Final answer:
To calculate the distance between points r(6,11) and t(3,-7), we apply the distance formula, yielding a result of approximately 18.2 units when rounded to the nearest tenth.
Step-by-step explanation:
To find the distance between two points on a coordinate plane, we can use the distance formula, which is derived from the Pythagorean theorem. For points r(6,11) and t(3,-7), the distance can be calculated as:
d = √[(x2 - x1)² + (y2 - y1)²]
Substituting the values:
d = √[(3 - 6)² + (-7 - 11)²]
d = √[(-3)² + (-18)²]
d = √[9 + 324]
d = √333
d ≈ 18.2
Therefore, the distance between point r(6,11) and point t(3,-7) is approximately 18.2 units, rounding to the nearest tenth.