I had to find the distance between to locations on a graph which I did using the distance formula I got sqrt281 from point a (-6,3) point b (10,9). The problem is each unit is approximately 1/8 of a mile. Now what? Round your answer to the nearest tenth of a mile.
To find the distance between two locations on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula states that the distance between two points in a two-dimensional Cartesian plane can be found by taking the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points.
In your case, you have the coordinates of point A (-6, 3) and point B (10, 9). Plug these values into the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
Substituting the values, you get:
d = √((10 - (-6))² + (9 - 3)²)
= √((10 + 6)² + (9 - 3)²)
= √(16² + 6²)
= √(256 + 36)
= √292
≈ 17.1 (rounded to one decimal place)
Now that you have the distance in units, which is approximately √292, given that each unit represents 1/8 of a mile, you can convert this to miles by multiplying by 1/8. So, the distance in miles would be:
d_miles = √292 * (1/8)
≈ 17.1 * (1/8)
≈ 2.14 (rounded to two decimal places)
Therefore, the distance between point A and point B on the graph is approximately 2.14 miles when rounded to the nearest tenth of a mile.