To find the distance between point A and point B given their relative positions, we can use the distance formula. If point A is at coordinates (x1, y1) and point B is at (x2, y2), the distance \( d \) between the two points is given by the formula:
\[ d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]
In your case, we can assume point A is at the origin (0, 0) for simplicity. Thus:
- Point A (x1, y1): (0, 0)
- Point B (x2, y2): (9, 1)
Now we can substitute these coordinates into the distance formula:
\[ d = \sqrt{(9 - 0)^2 + (1 - 0)^2} \]
This simplifies to:
\[ d = \sqrt{9^2 + 1^2} = \sqrt{81 + 1} = \sqrt{82} \]
Therefore, the length between point A and point B is \( \sqrt{82} \) units, which is approximately 9.06 units when calculated.
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