The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?
2 answers:
Answer:
(13, -6)
Step-by-step explanation:
Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:
Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:
So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.
To calculate the new translation of the new point, add the translation onto the given coordinates:
So the new point is (13, -6).
Hope this helps!
You might be interested in
Answer:
Step-by-step explanation:
The record of the statistics and the summary statistics which are the missing files in the question are attached below.
From the given information:
The null hypothesis and the alternative hypothesis can be represented by :
There is no difference between the average time spend by men and women at gym each week
The average time spend by men is greater than the average time spend by women at the gym each week
From the summary statistics in the attached file below:
The p-value = 0.3253
Level of significance = 5% = 0.05
Therefore; it is obvious that the p-value is greater than the level of significance i.e (0.3253 > 0.05)
Hence; there is no enough evidence to reject the null hypothesis
CONCLUSION: We conclude that the mean number of minutes exercised per week is larger for men than women at the this gym.
