Travel distance taxation rates Find the distance between two cities using the information given in the table, which is from a coordinate system used for calculating tax rates for traveling. (5075, 2326) (5986, 3426) (8436, 4034) (8351, 527) (6687, 4595) (4550, 1219) (9468, 7629) (6336, 8896) Buffalo, NY Omaha, NE Chicago, IL Providence, RI Dallas, TX San Diego, CA Miami, FL Seattle, WA 12) Buffalo and Dallas 13) Chicago and Seattle 14) Miami and Omaha 15) Providence and San Diego

Elementary Geometry For College Students, 7e
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**Travel Distance Taxation Rates**

Find the distance between two cities using the information given in the table, which is from a coordinate system used for calculating tax rates for traveling.

| City | Coordinates | City | Coordinates |
|-----------|-------------|-----------|-------------|
| Buffalo, NY | (5075, 2326) | Omaha, NE | (6687, 4595) |
| Chicago, IL | (5986, 3426) | Providence, RI | (4550, 1219) |
| Dallas, TX | (8436, 4034) | San Diego, CA | (9468, 7629) |
| Miami, FL | (8351, 527) | Seattle, WA | (6336, 8896) |

Tasks:
12) Find the distance between Buffalo and Dallas.

13) Find the distance between Chicago and Seattle.

14) Find the distance between Miami and Omaha.

15) Find the distance between Providence and San Diego.

---

To calculate the distance between two cities given their coordinates \((x_1, y_1)\) and \((x_2, y_2)\), you can use the distance formula:

\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

You can apply this formula to each pair of cities listed in the tasks above to find the required distances.
Transcribed Image Text:**Travel Distance Taxation Rates** Find the distance between two cities using the information given in the table, which is from a coordinate system used for calculating tax rates for traveling. | City | Coordinates | City | Coordinates | |-----------|-------------|-----------|-------------| | Buffalo, NY | (5075, 2326) | Omaha, NE | (6687, 4595) | | Chicago, IL | (5986, 3426) | Providence, RI | (4550, 1219) | | Dallas, TX | (8436, 4034) | San Diego, CA | (9468, 7629) | | Miami, FL | (8351, 527) | Seattle, WA | (6336, 8896) | Tasks: 12) Find the distance between Buffalo and Dallas. 13) Find the distance between Chicago and Seattle. 14) Find the distance between Miami and Omaha. 15) Find the distance between Providence and San Diego. --- To calculate the distance between two cities given their coordinates \((x_1, y_1)\) and \((x_2, y_2)\), you can use the distance formula: \[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] You can apply this formula to each pair of cities listed in the tasks above to find the required distances.
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