Show That the Points Form the Vertices of the Indicated $( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }$

question 7

Multiple Choice

Show that the points form the vertices of the indicated polygon. ?
Right triangle: (3,5) , (5,6) , (6,4)
?

• A) \(( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }\)
• B) \[( \sqrt { 31 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }\]
• C) \[( \sqrt { 7 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }\]
• D) \(( \sqrt { 11 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }\)
• E) \(( \sqrt { 34 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }\)

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Definitions:

Aggregate Demand

Aggregate demand is the total demand for all goods and services within an economy at a given overall price level and in a given time period.

Multiplier Effect

The phenomenon where an initial change in spending leads to a greater overall change in income and output in the economy.

Business Activity

Collective commercial, industrial, or professional operations within an economy, indicative of its overall economic health.

MPC

Marginal Propensity to Consume, a measure in economics that indicates the proportion of additional income that a household is likely to spend on consumption rather than saving.