Your city is represented in a coordinate plane where each unit represents 1 kilometer. The library is at (1, −2), the post office is at (4, 1), and your house is at (−1, 1). You ride your bike from your house to the library, then the post office, and then back home. What is the minimum distance that you can ride your bike? Round your answer to the nearest tenth.

The answer to your question is 10.7 units

Step-by-step explanation:

To solve this problem, just calculate the distance from the House to the Library, then the distance from the Library to the Post office and finally to the Post office to the house.

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AlSO IF YOU WANT THE STEP BY STEP EQUATION IT IS--->

dHL = \sqrt{(-2 + 3)^{2} + (-2 - 2)^{2}}

dHL = \sqrt{(1)^{2}+ (-4)^{2}}

dHL = \sqrt{17} = 4.1

dLP = \sqrt{(-2 -2)^{2} + (-2-2)^{2}}

dLP = \sqrt{(-4)^{2} + (-4)^{2}}

dLP = \sqrt{32} = 5.7

dPH = \sqrt{(2 + 3)^{2}+ (2 - 2)^{2}}

dPH = \sqrt{(5)^{2}+ (0)^{2}}

dPH = \sqrt{25}

dPH = 5

Minimum distance = 4.1 + 5.7 + 5

Minimum distance = 10.7

-----> PICTURE

0.50 , 0.75

step-by-step explanation: