Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estimates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations. \text{ km} km

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Answer:

5 kilometers

Step-by-step explanation:

Just use distance formula for each island to his boat

The distance between is the number of units between them, and the distance from Diego's ship to the closest island is 5.4 units

What is a point coordinate?

A point coordinate is the location of a point on the coordinate plane

From the question, the coordinate of point X is:

X = (-2, -4)

The closest island to point X is the island B, and the coordinate is:

B = (3, -6)

The distance is then calculated using:

XB =√[(x₁ - x₂)² + (y₁ - y₂)²]

So, we have:

XB =√[(-2 - 3)² + (-4 + 6)²]

Evaluate

XB = 5.4

Hence, the distance from Diego's ship to the closest island is 5.4 units

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https://brainly.com/question/7243416

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