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Tju [1.3M]
3 years ago
15

3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp

oint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?​

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0

Answer:

(\frac{1}{2}, 2)

Step-by-step explanation:

Using the midpoint formula, M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}), we can find the coordinates that represents the position of the ship at noon.

Let L(-4, 7) = (x_1, y_1) (given on the coordinate plane)

B(5, -3) = (x_2, y_2) (given also)

Plug in the values into the formula and solve as follows:

M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})

M(\frac{1}{2}, \frac{7 - 3}{2})

M(\frac{1}{2}, \frac{4}{2})

M(\frac{1}{2}, 2)

Position of the ship at noon is best represented at (\frac{1}{2}, 2)

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