The Locations of Three Receiving Stations and the Distances to the Epicenter

question 428

Multiple Choice

The locations of three receiving stations and the distances to the epicenter of an earthquake are contained in the following three equations: $( x + 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4 , ( x + 7 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 4 , ( x - 1 ) ^ { 2 } + ( y + 13 ) ^ { 2 } = 100$ . Determine the location of the epicenter.

• A) at \(( - 4 , - 6 )\)
• B) at \(( - 4 , - 5 )\)
• C) at \(( - 6 , - 3 )\)
• D) at \(( - 5 , - 5 )\)

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Definitions:

Tube-Within-a-Tube

A body plan characteristic of many animals, where the inner tube represents the digestive tract and the outer tube the body wall, with a cavity in between.

Body Wall

The outermost layer of an organism's body, which provides structural support and protection; in many invertebrates, it consists of a cuticle or exoskeleton.

Gastrovascular Cavity

A digestive compartment with a single opening found in certain invertebrates, serving both digestive and circulatory functions.

Dietary Fiber

Indigestible parts of plant foods that help to maintain a healthy digestive system, regulate blood sugar, and lower cholesterol levels.