Question

2. On a map where each unit represents one kilometer, two marinas are located at P(6,4) and Q(8,10). If a boat travels in

Answer 1

Calculating the distance between two points, it is found that the boat travels 6.3 kilometers.

What is the distance between two points?

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$. The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For this problem, the points are P(6,4) and Q(8,10), hence the distance between them is given as follows:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$D = \sqrt{(8 - 6)^2+(10 - 4)^2}$

D = sqrt(40)

D = 6.3 units.

Each unit represents one kilometer, hence the boat travels 6.3 kilometers.

More can be learned about the distance between two points at brainly.com/question/18345417

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