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Ierofanga [76]
2 years ago
8

The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.

How many miles longer is Trail A than Trail B?

Mathematics
1 answer:
scoray [572]2 years ago
6 0

The length of the trails can be determined be using a formula related to

Pythagorean theorem, which makes use of the rise and run of a trail.

  • The number of miles longer Trail A is than Trail B is <u>4 miles</u>

Reasons:

The location of the park = (1, 9)

The stating point of Trail A = (-7, -6)

Starting point of Trail B = (6, -3)

The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;

Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1}  \right )^{2}+\left (y_{2}-y_{1}  \right )^{2}}}

Therefore;

Length \ of \ trail, \ A = \sqrt{\left (1-(-7)  \right )^{2}+\left (9-(-6)  \right )^{2}} = \mathbf{17}

Length \ of \ trail, \ B = \sqrt{\left (1-6  \right )^{2}+\left (9-(-3)  \right )^{2}} = \mathbf{13}

The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles

Therefore;

<u>Trail A is 4 miles longer than Trail B</u>

Learn more about finding the distance between two points on a graph here:

brainly.com/question/9917504

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