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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), and C(3, −2).
Question
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), and C(3, −2). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
The minimum total distance the employee may have driven before getting stuck in traffic is ____ miles.
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Mathematics
3 years
2021-08-19T18:12:01+00:00
2021-08-19T18:12:01+00:00 1 Answers
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Answers ( )
Answer:
9.7 miles
Step-by-step explanation:
The shortest distance between 2 points is a straight line
The distance from point A to point B is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 – -3)^2 + ( 4-1) ^2)
d = sqrt( ( 6)^2 + ( 3) ^2)
d = sqrt(36+9)
d = sqrt(45)
d =6.7 to the nearest tenth
The distance from point B to point C is
d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)
d = sqrt( ( 3 – 3)^2 + ( -2-4) ^2)
d = sqrt( ( 0)^2 + ( -6) ^2)
d = sqrt(36)
d = 6
But They only made it half way so 1/2 (6) =3
Add the distances together
6.7+3 = 9.7 is the minimum distance