-by-step explanation:
point slope form is y - y1 = m (x - x1)
Answer: 10
Step-by-step explanation:
In a right angle triangle
Hypothenus ^2= opposite ^2+ adjacent ^2
According to a diagram below
Hypothenus =15
Opposite =?
Adjacent =11
Substitute for the values
15^2=11^2+opp^2
Opp^2=15^2-11^2
0pp^2= 225-121
Opp2=104
Opp= square root of 104
Opp= 10.2
Opp= ~10