Write the Standard Form of the Equation of the Circle $( - 7,4 ) , ( 1,6 )$

question 101

Multiple Choice

Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter:
$( - 7,4 ) , ( 1,6 )$

• A) \(( x + 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 17\)
• B) \(( x - 5 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 17\)
• C) \(( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 17\)
• D) \(( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 125\)
• E) \(( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 125\)

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Definitions:

Limestone

A type of sedimentary rock, primarily composed of calcium carbonate, often formed from the remains of marine organisms.

Shale

A fine-grained sedimentary rock formed from clay and silt-sized particles, often easily split into thin, parallel layers.

Impermeable Layers

Geological strata that do not allow the passage of water or fluids due to their tightly packed nature.

Permeable Rocks

Rocks that contain pores or cracks through which fluids such as water can easily pass.