Final answer:
The distance between points S(7,15) and T(13,19) is calculated using the distance formula, resulting in an approximate value of 7 units. This corresponds to option D.
Step-by-step explanation:
The question asks to find the distance between two points in a coordinate system. To find the distance between two points S(7,15) and T(13,19), you can use the distance formula which is derived from the Pythagorean theorem.
The distance formula is:
d = √[(x2 - x1)² + (y2 - y1)²]
Plugging in the coordinates of S and T:
d = √[(13 - 7)² + (19 - 15)²]
d = √[6² + 4²]
d = √[36 + 16]
d = √52
d = 2√13 (This is an exact distance but it needs to be approximated to match one of the given options)
Approximating √13 gives us a value slightly more than 3.5 and when we multiply this by 2, we get a value closer to 7 than to 6. Therefore, the approximate distance between the points is 7 units, which corresponds to option D.