The Hyperbola
1 Locate a Hyperbola's Vertices and Foci
- $$81 x ^ { 2 } - 100 y ^ { 2 } = 8100$$

question 34

Multiple Choice

The Hyperbola
1 Locate a Hyperbola's Vertices and Foci
- $$81 x ^ { 2 } - 100 y ^ { 2 } = 8100$$

• A) vertices: \(( - 10,0 ) , ( 10,0 )\)
• foci: \(( - \sqrt { 181 } , 0 ) , ( \sqrt { 181 } , 0 )\)
• B) vertices: \(( 0 , - 10 ) , ( 0,10 )\)
• foci: \(( 0 , - \sqrt { 181 } ) , ( 0 , \sqrt { 181 } )\)
• C) vertices: \(( - 10,0 ) , ( 10,0 )\)
• foci: \(( - \sqrt { 19 } , 0 ) , ( \sqrt { 19 } , 0 )\)
• D) vertices: \(( - 9,0 ) , ( 9,0 )\)
• foci: \(( - \sqrt { 181 } , 0 ) , ( \sqrt { 181 } , 0 )\)

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Definitions:

Narmer

An ancient Egyptian pharaoh who is believed to have unified Upper and Lower Egypt, often associated with the Narmer Palette.

God-King

A ruler who is considered to be both a god and a king, embodying the divine right to govern.

Mastaba Tombs

Ancient Egyptian tombs of rectangular shape, featuring a flat roof and underground burial chambers.

False Doors

Architectural elements found mainly in Ancient Egyptian tombs and mortuary temples, symbolizing a doorway between the worlds of the living and the dead.