Jake tied his carabao to a peg in the field. In the evening, dark clouds began to form and the weather turned bad. Consecutive lightning and thunder frightened the carabao causing it to run in circles straining its rope. In the morning when the weather calmed down, Jake sent his son to untie the carabao. His son was surprised to see a perfectly formed circle around the carabao’s peg. If the circle formed by the carabao’s footprints is given by the equation x2 + y2 - 6x + 8y - 119 = 0, how long is the carabao’s rope if the scale used is 1 meter is to 2 units? Please illustrate the circle and show the solution, thank you very much!

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Chapter9: Math Models And Geometry
Section9.3: Use Properties Of Angles, Triangles, And The Pythagorean Theorem
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Jake tied his carabao to a peg in the field. In the evening, dark clouds began to form and the weather turned bad. Consecutive lightning and thunder frightened the carabao causing it to run in circles straining its rope.

In the morning when the weather calmed down, Jake sent his son to untie the carabao. His son was surprised to see a perfectly formed circle around the carabao’s peg.

If the circle formed by the carabao’s footprints is given by the equation x2 + y2 - 6x + 8y - 119 = 0, how long is the carabao’s rope if the scale used is 1 meter is to 2 units?

Please illustrate the circle and show the solution, thank you very much!

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