Answer:
On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)
Step-by-step explanation:
We can interpret the coordinates of the triangle's vertices as...
R(-2, 1), S(1, 3), T(-1, 7)
Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...
R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)
Hello! There are three sentences in this problem that we need to complete with the appropriate values. Let's begin with the first sentence. SENTENCE #1 The initial number of visits to the website was ____. Before inserting numbers, I want to ensure you understand the word 'initial.' It refers to the very first value in something. Therefore, this sentence is asking for the first count of visits on the football team's website. It doesn't specify if it's the initial visits within the first day or hour, so we can assume it's the first week's count. To find the number of visits in week 0, we'll review the chart, which indicates 48,000 visits for that week. Thus, the completed sentence will say, The initial number of visits to the website was 48,000. SENTENCE #2 The percent decrease from week __ to week __ was ____%. To determine the percent decrease, we first calculate the difference between the two values, then divide that difference by the original number and multiply by 100. Hence, the new statement concludes with, The percent decrease from week 4 to week 5 was 50%. SENTENCE #3 The minimum number of visits on the website during the first 5 weeks since Jim began his assessment was ____. This is straightforward; we only need to check week 5 to find the minimum visit count. Therefore, the completed sentence will state, The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. Hope this helps! - Lindsey Frazier ♥
Solution:
Let x be the distance in miles from the house to the theater.
Total time taken for the trip 
Then average speed 
Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.
Thus, Average Speed 
mi/hr
Both average speeds must be equivalent. Hence, we can express this as:
Consequently, the distance from home is 13.125 miles.
